How to Find GCF of 1054/457, 1266/7521?

GCF of 1054/457, 1266/7521

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 1054/457, 1266/7521 i.e 2/3437097 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1054/457, 1266/7521.

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 1054/457,1266/7521?

Given fractions are 1054/457,1266/7521

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 1054/457,1266/7521, numerators are 1054,1266

Denominators are 457,7521

The GCF of 1054,1266 is 2 .

LCM of 457,7521 is 3437097.

The greatest common factor of 1054/457,1266/7521 = [GCF of 1054,1266]/[LCM of 457,7521]= 2/3437097

Therefore, the GCF of 1054/457,1266/7521 is 2/3437097.

Greatest Common Factor of 1054,1266

To find the highest common factor of 1054,1266, we have to find the factors of both numbers and list the highest common factor.

The factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054

The factors of 1266 are 1, 2, 3, 6, 211, 422, 633, 1266

The HCF of 1054,1266 is 2.

Lets's calculate GCF of 1054,1266

Greatest Common Factor (GCF) of 1054,1266 By Common Division

2	1054, 1266
	527, 633

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

Greatest Common Factor of 1054,1266 By Matching Biggest Common Factor Method

Now, list down the factors of 1054

1,2,17,31,34,62,527,1054

Now, list down the factors of 1266

1,2,3,6,211,422,633,1266

Greatest Common Factor

We found the factors 1054,1266 . The biggest common factor number is the GCF number.
So the greatest common factor 1054,1266 is 2.

Lets's calculate LCM of 457,7521

Lowest Common Multiple of 457,7521 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3437097

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3437097

Therefore, the GCF of Fractions 1054/457,1266/7521 is 2/3437097

Least Common Multiple of 457,7521 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 457,7521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,7521) = 1

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

GCF(457,7521) x common factors =1 x 1 = 1

LCM(457,7521) = ( 457 × 7521 ) / 1

LCM(457,7521) = 3437097 / 1

LCM(457,7521) = 3437097

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FAQs on GCF of Fractions of 1054/457, 1266/7521

1. What is the HCF of 1054,1266?

The HCF of 1054,1266 is 2

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 1054/457, 1266/7521?

Answer: GCF of Numerators as per given numbers 1054/457, 1266/7521 is

GCF of Numerators i.e. for 1054,1266 is 2

LCM of denominators i.e. for 457,7521 is 3437097.

Thus, GCF of Fractions is 2/3437097.Finally, GCF of Fractions for 1054/457, 1266/7521 is 2/3437097.