Greatest Common Factor of 4018/962, 1197/7914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4018/962, 1197/7914

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 4018/962,1197/7914

Given fractions are 4018/962,1197/7914

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 4018,1197

Greatest Common Factor of Numerators i.e. GCF of 4018,1197 is 7 .

LCM of Denominators means LCM of 962,7914 as per the given fractions.

LCM of 962,7914 is 3806634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4018,1197

GCF of Fractions 4018/962,1197/7914 is 7/3806634

7 4018, 1197
574, 171

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4018,1197 By Matching Biggest Common Factor Method

Greatest Common Factor of 4018,1197 By Matching Biggest Common Factor Method

Factors of 4018

List of positive integer factors of 4018 that divides 4018 without a remainder.

1,2,7,14,41,49,82,98,287,574,2009,4018

Factors of 1197

List of positive integer factors of 1197 that divides 1197 without a remainder.

1,3,7,9,19,21,57,63,133,171,399,1197

Greatest Common Factor

We found the factors 4018,1197 . The biggest common factor number is the GCF number.
So the greatest common factor 4018,1197 is 7.

Lets's calculate LCM of 962,7914

2 962, 7914
481, 3957

∴ So the LCM of the given numbers is 2 x 481 x 3957 = 3806634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3806634

Therefore, the GCF of Fractions 4018/962,1197/7914 is 7/3806634

Least Common Multiple of 962,7914 with GCF Formula

Least Common Multiple of 962,7914 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 962,7914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,7914) = 2

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

GCF(962,7914) x common factors =2 x 1 = 2

LCM(962,7914) = ( 962 × 7914 ) / 2

LCM(962,7914) = 7613268 / 2

LCM(962,7914) = 3806634


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 4018/962, 1197/7914

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 4018/962, 1197/7914?

Answer: GCF of Numerators as per given numbers 4018/962, 1197/7914 is

GCF of Numerators i.e. for 4018,1197 is 7

LCM of denominators i.e. for 962,7914 is 3806634.

Thus, GCF of Fractions is 7/3806634.Finally, GCF of Fractions for 4018/962, 1197/7914 is 7/3806634.