LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 108/249, 753/106

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 108/249, 753/106 i.e 3/26394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 108/249, 753/106.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 108/249,753/106?

Given fractions are 108/249,753/106

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 108/249,753/106, numerators are 108,753

Denominators are 249,106

The GCF of 108,753 is 3 .

LCM of 249,106 is 26394.

The greatest common factor of 108/249,753/106 = [GCF of 108,753]/[LCM of 249,106]= 3/26394

Therefore, the GCF of 108/249,753/106 is 3/26394.

Greatest Common Factor of 108,753

To find the highest common factor of 108,753, we have to find the factors of both numbers and list the highest common factor.

The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The factors of 753 are 1, 3, 251, 753

The HCF of 108,753 is 3.

Lets's calculate GCF of 108,753

Greatest Common Factor (GCF) of 108,753 By Common Division

3 108, 753
36, 251

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 108,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,753 By Matching Biggest Common Factor Method

Now, list down the factors of 108

:

1,2,3,4,6,9,12,18,27,36,54,108

Now, list down the factors of 753

:

1,3,251,753

Greatest Common Factor

We found the factors 108,753 . The biggest common factor number is the GCF number.
So the greatest common factor 108,753 is 3.

Lets's calculate LCM of 249,106

Lowest Common Multiple of 249,106 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 26394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26394

Therefore, the GCF of Fractions 108/249,753/106 is 3/26394

Least Common Multiple of 249,106 with GCF Formula

Least Common Multiple of 249,106 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 249,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,106) = 1

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

GCF(249,106) x common factors =1 x 1 = 1

LCM(249,106) = ( 249 × 106 ) / 1

LCM(249,106) = 26394 / 1

LCM(249,106) = 26394


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 108/249, 753/106

1. What is the HCF of 108,753?

The HCF of 108,753 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 108/249, 753/106?

Answer: GCF of Numerators as per given numbers 108/249, 753/106 is

GCF of Numerators i.e. for 108,753 is 3

LCM of denominators i.e. for 249,106 is 26394.

Thus, GCF of Fractions is 3/26394.Finally, GCF of Fractions for 108/249, 753/106 is 3/26394.