Greatest Common Factor of 1700/657, 7555/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1700/657, 7555/238

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 1700/657,7555/238

Given fractions are 1700/657,7555/238

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 1700,7555

Greatest Common Factor of Numerators i.e. GCF of 1700,7555 is 5 .

LCM of Denominators means LCM of 657,238 as per the given fractions.

LCM of 657,238 is 156366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1700,7555

GCF of Fractions 1700/657,7555/238 is 5/156366

5 1700, 7555
340, 1511

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1700,7555 By Matching Biggest Common Factor Method

Greatest Common Factor of 1700,7555 By Matching Biggest Common Factor Method

Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700

Factors of 7555

List of positive integer factors of 7555 that divides 7555 without a remainder.

1,5,1511,7555

Greatest Common Factor

We found the factors 1700,7555 . The biggest common factor number is the GCF number.
So the greatest common factor 1700,7555 is 5.

Lets's calculate LCM of 657,238

Given numbers has no common factors except 1. So, there LCM is their product i.e 156366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/156366

Therefore, the GCF of Fractions 1700/657,7555/238 is 5/156366

Least Common Multiple of 657,238 with GCF Formula

Least Common Multiple of 657,238 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 657,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,238) = 1

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

GCF(657,238) x common factors =1 x 1 = 1

LCM(657,238) = ( 657 × 238 ) / 1

LCM(657,238) = 156366 / 1

LCM(657,238) = 156366


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 1700/657, 7555/238

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 1700/657, 7555/238?

Answer: GCF of Numerators as per given numbers 1700/657, 7555/238 is

GCF of Numerators i.e. for 1700,7555 is 5

LCM of denominators i.e. for 657,238 is 156366.

Thus, GCF of Fractions is 5/156366.Finally, GCF of Fractions for 1700/657, 7555/238 is 5/156366.