Greatest Common Factor of 9940/769, 3010/1614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9940/769, 3010/1614

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 9940/769,3010/1614

Given fractions are 9940/769,3010/1614

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 9940,3010

Greatest Common Factor of Numerators i.e. GCF of 9940,3010 is 70 .

LCM of Denominators means LCM of 769,1614 as per the given fractions.

LCM of 769,1614 is 1241166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9940,3010

GCF of Fractions 9940/769,3010/1614 is 70/1241166

2 9940, 3010
5 4970, 1505
7 994, 301
142, 43

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

Greatest Common Factor of 9940,3010 By Matching Biggest Common Factor Method

Greatest Common Factor of 9940,3010 By Matching Biggest Common Factor Method

Factors of 9940

List of positive integer factors of 9940 that divides 9940 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940

Factors of 3010

List of positive integer factors of 3010 that divides 3010 without a remainder.

1,2,5,7,10,14,35,43,70,86,215,301,430,602,1505,3010

Greatest Common Factor

We found the factors 9940,3010 . The biggest common factor number is the GCF number.
So the greatest common factor 9940,3010 is 70.

Lets's calculate LCM of 769,1614

Given numbers has no common factors except 1. So, there LCM is their product i.e 1241166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/1241166

Therefore, the GCF of Fractions 9940/769,3010/1614 is 70/1241166

Least Common Multiple of 769,1614 with GCF Formula

Least Common Multiple of 769,1614 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 769,1614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,1614) = 1

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

GCF(769,1614) x common factors =1 x 1 = 1

LCM(769,1614) = ( 769 × 1614 ) / 1

LCM(769,1614) = 1241166 / 1

LCM(769,1614) = 1241166


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 9940/769, 3010/1614

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 9940/769, 3010/1614?

Answer: GCF of Numerators as per given numbers 9940/769, 3010/1614 is

GCF of Numerators i.e. for 9940,3010 is 70

LCM of denominators i.e. for 769,1614 is 1241166.

Thus, GCF of Fractions is 70/1241166.Finally, GCF of Fractions for 9940/769, 3010/1614 is 70/1241166.