Greatest Common Factor of 475/686, 7000/6819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/686, 7000/6819

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 475/686,7000/6819

Given fractions are 475/686,7000/6819

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 475,7000

Greatest Common Factor of Numerators i.e. GCF of 475,7000 is 25 .

LCM of Denominators means LCM of 686,6819 as per the given fractions.

LCM of 686,6819 is 4677834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,7000

GCF of Fractions 475/686,7000/6819 is 25/4677834

5 475, 7000
5 95, 1400
19, 280

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 475,7000 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,7000 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 7000

List of positive integer factors of 7000 that divides 7000 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000

Greatest Common Factor

We found the factors 475,7000 . The biggest common factor number is the GCF number.
So the greatest common factor 475,7000 is 25.

Lets's calculate LCM of 686,6819

Given numbers has no common factors except 1. So, there LCM is their product i.e 4677834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/4677834

Therefore, the GCF of Fractions 475/686,7000/6819 is 25/4677834

Least Common Multiple of 686,6819 with GCF Formula

Least Common Multiple of 686,6819 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 686,6819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,6819) = 1

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

GCF(686,6819) x common factors =1 x 1 = 1

LCM(686,6819) = ( 686 × 6819 ) / 1

LCM(686,6819) = 4677834 / 1

LCM(686,6819) = 4677834


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 475/686, 7000/6819

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 475/686, 7000/6819?

Answer: GCF of Numerators as per given numbers 475/686, 7000/6819 is

GCF of Numerators i.e. for 475,7000 is 25

LCM of denominators i.e. for 686,6819 is 4677834.

Thus, GCF of Fractions is 25/4677834.Finally, GCF of Fractions for 475/686, 7000/6819 is 25/4677834.