Greatest Common Factor of 35/77, 98/15, 25/20, 38/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/77, 98/15, 25/20, 38/430

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 35/77,98/15,25/20,38/430

Given fractions are 35/77,98/15,25/20,38/430

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 35,98,25,38

Greatest Common Factor of Numerators i.e. GCF of 35,98,25,38 is 1 .

LCM of Denominators means LCM of 77,15,20,430 as per the given fractions.

LCM of 77,15,20,430 is 198660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,98,25,38

GCF of Fractions 35/77,98/15,25/20,38/430 is 1/198660

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

Greatest Common Factor of 35,98,25,38 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,98,25,38 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Greatest Common Factor

We found the factors 35,98,25,38 . The biggest common factor number is the GCF number.
So the greatest common factor 35,98,25,38 is 1.

Lets's calculate LCM of 77,15,20,430

2 77, 15, 20, 430
5 77, 15, 10, 215
77, 3, 2, 43

∴ So the LCM of the given numbers is 2 x 5 x 77 x 3 x 2 x 43 = 198660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198660

Therefore, the GCF of Fractions 35/77,98/15,25/20,38/430 is 1/198660

Least Common Multiple of 77,15,20,430 with GCF Formula

Least Common Multiple of 77,15,20,430 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 77,15,20,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,15,20,430) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(77,15,20,430) x common factors =1 x 50 = 50

LCM(77,15,20,430) = ( 77 × 15 × 20 × 430 ) / 50

LCM(77,15,20,430) = 9933000 / 50

LCM(77,15,20,430) = 198660


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 35/77, 98/15, 25/20, 38/430

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 35/77, 98/15, 25/20, 38/430?

Answer: GCF of Numerators as per given numbers 35/77, 98/15, 25/20, 38/430 is

GCF of Numerators i.e. for 35,98,25,38 is 1

LCM of denominators i.e. for 77,15,20,430 is 198660.

Thus, GCF of Fractions is 1/198660.Finally, GCF of Fractions for 35/77, 98/15, 25/20, 38/430 is 1/198660.