Greatest Common Factor of 4232/734, 4738/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4232/734, 4738/870

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 4232/734,4738/870

Given fractions are 4232/734,4738/870

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 4232,4738

Greatest Common Factor of Numerators i.e. GCF of 4232,4738 is 46 .

LCM of Denominators means LCM of 734,870 as per the given fractions.

LCM of 734,870 is 319290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4232,4738

GCF of Fractions 4232/734,4738/870 is 46/319290

2 4232, 4738
23 2116, 2369
92, 103

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 4232,4738 By Matching Biggest Common Factor Method

Greatest Common Factor of 4232,4738 By Matching Biggest Common Factor Method

Factors of 4232

List of positive integer factors of 4232 that divides 4232 without a remainder.

1,2,4,8,23,46,92,184,529,1058,2116,4232

Factors of 4738

List of positive integer factors of 4738 that divides 4738 without a remainder.

1,2,23,46,103,206,2369,4738

Greatest Common Factor

We found the factors 4232,4738 . The biggest common factor number is the GCF number.
So the greatest common factor 4232,4738 is 46.

Lets's calculate LCM of 734,870

2 734, 870
367, 435

∴ So the LCM of the given numbers is 2 x 367 x 435 = 319290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/319290

Therefore, the GCF of Fractions 4232/734,4738/870 is 46/319290

Least Common Multiple of 734,870 with GCF Formula

Least Common Multiple of 734,870 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 734,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,870) = 2

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

GCF(734,870) x common factors =2 x 1 = 2

LCM(734,870) = ( 734 × 870 ) / 2

LCM(734,870) = 638580 / 2

LCM(734,870) = 319290


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 4232/734, 4738/870

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 4232/734, 4738/870?

Answer: GCF of Numerators as per given numbers 4232/734, 4738/870 is

GCF of Numerators i.e. for 4232,4738 is 46

LCM of denominators i.e. for 734,870 is 319290.

Thus, GCF of Fractions is 46/319290.Finally, GCF of Fractions for 4232/734, 4738/870 is 46/319290.