LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 3222/616, 8856/4961

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 3222/616, 8856/4961 i.e 18/277816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3222/616, 8856/4961.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3222/616,8856/4961?

Given fractions are 3222/616,8856/4961

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3222/616,8856/4961, numerators are 3222,8856

Denominators are 616,4961

The GCF of 3222,8856 is 18 .

LCM of 616,4961 is 277816.

The greatest common factor of 3222/616,8856/4961 = [GCF of 3222,8856]/[LCM of 616,4961]= 18/277816

Therefore, the GCF of 3222/616,8856/4961 is 18/277816.

Greatest Common Factor of 3222,8856

To find the highest common factor of 3222,8856, we have to find the factors of both numbers and list the highest common factor.

The factors of 3222 are 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222

The factors of 8856 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 82, 108, 123, 164, 216, 246, 328, 369, 492, 738, 984, 1107, 1476, 2214, 2952, 4428, 8856

The HCF of 3222,8856 is 18.

Lets's calculate GCF of 3222,8856

Greatest Common Factor (GCF) of 3222,8856 By Common Division

2 3222, 8856
3 1611, 4428
3 537, 1476
179, 492

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 3222,8856 By Matching Biggest Common Factor Method

Greatest Common Factor of 3222,8856 By Matching Biggest Common Factor Method

Now, list down the factors of 3222

:

1,2,3,6,9,18,179,358,537,1074,1611,3222

Now, list down the factors of 8856

:

1,2,3,4,6,8,9,12,18,24,27,36,41,54,72,82,108,123,164,216,246,328,369,492,738,984,1107,1476,2214,2952,4428,8856

Greatest Common Factor

We found the factors 3222,8856 . The biggest common factor number is the GCF number.
So the greatest common factor 3222,8856 is 18.


Lets's calculate LCM of 616,4961

Lowest Common Multiple of 616,4961 using Common Division

11 616, 4961
56, 451

∴ So the LCM of the given numbers is 11 x 56 x 451 = 277816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/277816

Therefore, the GCF of Fractions 3222/616,8856/4961 is 18/277816

Least Common Multiple of 616,4961 with GCF Formula

Least Common Multiple of 616,4961 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 616,4961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,4961) = 11

common factors(in case of two or more numbers have common factors) = 1

GCF(616,4961) x common factors =11 x 1 = 11

LCM(616,4961) = ( 616 × 4961 ) / 11

LCM(616,4961) = 3055976 / 11

LCM(616,4961) = 277816


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3222/616, 8856/4961

1. What is the HCF of 3222,8856?

The HCF of 3222,8856 is 18

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 3222/616, 8856/4961?

Answer: GCF of Numerators as per given numbers 3222/616, 8856/4961 is

GCF of Numerators i.e. for 3222,8856 is 18

LCM of denominators i.e. for 616,4961 is 277816.

Thus, GCF of Fractions is 18/277816.Finally, GCF of Fractions for 3222/616, 8856/4961 is 18/277816.