Greatest Common Factor of 7700/608, 2870/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7700/608, 2870/889

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 7700/608,2870/889

Given fractions are 7700/608,2870/889

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 7700,2870

Greatest Common Factor of Numerators i.e. GCF of 7700,2870 is 70 .

LCM of Denominators means LCM of 608,889 as per the given fractions.

LCM of 608,889 is 540512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7700,2870

GCF of Fractions 7700/608,2870/889 is 70/540512

2 7700, 2870
5 3850, 1435
7 770, 287
110, 41

∴ So the GCF of the given numbers is 2 x 5 x 7 = 70

Greatest Common Factor of 7700,2870 By Matching Biggest Common Factor Method

Greatest Common Factor of 7700,2870 By Matching Biggest Common Factor Method

Factors of 7700

List of positive integer factors of 7700 that divides 7700 without a remainder.

1,2,4,5,7,10,11,14,20,22,25,28,35,44,50,55,70,77,100,110,140,154,175,220,275,308,350,385,550,700,770,1100,1540,1925,3850,7700

Factors of 2870

List of positive integer factors of 2870 that divides 2870 without a remainder.

1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870

Greatest Common Factor

We found the factors 7700,2870 . The biggest common factor number is the GCF number.
So the greatest common factor 7700,2870 is 70.

Lets's calculate LCM of 608,889

Given numbers has no common factors except 1. So, there LCM is their product i.e 540512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/540512

Therefore, the GCF of Fractions 7700/608,2870/889 is 70/540512

Least Common Multiple of 608,889 with GCF Formula

Least Common Multiple of 608,889 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 608,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,889) = 1

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

GCF(608,889) x common factors =1 x 1 = 1

LCM(608,889) = ( 608 × 889 ) / 1

LCM(608,889) = 540512 / 1

LCM(608,889) = 540512


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 7700/608, 2870/889

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 7700/608, 2870/889?

Answer: GCF of Numerators as per given numbers 7700/608, 2870/889 is

GCF of Numerators i.e. for 7700,2870 is 70

LCM of denominators i.e. for 608,889 is 540512.

Thus, GCF of Fractions is 70/540512.Finally, GCF of Fractions for 7700/608, 2870/889 is 70/540512.