Greatest Common Factor of 674/643, 815/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 674/643, 815/750

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 674/643,815/750

Given fractions are 674/643,815/750

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 674,815

Greatest Common Factor of Numerators i.e. GCF of 674,815 is 1 .

LCM of Denominators means LCM of 643,750 as per the given fractions.

LCM of 643,750 is 482250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 674,815

GCF of Fractions 674/643,815/750 is 1/482250

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

Greatest Common Factor of 674,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,815 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 674,815 . The biggest common factor number is the GCF number.
So the greatest common factor 674,815 is 1.

Lets's calculate LCM of 643,750

Given numbers has no common factors except 1. So, there LCM is their product i.e 482250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/482250

Therefore, the GCF of Fractions 674/643,815/750 is 1/482250

Least Common Multiple of 643,750 with GCF Formula

Least Common Multiple of 643,750 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 643,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,750) = 1

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

GCF(643,750) x common factors =1 x 1 = 1

LCM(643,750) = ( 643 × 750 ) / 1

LCM(643,750) = 482250 / 1

LCM(643,750) = 482250


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 674/643, 815/750

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 674/643, 815/750?

Answer: GCF of Numerators as per given numbers 674/643, 815/750 is

GCF of Numerators i.e. for 674,815 is 1

LCM of denominators i.e. for 643,750 is 482250.

Thus, GCF of Fractions is 1/482250.Finally, GCF of Fractions for 674/643, 815/750 is 1/482250.