Greatest Common Factor of 835/800, 7770/1974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 835/800, 7770/1974

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 835/800,7770/1974

Given fractions are 835/800,7770/1974

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 835,7770

Greatest Common Factor of Numerators i.e. GCF of 835,7770 is 5 .

LCM of Denominators means LCM of 800,1974 as per the given fractions.

LCM of 800,1974 is 789600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 835,7770

GCF of Fractions 835/800,7770/1974 is 5/789600

5 835, 7770
167, 1554

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 835,7770 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,7770 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 7770

List of positive integer factors of 7770 that divides 7770 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770

Greatest Common Factor

We found the factors 835,7770 . The biggest common factor number is the GCF number.
So the greatest common factor 835,7770 is 5.

Lets's calculate LCM of 800,1974

2 800, 1974
400, 987

∴ So the LCM of the given numbers is 2 x 400 x 987 = 789600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/789600

Therefore, the GCF of Fractions 835/800,7770/1974 is 5/789600

Least Common Multiple of 800,1974 with GCF Formula

Least Common Multiple of 800,1974 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 800,1974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,1974) = 2

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

GCF(800,1974) x common factors =2 x 1 = 2

LCM(800,1974) = ( 800 × 1974 ) / 2

LCM(800,1974) = 1579200 / 2

LCM(800,1974) = 789600


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 835/800, 7770/1974

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 835/800, 7770/1974?

Answer: GCF of Numerators as per given numbers 835/800, 7770/1974 is

GCF of Numerators i.e. for 835,7770 is 5

LCM of denominators i.e. for 800,1974 is 789600.

Thus, GCF of Fractions is 5/789600.Finally, GCF of Fractions for 835/800, 7770/1974 is 5/789600.