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GCF of 173/376, 7867/3948

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 173/376, 7867/3948 i.e 1/7896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 173/376, 7867/3948.

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 173/376,7867/3948?

Given fractions are 173/376,7867/3948

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 173/376,7867/3948, numerators are 173,7867

Denominators are 376,3948

The GCF of 173,7867 is 1 .

LCM of 376,3948 is 7896.

The greatest common factor of 173/376,7867/3948 = [GCF of 173,7867]/[LCM of 376,3948]= 1/7896

Therefore, the GCF of 173/376,7867/3948 is 1/7896.

Greatest Common Factor of 173,7867

To find the highest common factor of 173,7867, we have to find the factors of both numbers and list the highest common factor.

The factors of 173 are 1, 173

The factors of 7867 are 1, 7867

The HCF of 173,7867 is 1.

Lets's calculate GCF of 173,7867

Greatest Common Factor (GCF) of 173,7867 By Common Division

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

Greatest Common Factor of 173,7867 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,7867 By Matching Biggest Common Factor Method

Now, list down the factors of 173

:

1,173

Now, list down the factors of 7867

:

1,7867

Greatest Common Factor

We found the factors 173,7867 . The biggest common factor number is the GCF number.
So the greatest common factor 173,7867 is 1.

Lets's calculate LCM of 376,3948

Lowest Common Multiple of 376,3948 using Common Division

2 376, 3948
2 188, 1974
47 94, 987
2, 21

∴ So the LCM of the given numbers is 2 x 2 x 47 x 2 x 21 = 7896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7896

Therefore, the GCF of Fractions 173/376,7867/3948 is 1/7896

Least Common Multiple of 376,3948 with GCF Formula

Least Common Multiple of 376,3948 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 376,3948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,3948) = 188

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

GCF(376,3948) x common factors =188 x 1 = 188

LCM(376,3948) = ( 376 × 3948 ) / 188

LCM(376,3948) = 1484448 / 188

LCM(376,3948) = 7896


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FAQs on GCF of Fractions of 173/376, 7867/3948

1. What is the HCF of 173,7867?

The HCF of 173,7867 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 173/376, 7867/3948?

Answer: GCF of Numerators as per given numbers 173/376, 7867/3948 is

GCF of Numerators i.e. for 173,7867 is 1

LCM of denominators i.e. for 376,3948 is 7896.

Thus, GCF of Fractions is 1/7896.Finally, GCF of Fractions for 173/376, 7867/3948 is 1/7896.