Greatest Common Factor of 1775/653, 1543/8814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1775/653, 1543/8814

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 1775/653,1543/8814

Given fractions are 1775/653,1543/8814

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 1775,1543

Greatest Common Factor of Numerators i.e. GCF of 1775,1543 is 1 .

LCM of Denominators means LCM of 653,8814 as per the given fractions.

LCM of 653,8814 is 5755542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1775,1543

GCF of Fractions 1775/653,1543/8814 is 1/5755542

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

Greatest Common Factor of 1775,1543 By Matching Biggest Common Factor Method

Greatest Common Factor of 1775,1543 By Matching Biggest Common Factor Method

Factors of 1775

List of positive integer factors of 1775 that divides 1775 without a remainder.

1,5,25,71,355,1775

Factors of 1543

List of positive integer factors of 1543 that divides 1543 without a remainder.

1,1543

Greatest Common Factor

We found the factors 1775,1543 . The biggest common factor number is the GCF number.
So the greatest common factor 1775,1543 is 1.

Lets's calculate LCM of 653,8814

Given numbers has no common factors except 1. So, there LCM is their product i.e 5755542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5755542

Therefore, the GCF of Fractions 1775/653,1543/8814 is 1/5755542

Least Common Multiple of 653,8814 with GCF Formula

Least Common Multiple of 653,8814 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 653,8814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,8814) = 1

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

GCF(653,8814) x common factors =1 x 1 = 1

LCM(653,8814) = ( 653 × 8814 ) / 1

LCM(653,8814) = 5755542 / 1

LCM(653,8814) = 5755542


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 1775/653, 1543/8814

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 1775/653, 1543/8814?

Answer: GCF of Numerators as per given numbers 1775/653, 1543/8814 is

GCF of Numerators i.e. for 1775,1543 is 1

LCM of denominators i.e. for 653,8814 is 5755542.

Thus, GCF of Fractions is 1/5755542.Finally, GCF of Fractions for 1775/653, 1543/8814 is 1/5755542.