Greatest Common Factor of 34/52, 76/33, 214/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/52, 76/33, 214/401

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 34/52,76/33,214/401

Given fractions are 34/52,76/33,214/401

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 34,76,214

Greatest Common Factor of Numerators i.e. GCF of 34,76,214 is 2 .

LCM of Denominators means LCM of 52,33,401 as per the given fractions.

LCM of 52,33,401 is 688116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,76,214

GCF of Fractions 34/52,76/33,214/401 is 2/688116

2 34, 76, 214
17, 38, 107

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 34,76,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,76,214 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 34,76,214 . The biggest common factor number is the GCF number.
So the greatest common factor 34,76,214 is 2.

Lets's calculate LCM of 52,33,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 688116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/688116

Therefore, the GCF of Fractions 34/52,76/33,214/401 is 2/688116

Least Common Multiple of 52,33,401 with GCF Formula

Least Common Multiple of 52,33,401 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 52,33,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,33,401) = 1

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

GCF(52,33,401) x common factors =1 x 1 = 1

LCM(52,33,401) = ( 52 × 33 × 401 ) / 1

LCM(52,33,401) = 688116 / 1

LCM(52,33,401) = 688116


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 34/52, 76/33, 214/401

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 34/52, 76/33, 214/401?

Answer: GCF of Numerators as per given numbers 34/52, 76/33, 214/401 is

GCF of Numerators i.e. for 34,76,214 is 2

LCM of denominators i.e. for 52,33,401 is 688116.

Thus, GCF of Fractions is 2/688116.Finally, GCF of Fractions for 34/52, 76/33, 214/401 is 2/688116.