Greatest Common Factor of 1051/223, 6000/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1051/223, 6000/661

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 1051/223,6000/661

Given fractions are 1051/223,6000/661

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 1051,6000

Greatest Common Factor of Numerators i.e. GCF of 1051,6000 is 1 .

LCM of Denominators means LCM of 223,661 as per the given fractions.

LCM of 223,661 is 147403 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1051,6000

GCF of Fractions 1051/223,6000/661 is 1/147403

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

Greatest Common Factor of 1051,6000 By Matching Biggest Common Factor Method

Greatest Common Factor of 1051,6000 By Matching Biggest Common Factor Method

Factors of 1051

List of positive integer factors of 1051 that divides 1051 without a remainder.

1,1051

Factors of 6000

List of positive integer factors of 6000 that divides 6000 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,750,1000,1200,1500,2000,3000,6000

Greatest Common Factor

We found the factors 1051,6000 . The biggest common factor number is the GCF number.
So the greatest common factor 1051,6000 is 1.

Lets's calculate LCM of 223,661

Given numbers has no common factors except 1. So, there LCM is their product i.e 147403

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147403

Therefore, the GCF of Fractions 1051/223,6000/661 is 1/147403

Least Common Multiple of 223,661 with GCF Formula

Least Common Multiple of 223,661 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 223,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,661) = 1

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

GCF(223,661) x common factors =1 x 1 = 1

LCM(223,661) = ( 223 × 661 ) / 1

LCM(223,661) = 147403 / 1

LCM(223,661) = 147403


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 1051/223, 6000/661

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 1051/223, 6000/661?

Answer: GCF of Numerators as per given numbers 1051/223, 6000/661 is

GCF of Numerators i.e. for 1051,6000 is 1

LCM of denominators i.e. for 223,661 is 147403.

Thus, GCF of Fractions is 1/147403.Finally, GCF of Fractions for 1051/223, 6000/661 is 1/147403.