Greatest Common Factor of 709/64, 694/60, 388/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 709/64, 694/60, 388/421

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 709/64,694/60,388/421

Given fractions are 709/64,694/60,388/421

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 709,694,388

Greatest Common Factor of Numerators i.e. GCF of 709,694,388 is 1 .

LCM of Denominators means LCM of 64,60,421 as per the given fractions.

LCM of 64,60,421 is 404160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 709,694,388

GCF of Fractions 709/64,694/60,388/421 is 1/404160

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

Greatest Common Factor of 709,694,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,694,388 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 709,694,388 . The biggest common factor number is the GCF number.
So the greatest common factor 709,694,388 is 1.

Lets's calculate LCM of 64,60,421

2 64, 60, 421
2 32, 30, 421
16, 15, 421

∴ So the LCM of the given numbers is 2 x 2 x 16 x 15 x 421 = 404160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404160

Therefore, the GCF of Fractions 709/64,694/60,388/421 is 1/404160

Least Common Multiple of 64,60,421 with GCF Formula

Least Common Multiple of 64,60,421 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 64,60,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,60,421) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,60,421) x common factors =1 x 4 = 4

LCM(64,60,421) = ( 64 × 60 × 421 ) / 4

LCM(64,60,421) = 1616640 / 4

LCM(64,60,421) = 404160


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 709/64, 694/60, 388/421

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 709/64, 694/60, 388/421?

Answer: GCF of Numerators as per given numbers 709/64, 694/60, 388/421 is

GCF of Numerators i.e. for 709,694,388 is 1

LCM of denominators i.e. for 64,60,421 is 404160.

Thus, GCF of Fractions is 1/404160.Finally, GCF of Fractions for 709/64, 694/60, 388/421 is 1/404160.