How to Find GCF of 5867/132, 7970/1726?

GCF of 5867/132, 7970/1726

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 5867/132, 7970/1726 i.e 1/113916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5867/132, 7970/1726.

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 5867/132,7970/1726?

Given fractions are 5867/132,7970/1726

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 5867/132,7970/1726, numerators are 5867,7970

Denominators are 132,1726

The GCF of 5867,7970 is 1 .

LCM of 132,1726 is 113916.

The greatest common factor of 5867/132,7970/1726 = [GCF of 5867,7970]/[LCM of 132,1726]= 1/113916

Therefore, the GCF of 5867/132,7970/1726 is 1/113916.

Greatest Common Factor of 5867,7970

To find the highest common factor of 5867,7970, we have to find the factors of both numbers and list the highest common factor.

The factors of 5867 are 1, 5867

The factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970

The HCF of 5867,7970 is 1.

Lets's calculate GCF of 5867,7970

Greatest Common Factor (GCF) of 5867,7970 By Common Division

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

Greatest Common Factor of 5867,7970 By Matching Biggest Common Factor Method

Now, list down the factors of 5867

1,5867

Now, list down the factors of 7970

1,2,5,10,797,1594,3985,7970

Greatest Common Factor

We found the factors 5867,7970 . The biggest common factor number is the GCF number.
So the greatest common factor 5867,7970 is 1.

Lets's calculate LCM of 132,1726

Lowest Common Multiple of 132,1726 using Common Division

2	132, 1726
	66, 863

∴ So the LCM of the given numbers is 2 x 66 x 863 = 113916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113916

Therefore, the GCF of Fractions 5867/132,7970/1726 is 1/113916

Least Common Multiple of 132,1726 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 132,1726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,1726) = 2

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

GCF(132,1726) x common factors =2 x 1 = 2

LCM(132,1726) = ( 132 × 1726 ) / 2

LCM(132,1726) = 227832 / 2

LCM(132,1726) = 113916

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FAQs on GCF of Fractions of 5867/132, 7970/1726

1. What is the HCF of 5867,7970?

The HCF of 5867,7970 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 5867/132, 7970/1726?

Answer: GCF of Numerators as per given numbers 5867/132, 7970/1726 is

GCF of Numerators i.e. for 5867,7970 is 1

LCM of denominators i.e. for 132,1726 is 113916.

Thus, GCF of Fractions is 1/113916.Finally, GCF of Fractions for 5867/132, 7970/1726 is 1/113916.