Greatest Common Factor of 7014/67, 4662/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7014/67, 4662/758

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 7014/67,4662/758

Given fractions are 7014/67,4662/758

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 7014,4662

Greatest Common Factor of Numerators i.e. GCF of 7014,4662 is 42 .

LCM of Denominators means LCM of 67,758 as per the given fractions.

LCM of 67,758 is 50786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7014,4662

GCF of Fractions 7014/67,4662/758 is 42/50786

2 7014, 4662
3 3507, 2331
7 1169, 777
167, 111

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 7014,4662 By Matching Biggest Common Factor Method

Greatest Common Factor of 7014,4662 By Matching Biggest Common Factor Method

Factors of 7014

List of positive integer factors of 7014 that divides 7014 without a remainder.

1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014

Factors of 4662

List of positive integer factors of 4662 that divides 4662 without a remainder.

1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662

Greatest Common Factor

We found the factors 7014,4662 . The biggest common factor number is the GCF number.
So the greatest common factor 7014,4662 is 42.

Lets's calculate LCM of 67,758

Given numbers has no common factors except 1. So, there LCM is their product i.e 50786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/50786

Therefore, the GCF of Fractions 7014/67,4662/758 is 42/50786

Least Common Multiple of 67,758 with GCF Formula

Least Common Multiple of 67,758 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 67,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,758) = 1

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

GCF(67,758) x common factors =1 x 1 = 1

LCM(67,758) = ( 67 × 758 ) / 1

LCM(67,758) = 50786 / 1

LCM(67,758) = 50786


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 7014/67, 4662/758

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 7014/67, 4662/758?

Answer: GCF of Numerators as per given numbers 7014/67, 4662/758 is

GCF of Numerators i.e. for 7014,4662 is 42

LCM of denominators i.e. for 67,758 is 50786.

Thus, GCF of Fractions is 42/50786.Finally, GCF of Fractions for 7014/67, 4662/758 is 42/50786.