How to Find GCF of 629/69, 499/466?

GCF of 629/69, 499/466

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 629/69, 499/466 i.e 1/32154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/69, 499/466.

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 629/69,499/466?

Given fractions are 629/69,499/466

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 629/69,499/466, numerators are 629,499

Denominators are 69,466

The GCF of 629,499 is 1 .

LCM of 69,466 is 32154.

The greatest common factor of 629/69,499/466 = [GCF of 629,499]/[LCM of 69,466]= 1/32154

Therefore, the GCF of 629/69,499/466 is 1/32154.

Greatest Common Factor of 629,499

To find the highest common factor of 629,499, 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 499 are 1, 499

The HCF of 629,499 is 1.

Lets's calculate GCF of 629,499

Greatest Common Factor (GCF) of 629,499 By Common Division

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

Greatest Common Factor of 629,499 By Matching Biggest Common Factor Method

Now, list down the factors of 629

1,17,37,629

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 629,499 . The biggest common factor number is the GCF number.
So the greatest common factor 629,499 is 1.

Lets's calculate LCM of 69,466

Lowest Common Multiple of 69,466 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 32154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32154

Therefore, the GCF of Fractions 629/69,499/466 is 1/32154

Least Common Multiple of 69,466 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 69,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,466) = 1

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

GCF(69,466) x common factors =1 x 1 = 1

LCM(69,466) = ( 69 × 466 ) / 1

LCM(69,466) = 32154 / 1

LCM(69,466) = 32154

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 629/69, 499/466

1. What is the HCF of 629,499?

The HCF of 629,499 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 629/69, 499/466?

Answer: GCF of Numerators as per given numbers 629/69, 499/466 is

GCF of Numerators i.e. for 629,499 is 1

LCM of denominators i.e. for 69,466 is 32154.

Thus, GCF of Fractions is 1/32154.Finally, GCF of Fractions for 629/69, 499/466 is 1/32154.