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 639/236, 302/172

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 639/236, 302/172 i.e 1/10148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 639/236, 302/172.

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 639/236,302/172?

Given fractions are 639/236,302/172

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 639/236,302/172, numerators are 639,302

Denominators are 236,172

The GCF of 639,302 is 1 .

LCM of 236,172 is 10148.

The greatest common factor of 639/236,302/172 = [GCF of 639,302]/[LCM of 236,172]= 1/10148

Therefore, the GCF of 639/236,302/172 is 1/10148.

Greatest Common Factor of 639,302

To find the highest common factor of 639,302, we have to find the factors of both numbers and list the highest common factor.

The factors of 639 are 1, 3, 9, 71, 213, 639

The factors of 302 are 1, 2, 151, 302

The HCF of 639,302 is 1.

Lets's calculate GCF of 639,302

Greatest Common Factor (GCF) of 639,302 By Common Division

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

Greatest Common Factor of 639,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,302 By Matching Biggest Common Factor Method

Now, list down the factors of 639

:

1,3,9,71,213,639

Now, list down the factors of 302

:

1,2,151,302

Greatest Common Factor

We found the factors 639,302 . The biggest common factor number is the GCF number.
So the greatest common factor 639,302 is 1.

Lets's calculate LCM of 236,172

Lowest Common Multiple of 236,172 using Common Division

2 236, 172
2 118, 86
59, 43

∴ So the LCM of the given numbers is 2 x 2 x 59 x 43 = 10148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10148

Therefore, the GCF of Fractions 639/236,302/172 is 1/10148

Least Common Multiple of 236,172 with GCF Formula

Least Common Multiple of 236,172 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 236,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,172) = 4

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

GCF(236,172) x common factors =4 x 1 = 4

LCM(236,172) = ( 236 × 172 ) / 4

LCM(236,172) = 40592 / 4

LCM(236,172) = 10148


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 639/236, 302/172

1. What is the HCF of 639,302?

The HCF of 639,302 is 1

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 639/236, 302/172?

Answer: GCF of Numerators as per given numbers 639/236, 302/172 is

GCF of Numerators i.e. for 639,302 is 1

LCM of denominators i.e. for 236,172 is 10148.

Thus, GCF of Fractions is 1/10148.Finally, GCF of Fractions for 639/236, 302/172 is 1/10148.