Greatest Common Factor of 70/42, 54/16, 58/80, 53/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/42, 54/16, 58/80, 53/750

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 70/42,54/16,58/80,53/750

Given fractions are 70/42,54/16,58/80,53/750

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 70,54,58,53

Greatest Common Factor of Numerators i.e. GCF of 70,54,58,53 is 1 .

LCM of Denominators means LCM of 42,16,80,750 as per the given fractions.

LCM of 42,16,80,750 is 42000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,54,58,53

GCF of Fractions 70/42,54/16,58/80,53/750 is 1/42000

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

Greatest Common Factor of 70,54,58,53 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,54,58,53 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Greatest Common Factor

We found the factors 70,54,58,53 . The biggest common factor number is the GCF number.
So the greatest common factor 70,54,58,53 is 1.

Lets's calculate LCM of 42,16,80,750

2 42, 16, 80, 750
2 21, 8, 40, 375
2 21, 4, 20, 375
2 21, 2, 10, 375
3 21, 1, 5, 375
5 7, 1, 5, 125
7, 1, 1, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 7 x 1 x 1 x 25 = 42000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42000

Therefore, the GCF of Fractions 70/42,54/16,58/80,53/750 is 1/42000

Least Common Multiple of 42,16,80,750 with GCF Formula

Least Common Multiple of 42,16,80,750 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 42,16,80,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,16,80,750) = 2

common factors(in case of two or more numbers have common factors) = 480

GCF(42,16,80,750) x common factors =2 x 480 = 960

LCM(42,16,80,750) = ( 42 × 16 × 80 × 750 ) / 960

LCM(42,16,80,750) = 40320000 / 960

LCM(42,16,80,750) = 42000


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 70/42, 54/16, 58/80, 53/750

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 70/42, 54/16, 58/80, 53/750?

Answer: GCF of Numerators as per given numbers 70/42, 54/16, 58/80, 53/750 is

GCF of Numerators i.e. for 70,54,58,53 is 1

LCM of denominators i.e. for 42,16,80,750 is 42000.

Thus, GCF of Fractions is 1/42000.Finally, GCF of Fractions for 70/42, 54/16, 58/80, 53/750 is 1/42000.