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 4881/426, 9118/824

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 4881/426, 9118/824 i.e 1/175512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4881/426, 9118/824.

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 4881/426,9118/824?

Given fractions are 4881/426,9118/824

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 4881/426,9118/824, numerators are 4881,9118

Denominators are 426,824

The GCF of 4881,9118 is 1 .

LCM of 426,824 is 175512.

The greatest common factor of 4881/426,9118/824 = [GCF of 4881,9118]/[LCM of 426,824]= 1/175512

Therefore, the GCF of 4881/426,9118/824 is 1/175512.

Greatest Common Factor of 4881,9118

To find the highest common factor of 4881,9118, we have to find the factors of both numbers and list the highest common factor.

The factors of 4881 are 1, 3, 1627, 4881

The factors of 9118 are 1, 2, 47, 94, 97, 194, 4559, 9118

The HCF of 4881,9118 is 1.

Lets's calculate GCF of 4881,9118

Greatest Common Factor (GCF) of 4881,9118 By Common Division

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

Greatest Common Factor of 4881,9118 By Matching Biggest Common Factor Method

Greatest Common Factor of 4881,9118 By Matching Biggest Common Factor Method

Now, list down the factors of 4881

:

1,3,1627,4881

Now, list down the factors of 9118

:

1,2,47,94,97,194,4559,9118

Greatest Common Factor

We found the factors 4881,9118 . The biggest common factor number is the GCF number.
So the greatest common factor 4881,9118 is 1.

Lets's calculate LCM of 426,824

Lowest Common Multiple of 426,824 using Common Division

2 426, 824
213, 412

∴ So the LCM of the given numbers is 2 x 213 x 412 = 175512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175512

Therefore, the GCF of Fractions 4881/426,9118/824 is 1/175512

Least Common Multiple of 426,824 with GCF Formula

Least Common Multiple of 426,824 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 426,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,824) = 2

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

GCF(426,824) x common factors =2 x 1 = 2

LCM(426,824) = ( 426 × 824 ) / 2

LCM(426,824) = 351024 / 2

LCM(426,824) = 175512


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4881/426, 9118/824

1. What is the HCF of 4881,9118?

The HCF of 4881,9118 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 4881/426, 9118/824?

Answer: GCF of Numerators as per given numbers 4881/426, 9118/824 is

GCF of Numerators i.e. for 4881,9118 is 1

LCM of denominators i.e. for 426,824 is 175512.

Thus, GCF of Fractions is 1/175512.Finally, GCF of Fractions for 4881/426, 9118/824 is 1/175512.