How to Find GCF of 4912/391, 8456/2701?

GCF of 4912/391, 8456/2701

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 4912/391, 8456/2701 i.e 8/1056091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4912/391, 8456/2701.

Enter two or more fractions separated by "commas"

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

What is the GCF of 4912/391,8456/2701?

Given fractions are 4912/391,8456/2701

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 4912/391,8456/2701, numerators are 4912,8456

Denominators are 391,2701

The GCF of 4912,8456 is 8 .

LCM of 391,2701 is 1056091.

The greatest common factor of 4912/391,8456/2701 = [GCF of 4912,8456]/[LCM of 391,2701]= 8/1056091

Therefore, the GCF of 4912/391,8456/2701 is 8/1056091.

Greatest Common Factor of 4912,8456

To find the highest common factor of 4912,8456, we have to find the factors of both numbers and list the highest common factor.

The factors of 4912 are 1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912

The factors of 8456 are 1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456

The HCF of 4912,8456 is 8.

Lets's calculate GCF of 4912,8456

Greatest Common Factor (GCF) of 4912,8456 By Common Division

2	4912, 8456
2	2456, 4228
2	1228, 2114
	614, 1057

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4912,8456 By Matching Biggest Common Factor Method

Now, list down the factors of 4912

1,2,4,8,16,307,614,1228,2456,4912

Now, list down the factors of 8456

1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456

Greatest Common Factor

We found the factors 4912,8456 . The biggest common factor number is the GCF number.
So the greatest common factor 4912,8456 is 8.

Lets's calculate LCM of 391,2701

Lowest Common Multiple of 391,2701 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1056091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1056091

Therefore, the GCF of Fractions 4912/391,8456/2701 is 8/1056091

Least Common Multiple of 391,2701 with GCF Formula

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

We need to calculate greatest common factor of 391,2701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,2701) = 1

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

GCF(391,2701) x common factors =1 x 1 = 1

LCM(391,2701) = ( 391 × 2701 ) / 1

LCM(391,2701) = 1056091 / 1

LCM(391,2701) = 1056091

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FAQs on GCF of Fractions of 4912/391, 8456/2701

1. What is the HCF of 4912,8456?

The HCF of 4912,8456 is 8

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 4912/391, 8456/2701?

Answer: GCF of Numerators as per given numbers 4912/391, 8456/2701 is

GCF of Numerators i.e. for 4912,8456 is 8

LCM of denominators i.e. for 391,2701 is 1056091.

Thus, GCF of Fractions is 8/1056091.Finally, GCF of Fractions for 4912/391, 8456/2701 is 8/1056091.