Greatest Common Factor of 275/17, 434/79, 458/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 275/17, 434/79, 458/495

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 275/17,434/79,458/495

Given fractions are 275/17,434/79,458/495

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 275,434,458

Greatest Common Factor of Numerators i.e. GCF of 275,434,458 is 1 .

LCM of Denominators means LCM of 17,79,495 as per the given fractions.

LCM of 17,79,495 is 664785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 275,434,458

GCF of Fractions 275/17,434/79,458/495 is 1/664785

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

Greatest Common Factor of 275,434,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,434,458 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 275,434,458 . The biggest common factor number is the GCF number.
So the greatest common factor 275,434,458 is 1.

Lets's calculate LCM of 17,79,495

Given numbers has no common factors except 1. So, there LCM is their product i.e 664785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/664785

Therefore, the GCF of Fractions 275/17,434/79,458/495 is 1/664785

Least Common Multiple of 17,79,495 with GCF Formula

Least Common Multiple of 17,79,495 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 17,79,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,79,495) = 1

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

GCF(17,79,495) x common factors =1 x 1 = 1

LCM(17,79,495) = ( 17 × 79 × 495 ) / 1

LCM(17,79,495) = 664785 / 1

LCM(17,79,495) = 664785


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 275/17, 434/79, 458/495

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 275/17, 434/79, 458/495?

Answer: GCF of Numerators as per given numbers 275/17, 434/79, 458/495 is

GCF of Numerators i.e. for 275,434,458 is 1

LCM of denominators i.e. for 17,79,495 is 664785.

Thus, GCF of Fractions is 1/664785.Finally, GCF of Fractions for 275/17, 434/79, 458/495 is 1/664785.