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GCF of 338/374, 377/126

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 338/374, 377/126 i.e 13/23562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 338/374, 377/126.

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 338/374,377/126?

Given fractions are 338/374,377/126

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 338/374,377/126, numerators are 338,377

Denominators are 374,126

The GCF of 338,377 is 13 .

LCM of 374,126 is 23562.

The greatest common factor of 338/374,377/126 = [GCF of 338,377]/[LCM of 374,126]= 13/23562

Therefore, the GCF of 338/374,377/126 is 13/23562.

Greatest Common Factor of 338,377

To find the highest common factor of 338,377, we have to find the factors of both numbers and list the highest common factor.

The factors of 338 are 1, 2, 13, 26, 169, 338

The factors of 377 are 1, 13, 29, 377

The HCF of 338,377 is 13.

Lets's calculate GCF of 338,377

Greatest Common Factor (GCF) of 338,377 By Common Division

13 338, 377
26, 29

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 338,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,377 By Matching Biggest Common Factor Method

Now, list down the factors of 338

:

1,2,13,26,169,338

Now, list down the factors of 377

:

1,13,29,377

Greatest Common Factor

We found the factors 338,377 . The biggest common factor number is the GCF number.
So the greatest common factor 338,377 is 13.

Lets's calculate LCM of 374,126

Lowest Common Multiple of 374,126 using Common Division

2 374, 126
187, 63

∴ So the LCM of the given numbers is 2 x 187 x 63 = 23562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/23562

Therefore, the GCF of Fractions 338/374,377/126 is 13/23562

Least Common Multiple of 374,126 with GCF Formula

Least Common Multiple of 374,126 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 374,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,126) = 2

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

GCF(374,126) x common factors =2 x 1 = 2

LCM(374,126) = ( 374 × 126 ) / 2

LCM(374,126) = 47124 / 2

LCM(374,126) = 23562


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FAQs on GCF of Fractions of 338/374, 377/126

1. What is the HCF of 338,377?

The HCF of 338,377 is 13

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 338/374, 377/126?

Answer: GCF of Numerators as per given numbers 338/374, 377/126 is

GCF of Numerators i.e. for 338,377 is 13

LCM of denominators i.e. for 374,126 is 23562.

Thus, GCF of Fractions is 13/23562.Finally, GCF of Fractions for 338/374, 377/126 is 13/23562.