How to Find GCF of 7149/375, 7675/3956?

GCF of 7149/375, 7675/3956

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 7149/375, 7675/3956 i.e 1/1483500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7149/375, 7675/3956.

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 7149/375,7675/3956?

Given fractions are 7149/375,7675/3956

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 7149/375,7675/3956, numerators are 7149,7675

Denominators are 375,3956

The GCF of 7149,7675 is 1 .

LCM of 375,3956 is 1483500.

The greatest common factor of 7149/375,7675/3956 = [GCF of 7149,7675]/[LCM of 375,3956]= 1/1483500

Therefore, the GCF of 7149/375,7675/3956 is 1/1483500.

Greatest Common Factor of 7149,7675

To find the highest common factor of 7149,7675, we have to find the factors of both numbers and list the highest common factor.

The factors of 7149 are 1, 3, 2383, 7149

The factors of 7675 are 1, 5, 25, 307, 1535, 7675

The HCF of 7149,7675 is 1.

Lets's calculate GCF of 7149,7675

Greatest Common Factor (GCF) of 7149,7675 By Common Division

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

Greatest Common Factor of 7149,7675 By Matching Biggest Common Factor Method

Now, list down the factors of 7149

1,3,2383,7149

Now, list down the factors of 7675

1,5,25,307,1535,7675

Greatest Common Factor

We found the factors 7149,7675 . The biggest common factor number is the GCF number.
So the greatest common factor 7149,7675 is 1.

Lets's calculate LCM of 375,3956

Lowest Common Multiple of 375,3956 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1483500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1483500

Therefore, the GCF of Fractions 7149/375,7675/3956 is 1/1483500

Least Common Multiple of 375,3956 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 375,3956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,3956) = 1

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

GCF(375,3956) x common factors =1 x 1 = 1

LCM(375,3956) = ( 375 × 3956 ) / 1

LCM(375,3956) = 1483500 / 1

LCM(375,3956) = 1483500

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FAQs on GCF of Fractions of 7149/375, 7675/3956

1. What is the HCF of 7149,7675?

The HCF of 7149,7675 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 7149/375, 7675/3956?

Answer: GCF of Numerators as per given numbers 7149/375, 7675/3956 is

GCF of Numerators i.e. for 7149,7675 is 1

LCM of denominators i.e. for 375,3956 is 1483500.

Thus, GCF of Fractions is 1/1483500.Finally, GCF of Fractions for 7149/375, 7675/3956 is 1/1483500.