Greatest Common Factor of 70/30, 10/38, 40/95, 51/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/30, 10/38, 40/95, 51/505

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 70/30,10/38,40/95,51/505

Given fractions are 70/30,10/38,40/95,51/505

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 70,10,40,51

Greatest Common Factor of Numerators i.e. GCF of 70,10,40,51 is 1 .

LCM of Denominators means LCM of 30,38,95,505 as per the given fractions.

LCM of 30,38,95,505 is 57570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,10,40,51

GCF of Fractions 70/30,10/38,40/95,51/505 is 1/57570

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

Greatest Common Factor of 70,10,40,51 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,10,40,51 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 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Greatest Common Factor

We found the factors 70,10,40,51 . The biggest common factor number is the GCF number.
So the greatest common factor 70,10,40,51 is 1.

Lets's calculate LCM of 30,38,95,505

2 30, 38, 95, 505
5 15, 19, 95, 505
19 3, 19, 19, 101
3, 1, 1, 101

∴ So the LCM of the given numbers is 2 x 5 x 19 x 3 x 1 x 1 x 101 = 57570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57570

Therefore, the GCF of Fractions 70/30,10/38,40/95,51/505 is 1/57570

Least Common Multiple of 30,38,95,505 with GCF Formula

Least Common Multiple of 30,38,95,505 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 30,38,95,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,38,95,505) = 1

common factors(in case of two or more numbers have common factors) = 950

GCF(30,38,95,505) x common factors =1 x 950 = 950

LCM(30,38,95,505) = ( 30 × 38 × 95 × 505 ) / 950

LCM(30,38,95,505) = 54691500 / 950

LCM(30,38,95,505) = 57570


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 70/30, 10/38, 40/95, 51/505

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 70/30, 10/38, 40/95, 51/505?

Answer: GCF of Numerators as per given numbers 70/30, 10/38, 40/95, 51/505 is

GCF of Numerators i.e. for 70,10,40,51 is 1

LCM of denominators i.e. for 30,38,95,505 is 57570.

Thus, GCF of Fractions is 1/57570.Finally, GCF of Fractions for 70/30, 10/38, 40/95, 51/505 is 1/57570.