Greatest Common Factor of 3430/31, 6587/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3430/31, 6587/508

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 3430/31,6587/508

Given fractions are 3430/31,6587/508

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 3430,6587

Greatest Common Factor of Numerators i.e. GCF of 3430,6587 is 7 .

LCM of Denominators means LCM of 31,508 as per the given fractions.

LCM of 31,508 is 15748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3430,6587

GCF of Fractions 3430/31,6587/508 is 7/15748

7 3430, 6587
490, 941

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3430,6587 By Matching Biggest Common Factor Method

Greatest Common Factor of 3430,6587 By Matching Biggest Common Factor Method

Factors of 3430

List of positive integer factors of 3430 that divides 3430 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,343,490,686,1715,3430

Factors of 6587

List of positive integer factors of 6587 that divides 6587 without a remainder.

1,7,941,6587

Greatest Common Factor

We found the factors 3430,6587 . The biggest common factor number is the GCF number.
So the greatest common factor 3430,6587 is 7.

Lets's calculate LCM of 31,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 15748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/15748

Therefore, the GCF of Fractions 3430/31,6587/508 is 7/15748

Least Common Multiple of 31,508 with GCF Formula

Least Common Multiple of 31,508 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 31,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,508) = 1

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

GCF(31,508) x common factors =1 x 1 = 1

LCM(31,508) = ( 31 × 508 ) / 1

LCM(31,508) = 15748 / 1

LCM(31,508) = 15748


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 3430/31, 6587/508

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 3430/31, 6587/508?

Answer: GCF of Numerators as per given numbers 3430/31, 6587/508 is

GCF of Numerators i.e. for 3430,6587 is 7

LCM of denominators i.e. for 31,508 is 15748.

Thus, GCF of Fractions is 7/15748.Finally, GCF of Fractions for 3430/31, 6587/508 is 7/15748.