Greatest Common Factor of 429/379, 2394/1508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 429/379, 2394/1508

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 429/379,2394/1508

Given fractions are 429/379,2394/1508

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 429,2394

Greatest Common Factor of Numerators i.e. GCF of 429,2394 is 3 .

LCM of Denominators means LCM of 379,1508 as per the given fractions.

LCM of 379,1508 is 571532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 429,2394

GCF of Fractions 429/379,2394/1508 is 3/571532

3 429, 2394
143, 798

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

Greatest Common Factor of 429,2394 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,2394 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 2394

List of positive integer factors of 2394 that divides 2394 without a remainder.

1,2,3,6,7,9,14,18,19,21,38,42,57,63,114,126,133,171,266,342,399,798,1197,2394

Greatest Common Factor

We found the factors 429,2394 . The biggest common factor number is the GCF number.
So the greatest common factor 429,2394 is 3.

Lets's calculate LCM of 379,1508

Given numbers has no common factors except 1. So, there LCM is their product i.e 571532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/571532

Therefore, the GCF of Fractions 429/379,2394/1508 is 3/571532

Least Common Multiple of 379,1508 with GCF Formula

Least Common Multiple of 379,1508 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 379,1508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,1508) = 1

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

GCF(379,1508) x common factors =1 x 1 = 1

LCM(379,1508) = ( 379 × 1508 ) / 1

LCM(379,1508) = 571532 / 1

LCM(379,1508) = 571532


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 429/379, 2394/1508

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 429/379, 2394/1508?

Answer: GCF of Numerators as per given numbers 429/379, 2394/1508 is

GCF of Numerators i.e. for 429,2394 is 3

LCM of denominators i.e. for 379,1508 is 571532.

Thus, GCF of Fractions is 3/571532.Finally, GCF of Fractions for 429/379, 2394/1508 is 3/571532.