Greatest Common Factor of 6902/357, 1006/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6902/357, 1006/659

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 6902/357,1006/659

Given fractions are 6902/357,1006/659

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 6902,1006

Greatest Common Factor of Numerators i.e. GCF of 6902,1006 is 2 .

LCM of Denominators means LCM of 357,659 as per the given fractions.

LCM of 357,659 is 235263 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6902,1006

GCF of Fractions 6902/357,1006/659 is 2/235263

2 6902, 1006
3451, 503

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6902,1006 By Matching Biggest Common Factor Method

Greatest Common Factor of 6902,1006 By Matching Biggest Common Factor Method

Factors of 6902

List of positive integer factors of 6902 that divides 6902 without a remainder.

1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902

Factors of 1006

List of positive integer factors of 1006 that divides 1006 without a remainder.

1,2,503,1006

Greatest Common Factor

We found the factors 6902,1006 . The biggest common factor number is the GCF number.
So the greatest common factor 6902,1006 is 2.

Lets's calculate LCM of 357,659

Given numbers has no common factors except 1. So, there LCM is their product i.e 235263

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/235263

Therefore, the GCF of Fractions 6902/357,1006/659 is 2/235263

Least Common Multiple of 357,659 with GCF Formula

Least Common Multiple of 357,659 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 357,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,659) = 1

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

GCF(357,659) x common factors =1 x 1 = 1

LCM(357,659) = ( 357 × 659 ) / 1

LCM(357,659) = 235263 / 1

LCM(357,659) = 235263


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 6902/357, 1006/659

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 6902/357, 1006/659?

Answer: GCF of Numerators as per given numbers 6902/357, 1006/659 is

GCF of Numerators i.e. for 6902,1006 is 2

LCM of denominators i.e. for 357,659 is 235263.

Thus, GCF of Fractions is 2/235263.Finally, GCF of Fractions for 6902/357, 1006/659 is 2/235263.