Greatest Common Factor of 87/439, 817/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 87/439, 817/750

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 87/439,817/750

Given fractions are 87/439,817/750

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 87,817

Greatest Common Factor of Numerators i.e. GCF of 87,817 is 1 .

LCM of Denominators means LCM of 439,750 as per the given fractions.

LCM of 439,750 is 329250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,817

GCF of Fractions 87/439,817/750 is 1/329250

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 87,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,817 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 87,817 . The biggest common factor number is the GCF number.
So the greatest common factor 87,817 is 1.


Lets's calculate LCM of 439,750

Given numbers has no common factors except 1. So, there LCM is their product i.e 329250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329250

Therefore, the GCF of Fractions 87/439,817/750 is 1/329250

Least Common Multiple of 439,750 with GCF Formula

Least Common Multiple of 439,750 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 439,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,750) = 1

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

GCF(439,750) x common factors =1 x 1 = 1

LCM(439,750) = ( 439 × 750 ) / 1

LCM(439,750) = 329250 / 1

LCM(439,750) = 329250


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 87/439, 817/750

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 87/439, 817/750?

Answer: GCF of Numerators as per given numbers 87/439, 817/750 is

GCF of Numerators i.e. for 87,817 is 1

LCM of denominators i.e. for 439,750 is 329250.

Thus, GCF of Fractions is 1/329250.Finally, GCF of Fractions for 87/439, 817/750 is 1/329250.