Greatest Common Factor of 5527/649, 4331/1945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5527/649, 4331/1945

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 5527/649,4331/1945

Given fractions are 5527/649,4331/1945

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 5527,4331

Greatest Common Factor of Numerators i.e. GCF of 5527,4331 is 1 .

LCM of Denominators means LCM of 649,1945 as per the given fractions.

LCM of 649,1945 is 1262305 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5527,4331

GCF of Fractions 5527/649,4331/1945 is 1/1262305

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

Greatest Common Factor of 5527,4331 By Matching Biggest Common Factor Method

Greatest Common Factor of 5527,4331 By Matching Biggest Common Factor Method

Factors of 5527

List of positive integer factors of 5527 that divides 5527 without a remainder.

1,5527

Factors of 4331

List of positive integer factors of 4331 that divides 4331 without a remainder.

1,61,71,4331

Greatest Common Factor

We found the factors 5527,4331 . The biggest common factor number is the GCF number.
So the greatest common factor 5527,4331 is 1.

Lets's calculate LCM of 649,1945

Given numbers has no common factors except 1. So, there LCM is their product i.e 1262305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1262305

Therefore, the GCF of Fractions 5527/649,4331/1945 is 1/1262305

Least Common Multiple of 649,1945 with GCF Formula

Least Common Multiple of 649,1945 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 649,1945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,1945) = 1

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

GCF(649,1945) x common factors =1 x 1 = 1

LCM(649,1945) = ( 649 × 1945 ) / 1

LCM(649,1945) = 1262305 / 1

LCM(649,1945) = 1262305


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 5527/649, 4331/1945

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 5527/649, 4331/1945?

Answer: GCF of Numerators as per given numbers 5527/649, 4331/1945 is

GCF of Numerators i.e. for 5527,4331 is 1

LCM of denominators i.e. for 649,1945 is 1262305.

Thus, GCF of Fractions is 1/1262305.Finally, GCF of Fractions for 5527/649, 4331/1945 is 1/1262305.