Greatest Common Factor of 2107/316, 7006/8618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2107/316, 7006/8618

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 2107/316,7006/8618

Given fractions are 2107/316,7006/8618

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 2107,7006

Greatest Common Factor of Numerators i.e. GCF of 2107,7006 is 1 .

LCM of Denominators means LCM of 316,8618 as per the given fractions.

LCM of 316,8618 is 1361644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2107,7006

GCF of Fractions 2107/316,7006/8618 is 1/1361644

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

Greatest Common Factor of 2107,7006 By Matching Biggest Common Factor Method

Greatest Common Factor of 2107,7006 By Matching Biggest Common Factor Method

Factors of 2107

List of positive integer factors of 2107 that divides 2107 without a remainder.

1,7,43,49,301,2107

Factors of 7006

List of positive integer factors of 7006 that divides 7006 without a remainder.

1,2,31,62,113,226,3503,7006

Greatest Common Factor

We found the factors 2107,7006 . The biggest common factor number is the GCF number.
So the greatest common factor 2107,7006 is 1.

Lets's calculate LCM of 316,8618

2 316, 8618
158, 4309

∴ So the LCM of the given numbers is 2 x 158 x 4309 = 1361644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1361644

Therefore, the GCF of Fractions 2107/316,7006/8618 is 1/1361644

Least Common Multiple of 316,8618 with GCF Formula

Least Common Multiple of 316,8618 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 316,8618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,8618) = 2

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

GCF(316,8618) x common factors =2 x 1 = 2

LCM(316,8618) = ( 316 × 8618 ) / 2

LCM(316,8618) = 2723288 / 2

LCM(316,8618) = 1361644


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 2107/316, 7006/8618

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 2107/316, 7006/8618?

Answer: GCF of Numerators as per given numbers 2107/316, 7006/8618 is

GCF of Numerators i.e. for 2107,7006 is 1

LCM of denominators i.e. for 316,8618 is 1361644.

Thus, GCF of Fractions is 1/1361644.Finally, GCF of Fractions for 2107/316, 7006/8618 is 1/1361644.