Greatest Common Factor of 7000/364, 7667/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7000/364, 7667/705

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 7000/364,7667/705

Given fractions are 7000/364,7667/705

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 7000,7667

Greatest Common Factor of Numerators i.e. GCF of 7000,7667 is 1 .

LCM of Denominators means LCM of 364,705 as per the given fractions.

LCM of 364,705 is 256620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7000,7667

GCF of Fractions 7000/364,7667/705 is 1/256620

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

Greatest Common Factor of 7000,7667 By Matching Biggest Common Factor Method

Greatest Common Factor of 7000,7667 By Matching Biggest Common Factor Method

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

Factors of 7667

List of positive integer factors of 7667 that divides 7667 without a remainder.

1,11,17,41,187,451,697,7667

Greatest Common Factor

We found the factors 7000,7667 . The biggest common factor number is the GCF number.
So the greatest common factor 7000,7667 is 1.

Lets's calculate LCM of 364,705

Given numbers has no common factors except 1. So, there LCM is their product i.e 256620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256620

Therefore, the GCF of Fractions 7000/364,7667/705 is 1/256620

Least Common Multiple of 364,705 with GCF Formula

Least Common Multiple of 364,705 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 364,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,705) = 1

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

GCF(364,705) x common factors =1 x 1 = 1

LCM(364,705) = ( 364 × 705 ) / 1

LCM(364,705) = 256620 / 1

LCM(364,705) = 256620


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 7000/364, 7667/705

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 7000/364, 7667/705?

Answer: GCF of Numerators as per given numbers 7000/364, 7667/705 is

GCF of Numerators i.e. for 7000,7667 is 1

LCM of denominators i.e. for 364,705 is 256620.

Thus, GCF of Fractions is 1/256620.Finally, GCF of Fractions for 7000/364, 7667/705 is 1/256620.