Greatest Common Factor of 388/142, 164/675, 694/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 388/142, 164/675, 694/829

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 388/142,164/675,694/829

Given fractions are 388/142,164/675,694/829

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 388,164,694

Greatest Common Factor of Numerators i.e. GCF of 388,164,694 is 2 .

LCM of Denominators means LCM of 142,675,829 as per the given fractions.

LCM of 142,675,829 is 79459650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 388,164,694

GCF of Fractions 388/142,164/675,694/829 is 2/79459650

2 388, 164, 694
194, 82, 347

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

Greatest Common Factor of 388,164,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,164,694 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 388,164,694 . The biggest common factor number is the GCF number.
So the greatest common factor 388,164,694 is 2.

Lets's calculate LCM of 142,675,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 79459650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79459650

Therefore, the GCF of Fractions 388/142,164/675,694/829 is 2/79459650

Least Common Multiple of 142,675,829 with GCF Formula

Least Common Multiple of 142,675,829 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 142,675,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,675,829) = 1

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

GCF(142,675,829) x common factors =1 x 1 = 1

LCM(142,675,829) = ( 142 × 675 × 829 ) / 1

LCM(142,675,829) = 79459650 / 1

LCM(142,675,829) = 79459650


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 388/142, 164/675, 694/829

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 388/142, 164/675, 694/829?

Answer: GCF of Numerators as per given numbers 388/142, 164/675, 694/829 is

GCF of Numerators i.e. for 388,164,694 is 2

LCM of denominators i.e. for 142,675,829 is 79459650.

Thus, GCF of Fractions is 2/79459650.Finally, GCF of Fractions for 388/142, 164/675, 694/829 is 2/79459650.