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GCF of 92/520, 7348/1211

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 92/520, 7348/1211 i.e 4/629720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/520, 7348/1211.

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 92/520,7348/1211?

Given fractions are 92/520,7348/1211

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 92/520,7348/1211, numerators are 92,7348

Denominators are 520,1211

The GCF of 92,7348 is 4 .

LCM of 520,1211 is 629720.

The greatest common factor of 92/520,7348/1211 = [GCF of 92,7348]/[LCM of 520,1211]= 4/629720

Therefore, the GCF of 92/520,7348/1211 is 4/629720.

Greatest Common Factor of 92,7348

To find the highest common factor of 92,7348, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 7348 are 1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348

The HCF of 92,7348 is 4.

Lets's calculate GCF of 92,7348

Greatest Common Factor (GCF) of 92,7348 By Common Division

2 92, 7348
2 46, 3674
23, 1837

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 92,7348 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,7348 By Matching Biggest Common Factor Method

Now, list down the factors of 92

:

1,2,4,23,46,92

Now, list down the factors of 7348

:

1,2,4,11,22,44,167,334,668,1837,3674,7348

Greatest Common Factor

We found the factors 92,7348 . The biggest common factor number is the GCF number.
So the greatest common factor 92,7348 is 4.

Lets's calculate LCM of 520,1211

Lowest Common Multiple of 520,1211 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 629720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/629720

Therefore, the GCF of Fractions 92/520,7348/1211 is 4/629720

Least Common Multiple of 520,1211 with GCF Formula

Least Common Multiple of 520,1211 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 520,1211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,1211) = 1

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

GCF(520,1211) x common factors =1 x 1 = 1

LCM(520,1211) = ( 520 × 1211 ) / 1

LCM(520,1211) = 629720 / 1

LCM(520,1211) = 629720


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FAQs on GCF of Fractions of 92/520, 7348/1211

1. What is the HCF of 92,7348?

The HCF of 92,7348 is 4

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 92/520, 7348/1211?

Answer: GCF of Numerators as per given numbers 92/520, 7348/1211 is

GCF of Numerators i.e. for 92,7348 is 4

LCM of denominators i.e. for 520,1211 is 629720.

Thus, GCF of Fractions is 4/629720.Finally, GCF of Fractions for 92/520, 7348/1211 is 4/629720.