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GCF of 101/32, 676/960

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 101/32, 676/960 i.e 1/960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 101/32, 676/960.

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 101/32,676/960?

Given fractions are 101/32,676/960

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 101/32,676/960, numerators are 101,676

Denominators are 32,960

The GCF of 101,676 is 1 .

LCM of 32,960 is 960.

The greatest common factor of 101/32,676/960 = [GCF of 101,676]/[LCM of 32,960]= 1/960

Therefore, the GCF of 101/32,676/960 is 1/960.

Greatest Common Factor of 101,676

To find the highest common factor of 101,676, we have to find the factors of both numbers and list the highest common factor.

The factors of 101 are 1, 101

The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676

The HCF of 101,676 is 1.

Lets's calculate GCF of 101,676

Greatest Common Factor (GCF) of 101,676 By Common Division

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

Greatest Common Factor of 101,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,676 By Matching Biggest Common Factor Method

Now, list down the factors of 101

:

1,101

Now, list down the factors of 676

:

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 101,676 . The biggest common factor number is the GCF number.
So the greatest common factor 101,676 is 1.

Lets's calculate LCM of 32,960

Lowest Common Multiple of 32,960 using Common Division

2 32, 960
2 16, 480
2 8, 240
2 4, 120
2 2, 60
1, 30

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 30 = 960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/960

Therefore, the GCF of Fractions 101/32,676/960 is 1/960

Least Common Multiple of 32,960 with GCF Formula

Least Common Multiple of 32,960 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 32,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,960) = 32

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

GCF(32,960) x common factors =32 x 1 = 32

LCM(32,960) = ( 32 × 960 ) / 32

LCM(32,960) = 30720 / 32

LCM(32,960) = 960


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FAQs on GCF of Fractions of 101/32, 676/960

1. What is the HCF of 101,676?

The HCF of 101,676 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 101/32, 676/960?

Answer: GCF of Numerators as per given numbers 101/32, 676/960 is

GCF of Numerators i.e. for 101,676 is 1

LCM of denominators i.e. for 32,960 is 960.

Thus, GCF of Fractions is 1/960.Finally, GCF of Fractions for 101/32, 676/960 is 1/960.