How to Find GCF of 629/784, 3301/924?

GCF of 629/784, 3301/924

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 629/784, 3301/924 i.e 1/25872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/784, 3301/924.

Enter two or more fractions separated by "commas"

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

What is the GCF of 629/784,3301/924?

Given fractions are 629/784,3301/924

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 629/784,3301/924, numerators are 629,3301

Denominators are 784,924

The GCF of 629,3301 is 1 .

LCM of 784,924 is 25872.

The greatest common factor of 629/784,3301/924 = [GCF of 629,3301]/[LCM of 784,924]= 1/25872

Therefore, the GCF of 629/784,3301/924 is 1/25872.

Greatest Common Factor of 629,3301

To find the highest common factor of 629,3301, we have to find the factors of both numbers and list the highest common factor.

The factors of 629 are 1, 17, 37, 629

The factors of 3301 are 1, 3301

The HCF of 629,3301 is 1.

Lets's calculate GCF of 629,3301

Greatest Common Factor (GCF) of 629,3301 By Common Division

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

Greatest Common Factor of 629,3301 By Matching Biggest Common Factor Method

Now, list down the factors of 629

1,17,37,629

Now, list down the factors of 3301

1,3301

Greatest Common Factor

We found the factors 629,3301 . The biggest common factor number is the GCF number.
So the greatest common factor 629,3301 is 1.

Lets's calculate LCM of 784,924

Lowest Common Multiple of 784,924 using Common Division

2	784, 924
2	392, 462
7	196, 231
	28, 33

∴ So the LCM of the given numbers is 2 x 2 x 7 x 28 x 33 = 25872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25872

Therefore, the GCF of Fractions 629/784,3301/924 is 1/25872

Least Common Multiple of 784,924 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 784,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,924) = 28

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

GCF(784,924) x common factors =28 x 1 = 28

LCM(784,924) = ( 784 × 924 ) / 28

LCM(784,924) = 724416 / 28

LCM(784,924) = 25872

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 629/784, 3301/924

1. What is the HCF of 629,3301?

The HCF of 629,3301 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 629/784, 3301/924?

Answer: GCF of Numerators as per given numbers 629/784, 3301/924 is

GCF of Numerators i.e. for 629,3301 is 1

LCM of denominators i.e. for 784,924 is 25872.

Thus, GCF of Fractions is 1/25872.Finally, GCF of Fractions for 629/784, 3301/924 is 1/25872.