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 456/64, 237/672

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 456/64, 237/672 i.e 3/1344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 456/64, 237/672.

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 456/64,237/672?

Given fractions are 456/64,237/672

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 456/64,237/672, numerators are 456,237

Denominators are 64,672

The GCF of 456,237 is 3 .

LCM of 64,672 is 1344.

The greatest common factor of 456/64,237/672 = [GCF of 456,237]/[LCM of 64,672]= 3/1344

Therefore, the GCF of 456/64,237/672 is 3/1344.

Greatest Common Factor of 456,237

To find the highest common factor of 456,237, we have to find the factors of both numbers and list the highest common factor.

The factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

The HCF of 456,237 is 3.

Lets's calculate GCF of 456,237

Greatest Common Factor (GCF) of 456,237 By Common Division

3 456, 237
152, 79

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 456,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,237 By Matching Biggest Common Factor Method

Now, list down the factors of 456

:

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Now, list down the factors of 237

:

1,3,79,237

Greatest Common Factor

We found the factors 456,237 . The biggest common factor number is the GCF number.
So the greatest common factor 456,237 is 3.

Lets's calculate LCM of 64,672

Lowest Common Multiple of 64,672 using Common Division

2 64, 672
2 32, 336
2 16, 168
2 8, 84
2 4, 42
2, 21

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 21 = 1344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1344

Therefore, the GCF of Fractions 456/64,237/672 is 3/1344

Least Common Multiple of 64,672 with GCF Formula

Least Common Multiple of 64,672 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 64,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,672) = 32

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

GCF(64,672) x common factors =32 x 1 = 32

LCM(64,672) = ( 64 × 672 ) / 32

LCM(64,672) = 43008 / 32

LCM(64,672) = 1344


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 456/64, 237/672

1. What is the HCF of 456,237?

The HCF of 456,237 is 3

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 456/64, 237/672?

Answer: GCF of Numerators as per given numbers 456/64, 237/672 is

GCF of Numerators i.e. for 456,237 is 3

LCM of denominators i.e. for 64,672 is 1344.

Thus, GCF of Fractions is 3/1344.Finally, GCF of Fractions for 456/64, 237/672 is 3/1344.