Greatest Common Factor of 4428/148, 6553/3827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4428/148, 6553/3827

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 4428/148,6553/3827

Given fractions are 4428/148,6553/3827

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 4428,6553

Greatest Common Factor of Numerators i.e. GCF of 4428,6553 is 1 .

LCM of Denominators means LCM of 148,3827 as per the given fractions.

LCM of 148,3827 is 566396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4428,6553

GCF of Fractions 4428/148,6553/3827 is 1/566396

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

Greatest Common Factor of 4428,6553 By Matching Biggest Common Factor Method

Greatest Common Factor of 4428,6553 By Matching Biggest Common Factor Method

Factors of 4428

List of positive integer factors of 4428 that divides 4428 without a remainder.

1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428

Factors of 6553

List of positive integer factors of 6553 that divides 6553 without a remainder.

1,6553

Greatest Common Factor

We found the factors 4428,6553 . The biggest common factor number is the GCF number.
So the greatest common factor 4428,6553 is 1.

Lets's calculate LCM of 148,3827

Given numbers has no common factors except 1. So, there LCM is their product i.e 566396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/566396

Therefore, the GCF of Fractions 4428/148,6553/3827 is 1/566396

Least Common Multiple of 148,3827 with GCF Formula

Least Common Multiple of 148,3827 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 148,3827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,3827) = 1

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

GCF(148,3827) x common factors =1 x 1 = 1

LCM(148,3827) = ( 148 × 3827 ) / 1

LCM(148,3827) = 566396 / 1

LCM(148,3827) = 566396


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 4428/148, 6553/3827

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 4428/148, 6553/3827?

Answer: GCF of Numerators as per given numbers 4428/148, 6553/3827 is

GCF of Numerators i.e. for 4428,6553 is 1

LCM of denominators i.e. for 148,3827 is 566396.

Thus, GCF of Fractions is 1/566396.Finally, GCF of Fractions for 4428/148, 6553/3827 is 1/566396.