Greatest Common Factor of 382/86, 602/13, 624/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 382/86, 602/13, 624/357

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 382/86,602/13,624/357

Given fractions are 382/86,602/13,624/357

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 382,602,624

Greatest Common Factor of Numerators i.e. GCF of 382,602,624 is 2 .

LCM of Denominators means LCM of 86,13,357 as per the given fractions.

LCM of 86,13,357 is 399126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 382,602,624

GCF of Fractions 382/86,602/13,624/357 is 2/399126

2 382, 602, 624
191, 301, 312

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 382,602,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,602,624 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 382,602,624 . The biggest common factor number is the GCF number.
So the greatest common factor 382,602,624 is 2.

Lets's calculate LCM of 86,13,357

Given numbers has no common factors except 1. So, there LCM is their product i.e 399126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/399126

Therefore, the GCF of Fractions 382/86,602/13,624/357 is 2/399126

Least Common Multiple of 86,13,357 with GCF Formula

Least Common Multiple of 86,13,357 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 86,13,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,13,357) = 1

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

GCF(86,13,357) x common factors =1 x 1 = 1

LCM(86,13,357) = ( 86 × 13 × 357 ) / 1

LCM(86,13,357) = 399126 / 1

LCM(86,13,357) = 399126


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 382/86, 602/13, 624/357

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 382/86, 602/13, 624/357?

Answer: GCF of Numerators as per given numbers 382/86, 602/13, 624/357 is

GCF of Numerators i.e. for 382,602,624 is 2

LCM of denominators i.e. for 86,13,357 is 399126.

Thus, GCF of Fractions is 2/399126.Finally, GCF of Fractions for 382/86, 602/13, 624/357 is 2/399126.