Greatest Common Factor of 3630/781, 7618/3707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3630/781, 7618/3707

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 3630/781,7618/3707

Given fractions are 3630/781,7618/3707

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 3630,7618

Greatest Common Factor of Numerators i.e. GCF of 3630,7618 is 2 .

LCM of Denominators means LCM of 781,3707 as per the given fractions.

LCM of 781,3707 is 263197 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3630,7618

GCF of Fractions 3630/781,7618/3707 is 2/263197

2 3630, 7618
1815, 3809

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

Greatest Common Factor of 3630,7618 By Matching Biggest Common Factor Method

Greatest Common Factor of 3630,7618 By Matching Biggest Common Factor Method

Factors of 3630

List of positive integer factors of 3630 that divides 3630 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,121,165,242,330,363,605,726,1210,1815,3630

Factors of 7618

List of positive integer factors of 7618 that divides 7618 without a remainder.

1,2,13,26,293,586,3809,7618

Greatest Common Factor

We found the factors 3630,7618 . The biggest common factor number is the GCF number.
So the greatest common factor 3630,7618 is 2.

Lets's calculate LCM of 781,3707

11 781, 3707
71, 337

∴ So the LCM of the given numbers is 11 x 71 x 337 = 263197

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/263197

Therefore, the GCF of Fractions 3630/781,7618/3707 is 2/263197

Least Common Multiple of 781,3707 with GCF Formula

Least Common Multiple of 781,3707 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 781,3707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(781,3707) = 11

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

GCF(781,3707) x common factors =11 x 1 = 11

LCM(781,3707) = ( 781 × 3707 ) / 11

LCM(781,3707) = 2895167 / 11

LCM(781,3707) = 263197


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 3630/781, 7618/3707

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 3630/781, 7618/3707?

Answer: GCF of Numerators as per given numbers 3630/781, 7618/3707 is

GCF of Numerators i.e. for 3630,7618 is 2

LCM of denominators i.e. for 781,3707 is 263197.

Thus, GCF of Fractions is 2/263197.Finally, GCF of Fractions for 3630/781, 7618/3707 is 2/263197.