Greatest Common Factor of 350/438, 300/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 350/438, 300/638

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 350/438,300/638

Given fractions are 350/438,300/638

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 350,300

Greatest Common Factor of Numerators i.e. GCF of 350,300 is 50 .

LCM of Denominators means LCM of 438,638 as per the given fractions.

LCM of 438,638 is 139722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 350,300

GCF of Fractions 350/438,300/638 is 50/139722

2 350, 300
5 175, 150
5 35, 30
7, 6

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Greatest Common Factor of 350,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,300 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 350,300 . The biggest common factor number is the GCF number.
So the greatest common factor 350,300 is 50.

Lets's calculate LCM of 438,638

2 438, 638
219, 319

∴ So the LCM of the given numbers is 2 x 219 x 319 = 139722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/139722

Therefore, the GCF of Fractions 350/438,300/638 is 50/139722

Least Common Multiple of 438,638 with GCF Formula

Least Common Multiple of 438,638 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 438,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,638) = 2

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

GCF(438,638) x common factors =2 x 1 = 2

LCM(438,638) = ( 438 × 638 ) / 2

LCM(438,638) = 279444 / 2

LCM(438,638) = 139722


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 350/438, 300/638

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 350/438, 300/638?

Answer: GCF of Numerators as per given numbers 350/438, 300/638 is

GCF of Numerators i.e. for 350,300 is 50

LCM of denominators i.e. for 438,638 is 139722.

Thus, GCF of Fractions is 50/139722.Finally, GCF of Fractions for 350/438, 300/638 is 50/139722.