Greatest Common Factor of 1547/892, 5411/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1547/892, 5411/665

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 1547/892,5411/665

Given fractions are 1547/892,5411/665

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 1547,5411

Greatest Common Factor of Numerators i.e. GCF of 1547,5411 is 7 .

LCM of Denominators means LCM of 892,665 as per the given fractions.

LCM of 892,665 is 593180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1547,5411

GCF of Fractions 1547/892,5411/665 is 7/593180

7 1547, 5411
221, 773

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1547,5411 By Matching Biggest Common Factor Method

Greatest Common Factor of 1547,5411 By Matching Biggest Common Factor Method

Factors of 1547

List of positive integer factors of 1547 that divides 1547 without a remainder.

1,7,13,17,91,119,221,1547

Factors of 5411

List of positive integer factors of 5411 that divides 5411 without a remainder.

1,7,773,5411

Greatest Common Factor

We found the factors 1547,5411 . The biggest common factor number is the GCF number.
So the greatest common factor 1547,5411 is 7.

Lets's calculate LCM of 892,665

Given numbers has no common factors except 1. So, there LCM is their product i.e 593180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/593180

Therefore, the GCF of Fractions 1547/892,5411/665 is 7/593180

Least Common Multiple of 892,665 with GCF Formula

Least Common Multiple of 892,665 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 892,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,665) = 1

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

GCF(892,665) x common factors =1 x 1 = 1

LCM(892,665) = ( 892 × 665 ) / 1

LCM(892,665) = 593180 / 1

LCM(892,665) = 593180


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 1547/892, 5411/665

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 1547/892, 5411/665?

Answer: GCF of Numerators as per given numbers 1547/892, 5411/665 is

GCF of Numerators i.e. for 1547,5411 is 7

LCM of denominators i.e. for 892,665 is 593180.

Thus, GCF of Fractions is 7/593180.Finally, GCF of Fractions for 1547/892, 5411/665 is 7/593180.