Greatest Common Factor of 869/61, 655/48, 906/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 869/61, 655/48, 906/509

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 869/61,655/48,906/509

Given fractions are 869/61,655/48,906/509

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 869,655,906

Greatest Common Factor of Numerators i.e. GCF of 869,655,906 is 1 .

LCM of Denominators means LCM of 61,48,509 as per the given fractions.

LCM of 61,48,509 is 1490352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 869,655,906

GCF of Fractions 869/61,655/48,906/509 is 1/1490352

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

Greatest Common Factor of 869,655,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,655,906 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 869,655,906 . The biggest common factor number is the GCF number.
So the greatest common factor 869,655,906 is 1.

Lets's calculate LCM of 61,48,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 1490352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1490352

Therefore, the GCF of Fractions 869/61,655/48,906/509 is 1/1490352

Least Common Multiple of 61,48,509 with GCF Formula

Least Common Multiple of 61,48,509 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 61,48,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,48,509) = 1

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

GCF(61,48,509) x common factors =1 x 1 = 1

LCM(61,48,509) = ( 61 × 48 × 509 ) / 1

LCM(61,48,509) = 1490352 / 1

LCM(61,48,509) = 1490352


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 869/61, 655/48, 906/509

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 869/61, 655/48, 906/509?

Answer: GCF of Numerators as per given numbers 869/61, 655/48, 906/509 is

GCF of Numerators i.e. for 869,655,906 is 1

LCM of denominators i.e. for 61,48,509 is 1490352.

Thus, GCF of Fractions is 1/1490352.Finally, GCF of Fractions for 869/61, 655/48, 906/509 is 1/1490352.