How to Find GCF of 3517/971, 7548/7158?

GCF of 3517/971, 7548/7158

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 3517/971, 7548/7158 i.e 1/6950418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3517/971, 7548/7158.

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 3517/971,7548/7158?

Given fractions are 3517/971,7548/7158

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 3517/971,7548/7158, numerators are 3517,7548

Denominators are 971,7158

The GCF of 3517,7548 is 1 .

LCM of 971,7158 is 6950418.

The greatest common factor of 3517/971,7548/7158 = [GCF of 3517,7548]/[LCM of 971,7158]= 1/6950418

Therefore, the GCF of 3517/971,7548/7158 is 1/6950418.

Greatest Common Factor of 3517,7548

To find the highest common factor of 3517,7548, we have to find the factors of both numbers and list the highest common factor.

The factors of 3517 are 1, 3517

The factors of 7548 are 1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548

The HCF of 3517,7548 is 1.

Lets's calculate GCF of 3517,7548

Greatest Common Factor (GCF) of 3517,7548 By Common Division

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

Greatest Common Factor of 3517,7548 By Matching Biggest Common Factor Method

Now, list down the factors of 3517

1,3517

Now, list down the factors of 7548

1,2,3,4,6,12,17,34,37,51,68,74,102,111,148,204,222,444,629,1258,1887,2516,3774,7548

Greatest Common Factor

We found the factors 3517,7548 . The biggest common factor number is the GCF number.
So the greatest common factor 3517,7548 is 1.

Lets's calculate LCM of 971,7158

Lowest Common Multiple of 971,7158 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6950418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6950418

Therefore, the GCF of Fractions 3517/971,7548/7158 is 1/6950418

Least Common Multiple of 971,7158 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 971,7158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,7158) = 1

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

GCF(971,7158) x common factors =1 x 1 = 1

LCM(971,7158) = ( 971 × 7158 ) / 1

LCM(971,7158) = 6950418 / 1

LCM(971,7158) = 6950418

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FAQs on GCF of Fractions of 3517/971, 7548/7158

1. What is the HCF of 3517,7548?

The HCF of 3517,7548 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 3517/971, 7548/7158?

Answer: GCF of Numerators as per given numbers 3517/971, 7548/7158 is

GCF of Numerators i.e. for 3517,7548 is 1

LCM of denominators i.e. for 971,7158 is 6950418.

Thus, GCF of Fractions is 1/6950418.Finally, GCF of Fractions for 3517/971, 7548/7158 is 1/6950418.