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 496/12, 675/848

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 496/12, 675/848 i.e 1/2544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 496/12, 675/848.

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 496/12,675/848?

Given fractions are 496/12,675/848

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 496/12,675/848, numerators are 496,675

Denominators are 12,848

The GCF of 496,675 is 1 .

LCM of 12,848 is 2544.

The greatest common factor of 496/12,675/848 = [GCF of 496,675]/[LCM of 12,848]= 1/2544

Therefore, the GCF of 496/12,675/848 is 1/2544.

Greatest Common Factor of 496,675

To find the highest common factor of 496,675, we have to find the factors of both numbers and list the highest common factor.

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

The HCF of 496,675 is 1.

Lets's calculate GCF of 496,675

Greatest Common Factor (GCF) of 496,675 By Common Division

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

Greatest Common Factor of 496,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,675 By Matching Biggest Common Factor Method

Now, list down the factors of 496

:

1,2,4,8,16,31,62,124,248,496

Now, list down the factors of 675

:

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 496,675 . The biggest common factor number is the GCF number.
So the greatest common factor 496,675 is 1.

Lets's calculate LCM of 12,848

Lowest Common Multiple of 12,848 using Common Division

2 12, 848
2 6, 424
3, 212

∴ So the LCM of the given numbers is 2 x 2 x 3 x 212 = 2544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2544

Therefore, the GCF of Fractions 496/12,675/848 is 1/2544

Least Common Multiple of 12,848 with GCF Formula

Least Common Multiple of 12,848 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 12,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,848) = 4

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

GCF(12,848) x common factors =4 x 1 = 4

LCM(12,848) = ( 12 × 848 ) / 4

LCM(12,848) = 10176 / 4

LCM(12,848) = 2544


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 496/12, 675/848

1. What is the HCF of 496,675?

The HCF of 496,675 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 496/12, 675/848?

Answer: GCF of Numerators as per given numbers 496/12, 675/848 is

GCF of Numerators i.e. for 496,675 is 1

LCM of denominators i.e. for 12,848 is 2544.

Thus, GCF of Fractions is 1/2544.Finally, GCF of Fractions for 496/12, 675/848 is 1/2544.