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GCF of 101/96, 404/779

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 101/96, 404/779 i.e 101/74784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 101/96, 404/779.

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 101/96,404/779?

Given fractions are 101/96,404/779

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 101/96,404/779, numerators are 101,404

Denominators are 96,779

The GCF of 101,404 is 101 .

LCM of 96,779 is 74784.

The greatest common factor of 101/96,404/779 = [GCF of 101,404]/[LCM of 96,779]= 101/74784

Therefore, the GCF of 101/96,404/779 is 101/74784.

Greatest Common Factor of 101,404

To find the highest common factor of 101,404, 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 404 are 1, 2, 4, 101, 202, 404

The HCF of 101,404 is 101.

Lets's calculate GCF of 101,404

Greatest Common Factor (GCF) of 101,404 By Common Division

101 101, 404
1, 4

∴ So the GCF of the given numbers is 101 = 101

Greatest Common Factor of 101,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,404 By Matching Biggest Common Factor Method

Now, list down the factors of 101

:

1,101

Now, list down the factors of 404

:

1,2,4,101,202,404

Greatest Common Factor

We found the factors 101,404 . The biggest common factor number is the GCF number.
So the greatest common factor 101,404 is 101.

Lets's calculate LCM of 96,779

Lowest Common Multiple of 96,779 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 74784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/74784

Therefore, the GCF of Fractions 101/96,404/779 is 101/74784

Least Common Multiple of 96,779 with GCF Formula

Least Common Multiple of 96,779 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 96,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,779) = 1

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

GCF(96,779) x common factors =1 x 1 = 1

LCM(96,779) = ( 96 × 779 ) / 1

LCM(96,779) = 74784 / 1

LCM(96,779) = 74784


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FAQs on GCF of Fractions of 101/96, 404/779

1. What is the HCF of 101,404?

The HCF of 101,404 is 101

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 101/96, 404/779?

Answer: GCF of Numerators as per given numbers 101/96, 404/779 is

GCF of Numerators i.e. for 101,404 is 101

LCM of denominators i.e. for 96,779 is 74784.

Thus, GCF of Fractions is 101/74784.Finally, GCF of Fractions for 101/96, 404/779 is 101/74784.