Greatest Common Factor of 70/21, 11/30, 24/35, 83/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/21, 11/30, 24/35, 83/336

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 70/21,11/30,24/35,83/336

Given fractions are 70/21,11/30,24/35,83/336

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 70,11,24,83

Greatest Common Factor of Numerators i.e. GCF of 70,11,24,83 is 1 .

LCM of Denominators means LCM of 21,30,35,336 as per the given fractions.

LCM of 21,30,35,336 is 1680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,11,24,83

GCF of Fractions 70/21,11/30,24/35,83/336 is 1/1680

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

Greatest Common Factor of 70,11,24,83 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,11,24,83 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Greatest Common Factor

We found the factors 70,11,24,83 . The biggest common factor number is the GCF number.
So the greatest common factor 70,11,24,83 is 1.

Lets's calculate LCM of 21,30,35,336

2 21, 30, 35, 336
3 21, 15, 35, 168
5 7, 5, 35, 56
7 7, 1, 7, 56
1, 1, 1, 8

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 1 x 1 x 8 = 1680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680

Therefore, the GCF of Fractions 70/21,11/30,24/35,83/336 is 1/1680

Least Common Multiple of 21,30,35,336 with GCF Formula

Least Common Multiple of 21,30,35,336 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 21,30,35,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,30,35,336) = 1

common factors(in case of two or more numbers have common factors) = 4410

GCF(21,30,35,336) x common factors =1 x 4410 = 4410

LCM(21,30,35,336) = ( 21 × 30 × 35 × 336 ) / 4410

LCM(21,30,35,336) = 7408800 / 4410

LCM(21,30,35,336) = 1680


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 70/21, 11/30, 24/35, 83/336

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 70/21, 11/30, 24/35, 83/336?

Answer: GCF of Numerators as per given numbers 70/21, 11/30, 24/35, 83/336 is

GCF of Numerators i.e. for 70,11,24,83 is 1

LCM of denominators i.e. for 21,30,35,336 is 1680.

Thus, GCF of Fractions is 1/1680.Finally, GCF of Fractions for 70/21, 11/30, 24/35, 83/336 is 1/1680.