Greatest Common Factor of 2/63, 55/68, 34/349, 453/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/63, 55/68, 34/349, 453/435

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 2/63,55/68,34/349,453/435

Given fractions are 2/63,55/68,34/349,453/435

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 2,55,34,453

Greatest Common Factor of Numerators i.e. GCF of 2,55,34,453 is 1 .

LCM of Denominators means LCM of 63,68,349,435 as per the given fractions.

LCM of 63,68,349,435 is 216791820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,55,34,453

GCF of Fractions 2/63,55/68,34/349,453/435 is 1/216791820

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

Greatest Common Factor of 2,55,34,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,55,34,453 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 34

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

1,2,17,34

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 2,55,34,453 . The biggest common factor number is the GCF number.
So the greatest common factor 2,55,34,453 is 1.

Lets's calculate LCM of 63,68,349,435

3 63, 68, 349, 435
21, 68, 349, 145

∴ So the LCM of the given numbers is 3 x 21 x 68 x 349 x 145 = 216791820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216791820

Therefore, the GCF of Fractions 2/63,55/68,34/349,453/435 is 1/216791820

Least Common Multiple of 63,68,349,435 with GCF Formula

Least Common Multiple of 63,68,349,435 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 63,68,349,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,68,349,435) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(63,68,349,435) x common factors =1 x 3 = 3

LCM(63,68,349,435) = ( 63 × 68 × 349 × 435 ) / 3

LCM(63,68,349,435) = 650375460 / 3

LCM(63,68,349,435) = 216791820


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 2/63, 55/68, 34/349, 453/435

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 2/63, 55/68, 34/349, 453/435?

Answer: GCF of Numerators as per given numbers 2/63, 55/68, 34/349, 453/435 is

GCF of Numerators i.e. for 2,55,34,453 is 1

LCM of denominators i.e. for 63,68,349,435 is 216791820.

Thus, GCF of Fractions is 1/216791820.Finally, GCF of Fractions for 2/63, 55/68, 34/349, 453/435 is 1/216791820.