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GCF of 629/50, 205/1923

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 629/50, 205/1923 i.e 1/96150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/50, 205/1923.

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 629/50,205/1923?

Given fractions are 629/50,205/1923

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 629/50,205/1923, numerators are 629,205

Denominators are 50,1923

The GCF of 629,205 is 1 .

LCM of 50,1923 is 96150.

The greatest common factor of 629/50,205/1923 = [GCF of 629,205]/[LCM of 50,1923]= 1/96150

Therefore, the GCF of 629/50,205/1923 is 1/96150.

Greatest Common Factor of 629,205

To find the highest common factor of 629,205, 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 205 are 1, 5, 41, 205

The HCF of 629,205 is 1.

Lets's calculate GCF of 629,205

Greatest Common Factor (GCF) of 629,205 By Common Division

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

Greatest Common Factor of 629,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,205 By Matching Biggest Common Factor Method

Now, list down the factors of 629

:

1,17,37,629

Now, list down the factors of 205

:

1,5,41,205

Greatest Common Factor

We found the factors 629,205 . The biggest common factor number is the GCF number.
So the greatest common factor 629,205 is 1.

Lets's calculate LCM of 50,1923

Lowest Common Multiple of 50,1923 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 96150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96150

Therefore, the GCF of Fractions 629/50,205/1923 is 1/96150

Least Common Multiple of 50,1923 with GCF Formula

Least Common Multiple of 50,1923 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 50,1923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,1923) = 1

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

GCF(50,1923) x common factors =1 x 1 = 1

LCM(50,1923) = ( 50 × 1923 ) / 1

LCM(50,1923) = 96150 / 1

LCM(50,1923) = 96150


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FAQs on GCF of Fractions of 629/50, 205/1923

1. What is the HCF of 629,205?

The HCF of 629,205 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 629/50, 205/1923?

Answer: GCF of Numerators as per given numbers 629/50, 205/1923 is

GCF of Numerators i.e. for 629,205 is 1

LCM of denominators i.e. for 50,1923 is 96150.

Thus, GCF of Fractions is 1/96150.Finally, GCF of Fractions for 629/50, 205/1923 is 1/96150.