Greatest Common Factor of 70/38, 70/81, 42/81, 14/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/38, 70/81, 42/81, 14/964

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 70/38,70/81,42/81,14/964

Given fractions are 70/38,70/81,42/81,14/964

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 70,70,42,14

Greatest Common Factor of Numerators i.e. GCF of 70,70,42,14 is 14 .

LCM of Denominators means LCM of 38,81,81,964 as per the given fractions.

LCM of 38,81,81,964 is 1483596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,70,42,14

GCF of Fractions 70/38,70/81,42/81,14/964 is 14/1483596

2 70, 70, 42, 14
7 35, 35, 21, 7
5, 5, 3, 1

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 70,70,42,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,70,42,14 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 70

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

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

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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Greatest Common Factor

We found the factors 70,70,42,14 . The biggest common factor number is the GCF number.
So the greatest common factor 70,70,42,14 is 14.

Lets's calculate LCM of 38,81,81,964

2 38, 81, 81, 964
3 19, 81, 81, 482
3 19, 27, 27, 482
3 19, 9, 9, 482
3 19, 3, 3, 482
19, 1, 1, 482

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 19 x 1 x 1 x 482 = 1483596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1483596

Therefore, the GCF of Fractions 70/38,70/81,42/81,14/964 is 14/1483596

Least Common Multiple of 38,81,81,964 with GCF Formula

Least Common Multiple of 38,81,81,964 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 38,81,81,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,81,81,964) = 1

common factors(in case of two or more numbers have common factors) = 162

GCF(38,81,81,964) x common factors =1 x 162 = 162

LCM(38,81,81,964) = ( 38 × 81 × 81 × 964 ) / 162

LCM(38,81,81,964) = 240342552 / 162

LCM(38,81,81,964) = 1483596


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 70/38, 70/81, 42/81, 14/964

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 70/38, 70/81, 42/81, 14/964?

Answer: GCF of Numerators as per given numbers 70/38, 70/81, 42/81, 14/964 is

GCF of Numerators i.e. for 70,70,42,14 is 14

LCM of denominators i.e. for 38,81,81,964 is 1483596.

Thus, GCF of Fractions is 14/1483596.Finally, GCF of Fractions for 70/38, 70/81, 42/81, 14/964 is 14/1483596.