Greatest Common Factor of 682/630, 1936/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 682/630, 1936/790

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 682/630,1936/790

Given fractions are 682/630,1936/790

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 682,1936

Greatest Common Factor of Numerators i.e. GCF of 682,1936 is 22 .

LCM of Denominators means LCM of 630,790 as per the given fractions.

LCM of 630,790 is 49770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 682,1936

GCF of Fractions 682/630,1936/790 is 22/49770

2 682, 1936
11 341, 968
31, 88

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 682,1936 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,1936 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1,2,4,8,11,16,22,44,88,121,176,242,484,968,1936

Greatest Common Factor

We found the factors 682,1936 . The biggest common factor number is the GCF number.
So the greatest common factor 682,1936 is 22.

Lets's calculate LCM of 630,790

2 630, 790
5 315, 395
63, 79

∴ So the LCM of the given numbers is 2 x 5 x 63 x 79 = 49770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/49770

Therefore, the GCF of Fractions 682/630,1936/790 is 22/49770

Least Common Multiple of 630,790 with GCF Formula

Least Common Multiple of 630,790 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 630,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,790) = 10

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

GCF(630,790) x common factors =10 x 1 = 10

LCM(630,790) = ( 630 × 790 ) / 10

LCM(630,790) = 497700 / 10

LCM(630,790) = 49770


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 682/630, 1936/790

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 682/630, 1936/790?

Answer: GCF of Numerators as per given numbers 682/630, 1936/790 is

GCF of Numerators i.e. for 682,1936 is 22

LCM of denominators i.e. for 630,790 is 49770.

Thus, GCF of Fractions is 22/49770.Finally, GCF of Fractions for 682/630, 1936/790 is 22/49770.