Greatest Common Factor of 30/64, 59/690, 407/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/64, 59/690, 407/602

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 30/64,59/690,407/602

Given fractions are 30/64,59/690,407/602

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 30,59,407

Greatest Common Factor of Numerators i.e. GCF of 30,59,407 is 1 .

LCM of Denominators means LCM of 64,690,602 as per the given fractions.

LCM of 64,690,602 is 6646080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,59,407

GCF of Fractions 30/64,59/690,407/602 is 1/6646080

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

Greatest Common Factor of 30,59,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,59,407 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 30,59,407 . The biggest common factor number is the GCF number.
So the greatest common factor 30,59,407 is 1.

Lets's calculate LCM of 64,690,602

2 64, 690, 602
32, 345, 301

∴ So the LCM of the given numbers is 2 x 32 x 345 x 301 = 6646080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6646080

Therefore, the GCF of Fractions 30/64,59/690,407/602 is 1/6646080

Least Common Multiple of 64,690,602 with GCF Formula

Least Common Multiple of 64,690,602 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 64,690,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,690,602) = 2

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

GCF(64,690,602) x common factors =2 x 2 = 4

LCM(64,690,602) = ( 64 × 690 × 602 ) / 4

LCM(64,690,602) = 26584320 / 4

LCM(64,690,602) = 6646080


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 30/64, 59/690, 407/602

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 30/64, 59/690, 407/602?

Answer: GCF of Numerators as per given numbers 30/64, 59/690, 407/602 is

GCF of Numerators i.e. for 30,59,407 is 1

LCM of denominators i.e. for 64,690,602 is 6646080.

Thus, GCF of Fractions is 1/6646080.Finally, GCF of Fractions for 30/64, 59/690, 407/602 is 1/6646080.