Greatest Common Factor of 1664/27, 7612/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1664/27, 7612/683

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 1664/27,7612/683

Given fractions are 1664/27,7612/683

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 1664,7612

Greatest Common Factor of Numerators i.e. GCF of 1664,7612 is 4 .

LCM of Denominators means LCM of 27,683 as per the given fractions.

LCM of 27,683 is 18441 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1664,7612

GCF of Fractions 1664/27,7612/683 is 4/18441

2 1664, 7612
2 832, 3806
416, 1903

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1664,7612 By Matching Biggest Common Factor Method

Greatest Common Factor of 1664,7612 By Matching Biggest Common Factor Method

Factors of 1664

List of positive integer factors of 1664 that divides 1664 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664

Factors of 7612

List of positive integer factors of 7612 that divides 7612 without a remainder.

1,2,4,11,22,44,173,346,692,1903,3806,7612

Greatest Common Factor

We found the factors 1664,7612 . The biggest common factor number is the GCF number.
So the greatest common factor 1664,7612 is 4.

Lets's calculate LCM of 27,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 18441

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/18441

Therefore, the GCF of Fractions 1664/27,7612/683 is 4/18441

Least Common Multiple of 27,683 with GCF Formula

Least Common Multiple of 27,683 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 27,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,683) = 1

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

GCF(27,683) x common factors =1 x 1 = 1

LCM(27,683) = ( 27 × 683 ) / 1

LCM(27,683) = 18441 / 1

LCM(27,683) = 18441


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 1664/27, 7612/683

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 1664/27, 7612/683?

Answer: GCF of Numerators as per given numbers 1664/27, 7612/683 is

GCF of Numerators i.e. for 1664,7612 is 4

LCM of denominators i.e. for 27,683 is 18441.

Thus, GCF of Fractions is 4/18441.Finally, GCF of Fractions for 1664/27, 7612/683 is 4/18441.