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 2315/110, 5332/8216

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 2315/110, 5332/8216 i.e 1/451880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2315/110, 5332/8216.

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 2315/110,5332/8216?

Given fractions are 2315/110,5332/8216

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 2315/110,5332/8216, numerators are 2315,5332

Denominators are 110,8216

The GCF of 2315,5332 is 1 .

LCM of 110,8216 is 451880.

The greatest common factor of 2315/110,5332/8216 = [GCF of 2315,5332]/[LCM of 110,8216]= 1/451880

Therefore, the GCF of 2315/110,5332/8216 is 1/451880.

Greatest Common Factor of 2315,5332

To find the highest common factor of 2315,5332, we have to find the factors of both numbers and list the highest common factor.

The factors of 2315 are 1, 5, 463, 2315

The factors of 5332 are 1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332

The HCF of 2315,5332 is 1.

Lets's calculate GCF of 2315,5332

Greatest Common Factor (GCF) of 2315,5332 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2315,5332 By Matching Biggest Common Factor Method

Greatest Common Factor of 2315,5332 By Matching Biggest Common Factor Method

Now, list down the factors of 2315

:

1,5,463,2315

Now, list down the factors of 5332

:

1,2,4,31,43,62,86,124,172,1333,2666,5332

Greatest Common Factor

We found the factors 2315,5332 . The biggest common factor number is the GCF number.
So the greatest common factor 2315,5332 is 1.


Lets's calculate LCM of 110,8216

Lowest Common Multiple of 110,8216 using Common Division

2 110, 8216
55, 4108

∴ So the LCM of the given numbers is 2 x 55 x 4108 = 451880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/451880

Therefore, the GCF of Fractions 2315/110,5332/8216 is 1/451880

Least Common Multiple of 110,8216 with GCF Formula

Least Common Multiple of 110,8216 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 110,8216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,8216) = 2

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

GCF(110,8216) x common factors =2 x 1 = 2

LCM(110,8216) = ( 110 × 8216 ) / 2

LCM(110,8216) = 903760 / 2

LCM(110,8216) = 451880


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2315/110, 5332/8216

1. What is the HCF of 2315,5332?

The HCF of 2315,5332 is 1

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 2315/110, 5332/8216?

Answer: GCF of Numerators as per given numbers 2315/110, 5332/8216 is

GCF of Numerators i.e. for 2315,5332 is 1

LCM of denominators i.e. for 110,8216 is 451880.

Thus, GCF of Fractions is 1/451880.Finally, GCF of Fractions for 2315/110, 5332/8216 is 1/451880.