Greatest Common Factor of 1687/76, 1085/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1687/76, 1085/325

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 1687/76,1085/325

Given fractions are 1687/76,1085/325

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 1687,1085

Greatest Common Factor of Numerators i.e. GCF of 1687,1085 is 7 .

LCM of Denominators means LCM of 76,325 as per the given fractions.

LCM of 76,325 is 24700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1687,1085

GCF of Fractions 1687/76,1085/325 is 7/24700

7 1687, 1085
241, 155

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1687,1085 By Matching Biggest Common Factor Method

Greatest Common Factor of 1687,1085 By Matching Biggest Common Factor Method

Factors of 1687

List of positive integer factors of 1687 that divides 1687 without a remainder.

1,7,241,1687

Factors of 1085

List of positive integer factors of 1085 that divides 1085 without a remainder.

1,5,7,31,35,155,217,1085

Greatest Common Factor

We found the factors 1687,1085 . The biggest common factor number is the GCF number.
So the greatest common factor 1687,1085 is 7.

Lets's calculate LCM of 76,325

Given numbers has no common factors except 1. So, there LCM is their product i.e 24700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/24700

Therefore, the GCF of Fractions 1687/76,1085/325 is 7/24700

Least Common Multiple of 76,325 with GCF Formula

Least Common Multiple of 76,325 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 76,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,325) = 1

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

GCF(76,325) x common factors =1 x 1 = 1

LCM(76,325) = ( 76 × 325 ) / 1

LCM(76,325) = 24700 / 1

LCM(76,325) = 24700


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 1687/76, 1085/325

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 1687/76, 1085/325?

Answer: GCF of Numerators as per given numbers 1687/76, 1085/325 is

GCF of Numerators i.e. for 1687,1085 is 7

LCM of denominators i.e. for 76,325 is 24700.

Thus, GCF of Fractions is 7/24700.Finally, GCF of Fractions for 1687/76, 1085/325 is 7/24700.