Greatest Common Factor of 629/178, 5202/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 629/178, 5202/201

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 629/178,5202/201

Given fractions are 629/178,5202/201

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 629,5202

Greatest Common Factor of Numerators i.e. GCF of 629,5202 is 17 .

LCM of Denominators means LCM of 178,201 as per the given fractions.

LCM of 178,201 is 35778 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 629,5202

GCF of Fractions 629/178,5202/201 is 17/35778

17 629, 5202
37, 306

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 629,5202 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,5202 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 5202

List of positive integer factors of 5202 that divides 5202 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202

Greatest Common Factor

We found the factors 629,5202 . The biggest common factor number is the GCF number.
So the greatest common factor 629,5202 is 17.

Lets's calculate LCM of 178,201

Given numbers has no common factors except 1. So, there LCM is their product i.e 35778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/35778

Therefore, the GCF of Fractions 629/178,5202/201 is 17/35778

Least Common Multiple of 178,201 with GCF Formula

Least Common Multiple of 178,201 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 178,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,201) = 1

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

GCF(178,201) x common factors =1 x 1 = 1

LCM(178,201) = ( 178 × 201 ) / 1

LCM(178,201) = 35778 / 1

LCM(178,201) = 35778


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 629/178, 5202/201

1. 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.

2. What is the GCF of Fractions for 629/178, 5202/201?

Answer: GCF of Numerators as per given numbers 629/178, 5202/201 is

GCF of Numerators i.e. for 629,5202 is 17

LCM of denominators i.e. for 178,201 is 35778.

Thus, GCF of Fractions is 17/35778.Finally, GCF of Fractions for 629/178, 5202/201 is 17/35778.