LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 237/384, 200/748

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 237/384, 200/748 i.e 1/71808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 237/384, 200/748.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 237/384,200/748?

Given fractions are 237/384,200/748

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 237/384,200/748, numerators are 237,200

Denominators are 384,748

The GCF of 237,200 is 1 .

LCM of 384,748 is 71808.

The greatest common factor of 237/384,200/748 = [GCF of 237,200]/[LCM of 384,748]= 1/71808

Therefore, the GCF of 237/384,200/748 is 1/71808.

Greatest Common Factor of 237,200

To find the highest common factor of 237,200, we have to find the factors of both numbers and list the highest common factor.

The factors of 237 are 1, 3, 79, 237

The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

The HCF of 237,200 is 1.

Lets's calculate GCF of 237,200

Greatest Common Factor (GCF) of 237,200 By Common Division

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

Greatest Common Factor of 237,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,200 By Matching Biggest Common Factor Method

Now, list down the factors of 237

:

1,3,79,237

Now, list down the factors of 200

:

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 237,200 . The biggest common factor number is the GCF number.
So the greatest common factor 237,200 is 1.

Lets's calculate LCM of 384,748

Lowest Common Multiple of 384,748 using Common Division

2 384, 748
2 192, 374
96, 187

∴ So the LCM of the given numbers is 2 x 2 x 96 x 187 = 71808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71808

Therefore, the GCF of Fractions 237/384,200/748 is 1/71808

Least Common Multiple of 384,748 with GCF Formula

Least Common Multiple of 384,748 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 384,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,748) = 4

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

GCF(384,748) x common factors =4 x 1 = 4

LCM(384,748) = ( 384 × 748 ) / 4

LCM(384,748) = 287232 / 4

LCM(384,748) = 71808


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 237/384, 200/748

1. What is the HCF of 237,200?

The HCF of 237,200 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 237/384, 200/748?

Answer: GCF of Numerators as per given numbers 237/384, 200/748 is

GCF of Numerators i.e. for 237,200 is 1

LCM of denominators i.e. for 384,748 is 71808.

Thus, GCF of Fractions is 1/71808.Finally, GCF of Fractions for 237/384, 200/748 is 1/71808.