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GCF of 964/280, 9689/6596

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 964/280, 9689/6596 i.e 1/461720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 964/280, 9689/6596.

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 964/280,9689/6596?

Given fractions are 964/280,9689/6596

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 964/280,9689/6596, numerators are 964,9689

Denominators are 280,6596

The GCF of 964,9689 is 1 .

LCM of 280,6596 is 461720.

The greatest common factor of 964/280,9689/6596 = [GCF of 964,9689]/[LCM of 280,6596]= 1/461720

Therefore, the GCF of 964/280,9689/6596 is 1/461720.

Greatest Common Factor of 964,9689

To find the highest common factor of 964,9689, we have to find the factors of both numbers and list the highest common factor.

The factors of 964 are 1, 2, 4, 241, 482, 964

The factors of 9689 are 1, 9689

The HCF of 964,9689 is 1.

Lets's calculate GCF of 964,9689

Greatest Common Factor (GCF) of 964,9689 By Common Division

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

Greatest Common Factor of 964,9689 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,9689 By Matching Biggest Common Factor Method

Now, list down the factors of 964

:

1,2,4,241,482,964

Now, list down the factors of 9689

:

1,9689

Greatest Common Factor

We found the factors 964,9689 . The biggest common factor number is the GCF number.
So the greatest common factor 964,9689 is 1.

Lets's calculate LCM of 280,6596

Lowest Common Multiple of 280,6596 using Common Division

2 280, 6596
2 140, 3298
70, 1649

∴ So the LCM of the given numbers is 2 x 2 x 70 x 1649 = 461720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/461720

Therefore, the GCF of Fractions 964/280,9689/6596 is 1/461720

Least Common Multiple of 280,6596 with GCF Formula

Least Common Multiple of 280,6596 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 280,6596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,6596) = 4

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

GCF(280,6596) x common factors =4 x 1 = 4

LCM(280,6596) = ( 280 × 6596 ) / 4

LCM(280,6596) = 1846880 / 4

LCM(280,6596) = 461720


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FAQs on GCF of Fractions of 964/280, 9689/6596

1. What is the HCF of 964,9689?

The HCF of 964,9689 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 964/280, 9689/6596?

Answer: GCF of Numerators as per given numbers 964/280, 9689/6596 is

GCF of Numerators i.e. for 964,9689 is 1

LCM of denominators i.e. for 280,6596 is 461720.

Thus, GCF of Fractions is 1/461720.Finally, GCF of Fractions for 964/280, 9689/6596 is 1/461720.