Greatest Common Factor of 37/40, 99/44, 429/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/40, 99/44, 429/414

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 37/40,99/44,429/414

Given fractions are 37/40,99/44,429/414

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 37,99,429

Greatest Common Factor of Numerators i.e. GCF of 37,99,429 is 1 .

LCM of Denominators means LCM of 40,44,414 as per the given fractions.

LCM of 40,44,414 is 91080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,99,429

GCF of Fractions 37/40,99/44,429/414 is 1/91080

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

Greatest Common Factor of 37,99,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,99,429 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 429

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

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

Greatest Common Factor

We found the factors 37,99,429 . The biggest common factor number is the GCF number.
So the greatest common factor 37,99,429 is 1.

Lets's calculate LCM of 40,44,414

2 40, 44, 414
2 20, 22, 207
10, 11, 207

∴ So the LCM of the given numbers is 2 x 2 x 10 x 11 x 207 = 91080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91080

Therefore, the GCF of Fractions 37/40,99/44,429/414 is 1/91080

Least Common Multiple of 40,44,414 with GCF Formula

Least Common Multiple of 40,44,414 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 40,44,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,44,414) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(40,44,414) x common factors =2 x 4 = 8

LCM(40,44,414) = ( 40 × 44 × 414 ) / 8

LCM(40,44,414) = 728640 / 8

LCM(40,44,414) = 91080


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 37/40, 99/44, 429/414

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 37/40, 99/44, 429/414?

Answer: GCF of Numerators as per given numbers 37/40, 99/44, 429/414 is

GCF of Numerators i.e. for 37,99,429 is 1

LCM of denominators i.e. for 40,44,414 is 91080.

Thus, GCF of Fractions is 1/91080.Finally, GCF of Fractions for 37/40, 99/44, 429/414 is 1/91080.