Greatest Common Factor of 3970/14, 1202/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3970/14, 1202/995

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 3970/14,1202/995

Given fractions are 3970/14,1202/995

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 3970,1202

Greatest Common Factor of Numerators i.e. GCF of 3970,1202 is 2 .

LCM of Denominators means LCM of 14,995 as per the given fractions.

LCM of 14,995 is 13930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3970,1202

GCF of Fractions 3970/14,1202/995 is 2/13930

2 3970, 1202
1985, 601

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

Greatest Common Factor of 3970,1202 By Matching Biggest Common Factor Method

Greatest Common Factor of 3970,1202 By Matching Biggest Common Factor Method

Factors of 3970

List of positive integer factors of 3970 that divides 3970 without a remainder.

1,2,5,10,397,794,1985,3970

Factors of 1202

List of positive integer factors of 1202 that divides 1202 without a remainder.

1,2,601,1202

Greatest Common Factor

We found the factors 3970,1202 . The biggest common factor number is the GCF number.
So the greatest common factor 3970,1202 is 2.

Lets's calculate LCM of 14,995

Given numbers has no common factors except 1. So, there LCM is their product i.e 13930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13930

Therefore, the GCF of Fractions 3970/14,1202/995 is 2/13930

Least Common Multiple of 14,995 with GCF Formula

Least Common Multiple of 14,995 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 14,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,995) = 1

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

GCF(14,995) x common factors =1 x 1 = 1

LCM(14,995) = ( 14 × 995 ) / 1

LCM(14,995) = 13930 / 1

LCM(14,995) = 13930


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 3970/14, 1202/995

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 3970/14, 1202/995?

Answer: GCF of Numerators as per given numbers 3970/14, 1202/995 is

GCF of Numerators i.e. for 3970,1202 is 2

LCM of denominators i.e. for 14,995 is 13930.

Thus, GCF of Fractions is 2/13930.Finally, GCF of Fractions for 3970/14, 1202/995 is 2/13930.