Greatest Common Factor of 3553/42, 5425/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3553/42, 5425/477

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 3553/42,5425/477

Given fractions are 3553/42,5425/477

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 3553,5425

Greatest Common Factor of Numerators i.e. GCF of 3553,5425 is 1 .

LCM of Denominators means LCM of 42,477 as per the given fractions.

LCM of 42,477 is 6678 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3553,5425

GCF of Fractions 3553/42,5425/477 is 1/6678

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

Greatest Common Factor of 3553,5425 By Matching Biggest Common Factor Method

Greatest Common Factor of 3553,5425 By Matching Biggest Common Factor Method

Factors of 3553

List of positive integer factors of 3553 that divides 3553 without a remainder.

1,11,17,19,187,209,323,3553

Factors of 5425

List of positive integer factors of 5425 that divides 5425 without a remainder.

1,5,7,25,31,35,155,175,217,775,1085,5425

Greatest Common Factor

We found the factors 3553,5425 . The biggest common factor number is the GCF number.
So the greatest common factor 3553,5425 is 1.

Lets's calculate LCM of 42,477

3 42, 477
14, 159

∴ So the LCM of the given numbers is 3 x 14 x 159 = 6678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6678

Therefore, the GCF of Fractions 3553/42,5425/477 is 1/6678

Least Common Multiple of 42,477 with GCF Formula

Least Common Multiple of 42,477 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 42,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,477) = 3

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

GCF(42,477) x common factors =3 x 1 = 3

LCM(42,477) = ( 42 × 477 ) / 3

LCM(42,477) = 20034 / 3

LCM(42,477) = 6678


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 3553/42, 5425/477

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 3553/42, 5425/477?

Answer: GCF of Numerators as per given numbers 3553/42, 5425/477 is

GCF of Numerators i.e. for 3553,5425 is 1

LCM of denominators i.e. for 42,477 is 6678.

Thus, GCF of Fractions is 1/6678.Finally, GCF of Fractions for 3553/42, 5425/477 is 1/6678.