Greatest Common Factor of 19/70, 42/64, 860/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 19/70, 42/64, 860/640

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 19/70,42/64,860/640

Given fractions are 19/70,42/64,860/640

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 19,42,860

Greatest Common Factor of Numerators i.e. GCF of 19,42,860 is 1 .

LCM of Denominators means LCM of 70,64,640 as per the given fractions.

LCM of 70,64,640 is 4480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 19,42,860

GCF of Fractions 19/70,42/64,860/640 is 1/4480

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

Greatest Common Factor of 19,42,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,42,860 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

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 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 19,42,860 . The biggest common factor number is the GCF number.
So the greatest common factor 19,42,860 is 1.

Lets's calculate LCM of 70,64,640

2 70, 64, 640
2 35, 32, 320
2 35, 16, 160
2 35, 8, 80
2 35, 4, 40
2 35, 2, 20
5 35, 1, 10
7, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 1 x 2 = 4480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4480

Therefore, the GCF of Fractions 19/70,42/64,860/640 is 1/4480

Least Common Multiple of 70,64,640 with GCF Formula

Least Common Multiple of 70,64,640 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 70,64,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,64,640) = 2

common factors(in case of two or more numbers have common factors) = 320

GCF(70,64,640) x common factors =2 x 320 = 640

LCM(70,64,640) = ( 70 × 64 × 640 ) / 640

LCM(70,64,640) = 2867200 / 640

LCM(70,64,640) = 4480


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 19/70, 42/64, 860/640

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 19/70, 42/64, 860/640?

Answer: GCF of Numerators as per given numbers 19/70, 42/64, 860/640 is

GCF of Numerators i.e. for 19,42,860 is 1

LCM of denominators i.e. for 70,64,640 is 4480.

Thus, GCF of Fractions is 1/4480.Finally, GCF of Fractions for 19/70, 42/64, 860/640 is 1/4480.