How to Find GCF of 3167/376, 1855/5072?

GCF of 3167/376, 1855/5072

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 3167/376, 1855/5072 i.e 1/238384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3167/376, 1855/5072.

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 3167/376,1855/5072?

Given fractions are 3167/376,1855/5072

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 3167/376,1855/5072, numerators are 3167,1855

Denominators are 376,5072

The GCF of 3167,1855 is 1 .

LCM of 376,5072 is 238384.

The greatest common factor of 3167/376,1855/5072 = [GCF of 3167,1855]/[LCM of 376,5072]= 1/238384

Therefore, the GCF of 3167/376,1855/5072 is 1/238384.

Greatest Common Factor of 3167,1855

To find the highest common factor of 3167,1855, we have to find the factors of both numbers and list the highest common factor.

The factors of 3167 are 1, 3167

The factors of 1855 are 1, 5, 7, 35, 53, 265, 371, 1855

The HCF of 3167,1855 is 1.

Lets's calculate GCF of 3167,1855

Greatest Common Factor (GCF) of 3167,1855 By Common Division

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

Greatest Common Factor of 3167,1855 By Matching Biggest Common Factor Method

Now, list down the factors of 3167

1,3167

Now, list down the factors of 1855

1,5,7,35,53,265,371,1855

Greatest Common Factor

We found the factors 3167,1855 . The biggest common factor number is the GCF number.
So the greatest common factor 3167,1855 is 1.

Lets's calculate LCM of 376,5072

Lowest Common Multiple of 376,5072 using Common Division

2	376, 5072
2	188, 2536
2	94, 1268
	47, 634

∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 634 = 238384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238384

Therefore, the GCF of Fractions 3167/376,1855/5072 is 1/238384

Least Common Multiple of 376,5072 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 376,5072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,5072) = 8

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

GCF(376,5072) x common factors =8 x 1 = 8

LCM(376,5072) = ( 376 × 5072 ) / 8

LCM(376,5072) = 1907072 / 8

LCM(376,5072) = 238384

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FAQs on GCF of Fractions of 3167/376, 1855/5072

1. What is the HCF of 3167,1855?

The HCF of 3167,1855 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 3167/376, 1855/5072?

Answer: GCF of Numerators as per given numbers 3167/376, 1855/5072 is

GCF of Numerators i.e. for 3167,1855 is 1

LCM of denominators i.e. for 376,5072 is 238384.

Thus, GCF of Fractions is 1/238384.Finally, GCF of Fractions for 3167/376, 1855/5072 is 1/238384.