Greatest Common Factor of 435/66, 201/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/66, 201/278

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 435/66,201/278

Given fractions are 435/66,201/278

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 435,201

Greatest Common Factor of Numerators i.e. GCF of 435,201 is 3 .

LCM of Denominators means LCM of 66,278 as per the given fractions.

LCM of 66,278 is 9174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,201

GCF of Fractions 435/66,201/278 is 3/9174

3 435, 201
145, 67

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 435,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,201 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 435,201 . The biggest common factor number is the GCF number.
So the greatest common factor 435,201 is 3.

Lets's calculate LCM of 66,278

2 66, 278
33, 139

∴ So the LCM of the given numbers is 2 x 33 x 139 = 9174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9174

Therefore, the GCF of Fractions 435/66,201/278 is 3/9174

Least Common Multiple of 66,278 with GCF Formula

Least Common Multiple of 66,278 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 66,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,278) = 2

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

GCF(66,278) x common factors =2 x 1 = 2

LCM(66,278) = ( 66 × 278 ) / 2

LCM(66,278) = 18348 / 2

LCM(66,278) = 9174


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 435/66, 201/278

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 435/66, 201/278?

Answer: GCF of Numerators as per given numbers 435/66, 201/278 is

GCF of Numerators i.e. for 435,201 is 3

LCM of denominators i.e. for 66,278 is 9174.

Thus, GCF of Fractions is 3/9174.Finally, GCF of Fractions for 435/66, 201/278 is 3/9174.