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 576/905, 874/653

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 576/905, 874/653 i.e 2/590965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 576/905, 874/653.

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 576/905,874/653?

Given fractions are 576/905,874/653

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 576/905,874/653, numerators are 576,874

Denominators are 905,653

The GCF of 576,874 is 2 .

LCM of 905,653 is 590965.

The greatest common factor of 576/905,874/653 = [GCF of 576,874]/[LCM of 905,653]= 2/590965

Therefore, the GCF of 576/905,874/653 is 2/590965.

Greatest Common Factor of 576,874

To find the highest common factor of 576,874, we have to find the factors of both numbers and list the highest common factor.

The factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874

The HCF of 576,874 is 2.

Lets's calculate GCF of 576,874

Greatest Common Factor (GCF) of 576,874 By Common Division

2 576, 874
288, 437

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

Greatest Common Factor of 576,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,874 By Matching Biggest Common Factor Method

Now, list down the factors of 576

:

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Now, list down the factors of 874

:

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 576,874 . The biggest common factor number is the GCF number.
So the greatest common factor 576,874 is 2.


Lets's calculate LCM of 905,653

Lowest Common Multiple of 905,653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 590965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/590965

Therefore, the GCF of Fractions 576/905,874/653 is 2/590965

Least Common Multiple of 905,653 with GCF Formula

Least Common Multiple of 905,653 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 905,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,653) = 1

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

GCF(905,653) x common factors =1 x 1 = 1

LCM(905,653) = ( 905 × 653 ) / 1

LCM(905,653) = 590965 / 1

LCM(905,653) = 590965


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 576/905, 874/653

1. What is the HCF of 576,874?

The HCF of 576,874 is 2

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 576/905, 874/653?

Answer: GCF of Numerators as per given numbers 576/905, 874/653 is

GCF of Numerators i.e. for 576,874 is 2

LCM of denominators i.e. for 905,653 is 590965.

Thus, GCF of Fractions is 2/590965.Finally, GCF of Fractions for 576/905, 874/653 is 2/590965.