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GCF of 631/93, 826/653

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 631/93, 826/653 i.e 1/60729 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/93, 826/653.

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 631/93,826/653?

Given fractions are 631/93,826/653

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 631/93,826/653, numerators are 631,826

Denominators are 93,653

The GCF of 631,826 is 1 .

LCM of 93,653 is 60729.

The greatest common factor of 631/93,826/653 = [GCF of 631,826]/[LCM of 93,653]= 1/60729

Therefore, the GCF of 631/93,826/653 is 1/60729.

Greatest Common Factor of 631,826

To find the highest common factor of 631,826, we have to find the factors of both numbers and list the highest common factor.

The factors of 631 are 1, 631

The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826

The HCF of 631,826 is 1.

Lets's calculate GCF of 631,826

Greatest Common Factor (GCF) of 631,826 By Common Division

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

Greatest Common Factor of 631,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,826 By Matching Biggest Common Factor Method

Now, list down the factors of 631

:

1,631

Now, list down the factors of 826

:

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 631,826 . The biggest common factor number is the GCF number.
So the greatest common factor 631,826 is 1.

Lets's calculate LCM of 93,653

Lowest Common Multiple of 93,653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 60729

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60729

Therefore, the GCF of Fractions 631/93,826/653 is 1/60729

Least Common Multiple of 93,653 with GCF Formula

Least Common Multiple of 93,653 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 93,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,653) = 1

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

GCF(93,653) x common factors =1 x 1 = 1

LCM(93,653) = ( 93 × 653 ) / 1

LCM(93,653) = 60729 / 1

LCM(93,653) = 60729


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FAQs on GCF of Fractions of 631/93, 826/653

1. What is the HCF of 631,826?

The HCF of 631,826 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 631/93, 826/653?

Answer: GCF of Numerators as per given numbers 631/93, 826/653 is

GCF of Numerators i.e. for 631,826 is 1

LCM of denominators i.e. for 93,653 is 60729.

Thus, GCF of Fractions is 1/60729.Finally, GCF of Fractions for 631/93, 826/653 is 1/60729.