Greatest Common Factor of 7790/371, 4900/9283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7790/371, 4900/9283

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 7790/371,4900/9283

Given fractions are 7790/371,4900/9283

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 7790,4900

Greatest Common Factor of Numerators i.e. GCF of 7790,4900 is 10 .

LCM of Denominators means LCM of 371,9283 as per the given fractions.

LCM of 371,9283 is 3443993 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7790,4900

GCF of Fractions 7790/371,4900/9283 is 10/3443993

2 7790, 4900
5 3895, 2450
779, 490

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7790,4900 By Matching Biggest Common Factor Method

Greatest Common Factor of 7790,4900 By Matching Biggest Common Factor Method

Factors of 7790

List of positive integer factors of 7790 that divides 7790 without a remainder.

1,2,5,10,19,38,41,82,95,190,205,410,779,1558,3895,7790

Factors of 4900

List of positive integer factors of 4900 that divides 4900 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900

Greatest Common Factor

We found the factors 7790,4900 . The biggest common factor number is the GCF number.
So the greatest common factor 7790,4900 is 10.

Lets's calculate LCM of 371,9283

Given numbers has no common factors except 1. So, there LCM is their product i.e 3443993

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3443993

Therefore, the GCF of Fractions 7790/371,4900/9283 is 10/3443993

Least Common Multiple of 371,9283 with GCF Formula

Least Common Multiple of 371,9283 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 371,9283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,9283) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(371,9283) x common factors =1 x 1 = 1

LCM(371,9283) = ( 371 × 9283 ) / 1

LCM(371,9283) = 3443993 / 1

LCM(371,9283) = 3443993


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 7790/371, 4900/9283

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 7790/371, 4900/9283?

Answer: GCF of Numerators as per given numbers 7790/371, 4900/9283 is

GCF of Numerators i.e. for 7790,4900 is 10

LCM of denominators i.e. for 371,9283 is 3443993.

Thus, GCF of Fractions is 10/3443993.Finally, GCF of Fractions for 7790/371, 4900/9283 is 10/3443993.