Greatest Common Factor of 3750/355, 5644/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3750/355, 5644/246

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 3750/355,5644/246

Given fractions are 3750/355,5644/246

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 3750,5644

Greatest Common Factor of Numerators i.e. GCF of 3750,5644 is 2 .

LCM of Denominators means LCM of 355,246 as per the given fractions.

LCM of 355,246 is 87330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3750,5644

GCF of Fractions 3750/355,5644/246 is 2/87330

2 3750, 5644
1875, 2822

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3750,5644 By Matching Biggest Common Factor Method

Greatest Common Factor of 3750,5644 By Matching Biggest Common Factor Method

Factors of 3750

List of positive integer factors of 3750 that divides 3750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,625,750,1250,1875,3750

Factors of 5644

List of positive integer factors of 5644 that divides 5644 without a remainder.

1,2,4,17,34,68,83,166,332,1411,2822,5644

Greatest Common Factor

We found the factors 3750,5644 . The biggest common factor number is the GCF number.
So the greatest common factor 3750,5644 is 2.

Lets's calculate LCM of 355,246

Given numbers has no common factors except 1. So, there LCM is their product i.e 87330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87330

Therefore, the GCF of Fractions 3750/355,5644/246 is 2/87330

Least Common Multiple of 355,246 with GCF Formula

Least Common Multiple of 355,246 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 355,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,246) = 1

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

GCF(355,246) x common factors =1 x 1 = 1

LCM(355,246) = ( 355 × 246 ) / 1

LCM(355,246) = 87330 / 1

LCM(355,246) = 87330


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3750/355, 5644/246

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 3750/355, 5644/246?

Answer: GCF of Numerators as per given numbers 3750/355, 5644/246 is

GCF of Numerators i.e. for 3750,5644 is 2

LCM of denominators i.e. for 355,246 is 87330.

Thus, GCF of Fractions is 2/87330.Finally, GCF of Fractions for 3750/355, 5644/246 is 2/87330.