Greatest Common Factor of 78/697, 186/638, 143/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/697, 186/638, 143/618

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 78/697,186/638,143/618

Given fractions are 78/697,186/638,143/618

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 78,186,143

Greatest Common Factor of Numerators i.e. GCF of 78,186,143 is 1 .

LCM of Denominators means LCM of 697,638,618 as per the given fractions.

LCM of 697,638,618 is 137407974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,186,143

GCF of Fractions 78/697,186/638,143/618 is 1/137407974

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

Greatest Common Factor of 78,186,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,186,143 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 78,186,143 . The biggest common factor number is the GCF number.
So the greatest common factor 78,186,143 is 1.

Lets's calculate LCM of 697,638,618

2 697, 638, 618
697, 319, 309

∴ So the LCM of the given numbers is 2 x 697 x 319 x 309 = 137407974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137407974

Therefore, the GCF of Fractions 78/697,186/638,143/618 is 1/137407974

Least Common Multiple of 697,638,618 with GCF Formula

Least Common Multiple of 697,638,618 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 697,638,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,638,618) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(697,638,618) x common factors =1 x 2 = 2

LCM(697,638,618) = ( 697 × 638 × 618 ) / 2

LCM(697,638,618) = 274815948 / 2

LCM(697,638,618) = 137407974


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 78/697, 186/638, 143/618

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 78/697, 186/638, 143/618?

Answer: GCF of Numerators as per given numbers 78/697, 186/638, 143/618 is

GCF of Numerators i.e. for 78,186,143 is 1

LCM of denominators i.e. for 697,638,618 is 137407974.

Thus, GCF of Fractions is 1/137407974.Finally, GCF of Fractions for 78/697, 186/638, 143/618 is 1/137407974.