Greatest Common Factor of 970/299, 1783/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 970/299, 1783/767

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 970/299,1783/767

Given fractions are 970/299,1783/767

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 970,1783

Greatest Common Factor of Numerators i.e. GCF of 970,1783 is 1 .

LCM of Denominators means LCM of 299,767 as per the given fractions.

LCM of 299,767 is 17641 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 970,1783

GCF of Fractions 970/299,1783/767 is 1/17641

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 970,1783 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,1783 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 1783

List of positive integer factors of 1783 that divides 1783 without a remainder.

1,1783

Greatest Common Factor

We found the factors 970,1783 . The biggest common factor number is the GCF number.
So the greatest common factor 970,1783 is 1.

Lets's calculate LCM of 299,767

13 299, 767
23, 59

∴ So the LCM of the given numbers is 13 x 23 x 59 = 17641

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17641

Therefore, the GCF of Fractions 970/299,1783/767 is 1/17641

Least Common Multiple of 299,767 with GCF Formula

Least Common Multiple of 299,767 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 299,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,767) = 13

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

GCF(299,767) x common factors =13 x 1 = 13

LCM(299,767) = ( 299 × 767 ) / 13

LCM(299,767) = 229333 / 13

LCM(299,767) = 17641


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 970/299, 1783/767

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 970/299, 1783/767?

Answer: GCF of Numerators as per given numbers 970/299, 1783/767 is

GCF of Numerators i.e. for 970,1783 is 1

LCM of denominators i.e. for 299,767 is 17641.

Thus, GCF of Fractions is 1/17641.Finally, GCF of Fractions for 970/299, 1783/767 is 1/17641.