Greatest Common Factor of 77/38, 98/56, 31/91, 14/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/38, 98/56, 31/91, 14/390

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 77/38,98/56,31/91,14/390

Given fractions are 77/38,98/56,31/91,14/390

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 77,98,31,14

Greatest Common Factor of Numerators i.e. GCF of 77,98,31,14 is 1 .

LCM of Denominators means LCM of 38,56,91,390 as per the given fractions.

LCM of 38,56,91,390 is 207480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,98,31,14

GCF of Fractions 77/38,98/56,31/91,14/390 is 1/207480

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

Greatest Common Factor of 77,98,31,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,98,31,14 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 98

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

1,2,7,14,49,98

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

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 77,98,31,14 . The biggest common factor number is the GCF number.
So the greatest common factor 77,98,31,14 is 1.

Lets's calculate LCM of 38,56,91,390

2 38, 56, 91, 390
7 19, 28, 91, 195
13 19, 4, 13, 195
19, 4, 1, 15

∴ So the LCM of the given numbers is 2 x 7 x 13 x 19 x 4 x 1 x 15 = 207480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207480

Therefore, the GCF of Fractions 77/38,98/56,31/91,14/390 is 1/207480

Least Common Multiple of 38,56,91,390 with GCF Formula

Least Common Multiple of 38,56,91,390 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 38,56,91,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,56,91,390) = 1

common factors(in case of two or more numbers have common factors) = 364

GCF(38,56,91,390) x common factors =1 x 364 = 364

LCM(38,56,91,390) = ( 38 × 56 × 91 × 390 ) / 364

LCM(38,56,91,390) = 75522720 / 364

LCM(38,56,91,390) = 207480


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 77/38, 98/56, 31/91, 14/390

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 77/38, 98/56, 31/91, 14/390?

Answer: GCF of Numerators as per given numbers 77/38, 98/56, 31/91, 14/390 is

GCF of Numerators i.e. for 77,98,31,14 is 1

LCM of denominators i.e. for 38,56,91,390 is 207480.

Thus, GCF of Fractions is 1/207480.Finally, GCF of Fractions for 77/38, 98/56, 31/91, 14/390 is 1/207480.