Greatest Common Factor of 245/67, 535/17, 790/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 245/67, 535/17, 790/832

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 245/67,535/17,790/832

Given fractions are 245/67,535/17,790/832

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 245,535,790

Greatest Common Factor of Numerators i.e. GCF of 245,535,790 is 5 .

LCM of Denominators means LCM of 67,17,832 as per the given fractions.

LCM of 67,17,832 is 947648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 245,535,790

GCF of Fractions 245/67,535/17,790/832 is 5/947648

5 245, 535, 790
49, 107, 158

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 245,535,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,535,790 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 245,535,790 . The biggest common factor number is the GCF number.
So the greatest common factor 245,535,790 is 5.

Lets's calculate LCM of 67,17,832

Given numbers has no common factors except 1. So, there LCM is their product i.e 947648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/947648

Therefore, the GCF of Fractions 245/67,535/17,790/832 is 5/947648

Least Common Multiple of 67,17,832 with GCF Formula

Least Common Multiple of 67,17,832 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 67,17,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,17,832) = 1

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

GCF(67,17,832) x common factors =1 x 1 = 1

LCM(67,17,832) = ( 67 × 17 × 832 ) / 1

LCM(67,17,832) = 947648 / 1

LCM(67,17,832) = 947648


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 245/67, 535/17, 790/832

1. 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.

2. What is the GCF of Fractions for 245/67, 535/17, 790/832?

Answer: GCF of Numerators as per given numbers 245/67, 535/17, 790/832 is

GCF of Numerators i.e. for 245,535,790 is 5

LCM of denominators i.e. for 67,17,832 is 947648.

Thus, GCF of Fractions is 5/947648.Finally, GCF of Fractions for 245/67, 535/17, 790/832 is 5/947648.