Greatest Common Factor of 429/78, 843/24, 911/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 429/78, 843/24, 911/139

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 429/78,843/24,911/139

Given fractions are 429/78,843/24,911/139

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 429,843,911

Greatest Common Factor of Numerators i.e. GCF of 429,843,911 is 1 .

LCM of Denominators means LCM of 78,24,139 as per the given fractions.

LCM of 78,24,139 is 43368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 429,843,911

GCF of Fractions 429/78,843/24,911/139 is 1/43368

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

Greatest Common Factor of 429,843,911 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,843,911 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 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Greatest Common Factor

We found the factors 429,843,911 . The biggest common factor number is the GCF number.
So the greatest common factor 429,843,911 is 1.

Lets's calculate LCM of 78,24,139

2 78, 24, 139
3 39, 12, 139
13, 4, 139

∴ So the LCM of the given numbers is 2 x 3 x 13 x 4 x 139 = 43368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43368

Therefore, the GCF of Fractions 429/78,843/24,911/139 is 1/43368

Least Common Multiple of 78,24,139 with GCF Formula

Least Common Multiple of 78,24,139 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 78,24,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,24,139) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,24,139) x common factors =1 x 6 = 6

LCM(78,24,139) = ( 78 × 24 × 139 ) / 6

LCM(78,24,139) = 260208 / 6

LCM(78,24,139) = 43368


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 429/78, 843/24, 911/139

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 429/78, 843/24, 911/139?

Answer: GCF of Numerators as per given numbers 429/78, 843/24, 911/139 is

GCF of Numerators i.e. for 429,843,911 is 1

LCM of denominators i.e. for 78,24,139 is 43368.

Thus, GCF of Fractions is 1/43368.Finally, GCF of Fractions for 429/78, 843/24, 911/139 is 1/43368.