Greatest Common Factor of 42/49, 64/59, 667/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/49, 64/59, 667/785

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 42/49,64/59,667/785

Given fractions are 42/49,64/59,667/785

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 42,64,667

Greatest Common Factor of Numerators i.e. GCF of 42,64,667 is 1 .

LCM of Denominators means LCM of 49,59,785 as per the given fractions.

LCM of 49,59,785 is 2269435 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,64,667

GCF of Fractions 42/49,64/59,667/785 is 1/2269435

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

Greatest Common Factor of 42,64,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,64,667 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 42,64,667 . The biggest common factor number is the GCF number.
So the greatest common factor 42,64,667 is 1.

Lets's calculate LCM of 49,59,785

Given numbers has no common factors except 1. So, there LCM is their product i.e 2269435

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2269435

Therefore, the GCF of Fractions 42/49,64/59,667/785 is 1/2269435

Least Common Multiple of 49,59,785 with GCF Formula

Least Common Multiple of 49,59,785 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 49,59,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,59,785) = 1

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

GCF(49,59,785) x common factors =1 x 1 = 1

LCM(49,59,785) = ( 49 × 59 × 785 ) / 1

LCM(49,59,785) = 2269435 / 1

LCM(49,59,785) = 2269435


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 42/49, 64/59, 667/785

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 42/49, 64/59, 667/785?

Answer: GCF of Numerators as per given numbers 42/49, 64/59, 667/785 is

GCF of Numerators i.e. for 42,64,667 is 1

LCM of denominators i.e. for 49,59,785 is 2269435.

Thus, GCF of Fractions is 1/2269435.Finally, GCF of Fractions for 42/49, 64/59, 667/785 is 1/2269435.