Greatest Common Factor of 8125/700, 1478/4763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8125/700, 1478/4763

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 8125/700,1478/4763

Given fractions are 8125/700,1478/4763

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 8125,1478

Greatest Common Factor of Numerators i.e. GCF of 8125,1478 is 1 .

LCM of Denominators means LCM of 700,4763 as per the given fractions.

LCM of 700,4763 is 3334100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8125,1478

GCF of Fractions 8125/700,1478/4763 is 1/3334100

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

Greatest Common Factor of 8125,1478 By Matching Biggest Common Factor Method

Greatest Common Factor of 8125,1478 By Matching Biggest Common Factor Method

Factors of 8125

List of positive integer factors of 8125 that divides 8125 without a remainder.

1,5,13,25,65,125,325,625,1625,8125

Factors of 1478

List of positive integer factors of 1478 that divides 1478 without a remainder.

1,2,739,1478

Greatest Common Factor

We found the factors 8125,1478 . The biggest common factor number is the GCF number.
So the greatest common factor 8125,1478 is 1.

Lets's calculate LCM of 700,4763

Given numbers has no common factors except 1. So, there LCM is their product i.e 3334100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3334100

Therefore, the GCF of Fractions 8125/700,1478/4763 is 1/3334100

Least Common Multiple of 700,4763 with GCF Formula

Least Common Multiple of 700,4763 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 700,4763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,4763) = 1

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

GCF(700,4763) x common factors =1 x 1 = 1

LCM(700,4763) = ( 700 × 4763 ) / 1

LCM(700,4763) = 3334100 / 1

LCM(700,4763) = 3334100


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 8125/700, 1478/4763

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 8125/700, 1478/4763?

Answer: GCF of Numerators as per given numbers 8125/700, 1478/4763 is

GCF of Numerators i.e. for 8125,1478 is 1

LCM of denominators i.e. for 700,4763 is 3334100.

Thus, GCF of Fractions is 1/3334100.Finally, GCF of Fractions for 8125/700, 1478/4763 is 1/3334100.