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GCF of 965/874, 3109/626

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 965/874, 3109/626 i.e 1/273562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 965/874, 3109/626.

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 965/874,3109/626?

Given fractions are 965/874,3109/626

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 965/874,3109/626, numerators are 965,3109

Denominators are 874,626

The GCF of 965,3109 is 1 .

LCM of 874,626 is 273562.

The greatest common factor of 965/874,3109/626 = [GCF of 965,3109]/[LCM of 874,626]= 1/273562

Therefore, the GCF of 965/874,3109/626 is 1/273562.

Greatest Common Factor of 965,3109

To find the highest common factor of 965,3109, we have to find the factors of both numbers and list the highest common factor.

The factors of 965 are 1, 5, 193, 965

The factors of 3109 are 1, 3109

The HCF of 965,3109 is 1.

Lets's calculate GCF of 965,3109

Greatest Common Factor (GCF) of 965,3109 By Common Division

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

Greatest Common Factor of 965,3109 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,3109 By Matching Biggest Common Factor Method

Now, list down the factors of 965

:

1,5,193,965

Now, list down the factors of 3109

:

1,3109

Greatest Common Factor

We found the factors 965,3109 . The biggest common factor number is the GCF number.
So the greatest common factor 965,3109 is 1.

Lets's calculate LCM of 874,626

Lowest Common Multiple of 874,626 using Common Division

2 874, 626
437, 313

∴ So the LCM of the given numbers is 2 x 437 x 313 = 273562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273562

Therefore, the GCF of Fractions 965/874,3109/626 is 1/273562

Least Common Multiple of 874,626 with GCF Formula

Least Common Multiple of 874,626 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 874,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,626) = 2

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

GCF(874,626) x common factors =2 x 1 = 2

LCM(874,626) = ( 874 × 626 ) / 2

LCM(874,626) = 547124 / 2

LCM(874,626) = 273562


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FAQs on GCF of Fractions of 965/874, 3109/626

1. What is the HCF of 965,3109?

The HCF of 965,3109 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 965/874, 3109/626?

Answer: GCF of Numerators as per given numbers 965/874, 3109/626 is

GCF of Numerators i.e. for 965,3109 is 1

LCM of denominators i.e. for 874,626 is 273562.

Thus, GCF of Fractions is 1/273562.Finally, GCF of Fractions for 965/874, 3109/626 is 1/273562.