Greatest Common Factor of 1688/478, 5278/2525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1688/478, 5278/2525

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 1688/478,5278/2525

Given fractions are 1688/478,5278/2525

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 1688,5278

Greatest Common Factor of Numerators i.e. GCF of 1688,5278 is 2 .

LCM of Denominators means LCM of 478,2525 as per the given fractions.

LCM of 478,2525 is 1206950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1688,5278

GCF of Fractions 1688/478,5278/2525 is 2/1206950

2 1688, 5278
844, 2639

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

Greatest Common Factor of 1688,5278 By Matching Biggest Common Factor Method

Greatest Common Factor of 1688,5278 By Matching Biggest Common Factor Method

Factors of 1688

List of positive integer factors of 1688 that divides 1688 without a remainder.

1,2,4,8,211,422,844,1688

Factors of 5278

List of positive integer factors of 5278 that divides 5278 without a remainder.

1,2,7,13,14,26,29,58,91,182,203,377,406,754,2639,5278

Greatest Common Factor

We found the factors 1688,5278 . The biggest common factor number is the GCF number.
So the greatest common factor 1688,5278 is 2.

Lets's calculate LCM of 478,2525

Given numbers has no common factors except 1. So, there LCM is their product i.e 1206950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1206950

Therefore, the GCF of Fractions 1688/478,5278/2525 is 2/1206950

Least Common Multiple of 478,2525 with GCF Formula

Least Common Multiple of 478,2525 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 478,2525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,2525) = 1

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

GCF(478,2525) x common factors =1 x 1 = 1

LCM(478,2525) = ( 478 × 2525 ) / 1

LCM(478,2525) = 1206950 / 1

LCM(478,2525) = 1206950


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 1688/478, 5278/2525

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 1688/478, 5278/2525?

Answer: GCF of Numerators as per given numbers 1688/478, 5278/2525 is

GCF of Numerators i.e. for 1688,5278 is 2

LCM of denominators i.e. for 478,2525 is 1206950.

Thus, GCF of Fractions is 2/1206950.Finally, GCF of Fractions for 1688/478, 5278/2525 is 2/1206950.