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GCF of 963/900, 541/795

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 963/900, 541/795 i.e 1/47700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 963/900, 541/795.

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 963/900,541/795?

Given fractions are 963/900,541/795

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 963/900,541/795, numerators are 963,541

Denominators are 900,795

The GCF of 963,541 is 1 .

LCM of 900,795 is 47700.

The greatest common factor of 963/900,541/795 = [GCF of 963,541]/[LCM of 900,795]= 1/47700

Therefore, the GCF of 963/900,541/795 is 1/47700.

Greatest Common Factor of 963,541

To find the highest common factor of 963,541, we have to find the factors of both numbers and list the highest common factor.

The factors of 963 are 1, 3, 9, 107, 321, 963

The factors of 541 are 1, 541

The HCF of 963,541 is 1.

Lets's calculate GCF of 963,541

Greatest Common Factor (GCF) of 963,541 By Common Division

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

Greatest Common Factor of 963,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,541 By Matching Biggest Common Factor Method

Now, list down the factors of 963

:

1,3,9,107,321,963

Now, list down the factors of 541

:

1,541

Greatest Common Factor

We found the factors 963,541 . The biggest common factor number is the GCF number.
So the greatest common factor 963,541 is 1.

Lets's calculate LCM of 900,795

Lowest Common Multiple of 900,795 using Common Division

3 900, 795
5 300, 265
60, 53

∴ So the LCM of the given numbers is 3 x 5 x 60 x 53 = 47700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47700

Therefore, the GCF of Fractions 963/900,541/795 is 1/47700

Least Common Multiple of 900,795 with GCF Formula

Least Common Multiple of 900,795 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 900,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,795) = 15

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

GCF(900,795) x common factors =15 x 1 = 15

LCM(900,795) = ( 900 × 795 ) / 15

LCM(900,795) = 715500 / 15

LCM(900,795) = 47700


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FAQs on GCF of Fractions of 963/900, 541/795

1. What is the HCF of 963,541?

The HCF of 963,541 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 963/900, 541/795?

Answer: GCF of Numerators as per given numbers 963/900, 541/795 is

GCF of Numerators i.e. for 963,541 is 1

LCM of denominators i.e. for 900,795 is 47700.

Thus, GCF of Fractions is 1/47700.Finally, GCF of Fractions for 963/900, 541/795 is 1/47700.