Greatest Common Factor of 667/103, 4698/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 667/103, 4698/415

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 667/103,4698/415

Given fractions are 667/103,4698/415

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 667,4698

Greatest Common Factor of Numerators i.e. GCF of 667,4698 is 29 .

LCM of Denominators means LCM of 103,415 as per the given fractions.

LCM of 103,415 is 42745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 667,4698

GCF of Fractions 667/103,4698/415 is 29/42745

29 667, 4698
23, 162

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 667,4698 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,4698 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 4698

List of positive integer factors of 4698 that divides 4698 without a remainder.

1,2,3,6,9,18,27,29,54,58,81,87,162,174,261,522,783,1566,2349,4698

Greatest Common Factor

We found the factors 667,4698 . The biggest common factor number is the GCF number.
So the greatest common factor 667,4698 is 29.

Lets's calculate LCM of 103,415

Given numbers has no common factors except 1. So, there LCM is their product i.e 42745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/42745

Therefore, the GCF of Fractions 667/103,4698/415 is 29/42745

Least Common Multiple of 103,415 with GCF Formula

Least Common Multiple of 103,415 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 103,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,415) = 1

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

GCF(103,415) x common factors =1 x 1 = 1

LCM(103,415) = ( 103 × 415 ) / 1

LCM(103,415) = 42745 / 1

LCM(103,415) = 42745


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 667/103, 4698/415

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 667/103, 4698/415?

Answer: GCF of Numerators as per given numbers 667/103, 4698/415 is

GCF of Numerators i.e. for 667,4698 is 29

LCM of denominators i.e. for 103,415 is 42745.

Thus, GCF of Fractions is 29/42745.Finally, GCF of Fractions for 667/103, 4698/415 is 29/42745.