Greatest Common Factor of 2122/850, 8128/6890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2122/850, 8128/6890

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 2122/850,8128/6890

Given fractions are 2122/850,8128/6890

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 2122,8128

Greatest Common Factor of Numerators i.e. GCF of 2122,8128 is 2 .

LCM of Denominators means LCM of 850,6890 as per the given fractions.

LCM of 850,6890 is 585650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2122,8128

GCF of Fractions 2122/850,8128/6890 is 2/585650

2 2122, 8128
1061, 4064

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2122,8128 By Matching Biggest Common Factor Method

Greatest Common Factor of 2122,8128 By Matching Biggest Common Factor Method

Factors of 2122

List of positive integer factors of 2122 that divides 2122 without a remainder.

1,2,1061,2122

Factors of 8128

List of positive integer factors of 8128 that divides 8128 without a remainder.

1,2,4,8,16,32,64,127,254,508,1016,2032,4064,8128

Greatest Common Factor

We found the factors 2122,8128 . The biggest common factor number is the GCF number.
So the greatest common factor 2122,8128 is 2.

Lets's calculate LCM of 850,6890

2 850, 6890
5 425, 3445
85, 689

∴ So the LCM of the given numbers is 2 x 5 x 85 x 689 = 585650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/585650

Therefore, the GCF of Fractions 2122/850,8128/6890 is 2/585650

Least Common Multiple of 850,6890 with GCF Formula

Least Common Multiple of 850,6890 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 850,6890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,6890) = 10

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

GCF(850,6890) x common factors =10 x 1 = 10

LCM(850,6890) = ( 850 × 6890 ) / 10

LCM(850,6890) = 5856500 / 10

LCM(850,6890) = 585650


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 2122/850, 8128/6890

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 2122/850, 8128/6890?

Answer: GCF of Numerators as per given numbers 2122/850, 8128/6890 is

GCF of Numerators i.e. for 2122,8128 is 2

LCM of denominators i.e. for 850,6890 is 585650.

Thus, GCF of Fractions is 2/585650.Finally, GCF of Fractions for 2122/850, 8128/6890 is 2/585650.