Greatest Common Factor of 1561/224, 1921/6809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1561/224, 1921/6809

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 1561/224,1921/6809

Given fractions are 1561/224,1921/6809

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 1561,1921

Greatest Common Factor of Numerators i.e. GCF of 1561,1921 is 1 .

LCM of Denominators means LCM of 224,6809 as per the given fractions.

LCM of 224,6809 is 1525216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1561,1921

GCF of Fractions 1561/224,1921/6809 is 1/1525216

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

Greatest Common Factor of 1561,1921 By Matching Biggest Common Factor Method

Greatest Common Factor of 1561,1921 By Matching Biggest Common Factor Method

Factors of 1561

List of positive integer factors of 1561 that divides 1561 without a remainder.

1,7,223,1561

Factors of 1921

List of positive integer factors of 1921 that divides 1921 without a remainder.

1,17,113,1921

Greatest Common Factor

We found the factors 1561,1921 . The biggest common factor number is the GCF number.
So the greatest common factor 1561,1921 is 1.

Lets's calculate LCM of 224,6809

Given numbers has no common factors except 1. So, there LCM is their product i.e 1525216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1525216

Therefore, the GCF of Fractions 1561/224,1921/6809 is 1/1525216

Least Common Multiple of 224,6809 with GCF Formula

Least Common Multiple of 224,6809 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 224,6809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,6809) = 1

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

GCF(224,6809) x common factors =1 x 1 = 1

LCM(224,6809) = ( 224 × 6809 ) / 1

LCM(224,6809) = 1525216 / 1

LCM(224,6809) = 1525216


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 1561/224, 1921/6809

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 1561/224, 1921/6809?

Answer: GCF of Numerators as per given numbers 1561/224, 1921/6809 is

GCF of Numerators i.e. for 1561,1921 is 1

LCM of denominators i.e. for 224,6809 is 1525216.

Thus, GCF of Fractions is 1/1525216.Finally, GCF of Fractions for 1561/224, 1921/6809 is 1/1525216.