Greatest Common Factor of 6770/22, 8120/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6770/22, 8120/383

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 6770/22,8120/383

Given fractions are 6770/22,8120/383

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 6770,8120

Greatest Common Factor of Numerators i.e. GCF of 6770,8120 is 10 .

LCM of Denominators means LCM of 22,383 as per the given fractions.

LCM of 22,383 is 8426 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6770,8120

GCF of Fractions 6770/22,8120/383 is 10/8426

2 6770, 8120
5 3385, 4060
677, 812

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

Greatest Common Factor of 6770,8120 By Matching Biggest Common Factor Method

Greatest Common Factor of 6770,8120 By Matching Biggest Common Factor Method

Factors of 6770

List of positive integer factors of 6770 that divides 6770 without a remainder.

1,2,5,10,677,1354,3385,6770

Factors of 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120

Greatest Common Factor

We found the factors 6770,8120 . The biggest common factor number is the GCF number.
So the greatest common factor 6770,8120 is 10.

Lets's calculate LCM of 22,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 8426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/8426

Therefore, the GCF of Fractions 6770/22,8120/383 is 10/8426

Least Common Multiple of 22,383 with GCF Formula

Least Common Multiple of 22,383 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 22,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,383) = 1

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

GCF(22,383) x common factors =1 x 1 = 1

LCM(22,383) = ( 22 × 383 ) / 1

LCM(22,383) = 8426 / 1

LCM(22,383) = 8426


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 6770/22, 8120/383

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 6770/22, 8120/383?

Answer: GCF of Numerators as per given numbers 6770/22, 8120/383 is

GCF of Numerators i.e. for 6770,8120 is 10

LCM of denominators i.e. for 22,383 is 8426.

Thus, GCF of Fractions is 10/8426.Finally, GCF of Fractions for 6770/22, 8120/383 is 10/8426.