How to Find GCF of 477/634, 2500/841?

GCF of 477/634, 2500/841

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 477/634, 2500/841 i.e 1/533194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 477/634, 2500/841.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 477/634,2500/841?

Given fractions are 477/634,2500/841

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 477/634,2500/841, numerators are 477,2500

Denominators are 634,841

The GCF of 477,2500 is 1 .

LCM of 634,841 is 533194.

The greatest common factor of 477/634,2500/841 = [GCF of 477,2500]/[LCM of 634,841]= 1/533194

Therefore, the GCF of 477/634,2500/841 is 1/533194.

Greatest Common Factor of 477,2500

To find the highest common factor of 477,2500, we have to find the factors of both numbers and list the highest common factor.

The factors of 477 are 1, 3, 9, 53, 159, 477

The factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500

The HCF of 477,2500 is 1.

Lets's calculate GCF of 477,2500

Greatest Common Factor (GCF) of 477,2500 By Common Division

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

Greatest Common Factor of 477,2500 By Matching Biggest Common Factor Method

Now, list down the factors of 477

1,3,9,53,159,477

Now, list down the factors of 2500

1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500

Greatest Common Factor

We found the factors 477,2500 . The biggest common factor number is the GCF number.
So the greatest common factor 477,2500 is 1.

Lets's calculate LCM of 634,841

Lowest Common Multiple of 634,841 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 533194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533194

Therefore, the GCF of Fractions 477/634,2500/841 is 1/533194

Least Common Multiple of 634,841 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 634,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,841) = 1

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

GCF(634,841) x common factors =1 x 1 = 1

LCM(634,841) = ( 634 × 841 ) / 1

LCM(634,841) = 533194 / 1

LCM(634,841) = 533194

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FAQs on GCF of Fractions of 477/634, 2500/841

1. What is the HCF of 477,2500?

The HCF of 477,2500 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 477/634, 2500/841?

Answer: GCF of Numerators as per given numbers 477/634, 2500/841 is

GCF of Numerators i.e. for 477,2500 is 1

LCM of denominators i.e. for 634,841 is 533194.

Thus, GCF of Fractions is 1/533194.Finally, GCF of Fractions for 477/634, 2500/841 is 1/533194.