Greatest Common Factor of 742/449, 3816/9062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/449, 3816/9062

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 742/449,3816/9062

Given fractions are 742/449,3816/9062

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 742,3816

Greatest Common Factor of Numerators i.e. GCF of 742,3816 is 106 .

LCM of Denominators means LCM of 449,9062 as per the given fractions.

LCM of 449,9062 is 4068838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,3816

GCF of Fractions 742/449,3816/9062 is 106/4068838

2 742, 3816
53 371, 1908
7, 36

∴ So the GCF of the given numbers is 2 x 53 = 106

Greatest Common Factor of 742,3816 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,3816 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 3816

List of positive integer factors of 3816 that divides 3816 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,53,72,106,159,212,318,424,477,636,954,1272,1908,3816

Greatest Common Factor

We found the factors 742,3816 . The biggest common factor number is the GCF number.
So the greatest common factor 742,3816 is 106.

Lets's calculate LCM of 449,9062

Given numbers has no common factors except 1. So, there LCM is their product i.e 4068838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 106/4068838

Therefore, the GCF of Fractions 742/449,3816/9062 is 106/4068838

Least Common Multiple of 449,9062 with GCF Formula

Least Common Multiple of 449,9062 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 449,9062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,9062) = 1

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

GCF(449,9062) x common factors =1 x 1 = 1

LCM(449,9062) = ( 449 × 9062 ) / 1

LCM(449,9062) = 4068838 / 1

LCM(449,9062) = 4068838


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 742/449, 3816/9062

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 742/449, 3816/9062?

Answer: GCF of Numerators as per given numbers 742/449, 3816/9062 is

GCF of Numerators i.e. for 742,3816 is 106

LCM of denominators i.e. for 449,9062 is 4068838.

Thus, GCF of Fractions is 106/4068838.Finally, GCF of Fractions for 742/449, 3816/9062 is 106/4068838.