Greatest Common Factor of 34/55, 41/91, 465/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/55, 41/91, 465/910

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 34/55,41/91,465/910

Given fractions are 34/55,41/91,465/910

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 34,41,465

Greatest Common Factor of Numerators i.e. GCF of 34,41,465 is 1 .

LCM of Denominators means LCM of 55,91,910 as per the given fractions.

LCM of 55,91,910 is 10010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,41,465

GCF of Fractions 34/55,41/91,465/910 is 1/10010

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

Greatest Common Factor of 34,41,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,41,465 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 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 34,41,465 . The biggest common factor number is the GCF number.
So the greatest common factor 34,41,465 is 1.

Lets's calculate LCM of 55,91,910

5 55, 91, 910
7 11, 91, 182
13 11, 13, 26
11, 1, 2

∴ So the LCM of the given numbers is 5 x 7 x 13 x 11 x 1 x 2 = 10010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10010

Therefore, the GCF of Fractions 34/55,41/91,465/910 is 1/10010

Least Common Multiple of 55,91,910 with GCF Formula

Least Common Multiple of 55,91,910 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 55,91,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,91,910) = 1

common factors(in case of two or more numbers have common factors) = 455

GCF(55,91,910) x common factors =1 x 455 = 455

LCM(55,91,910) = ( 55 × 91 × 910 ) / 455

LCM(55,91,910) = 4554550 / 455

LCM(55,91,910) = 10010


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 34/55, 41/91, 465/910

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 34/55, 41/91, 465/910?

Answer: GCF of Numerators as per given numbers 34/55, 41/91, 465/910 is

GCF of Numerators i.e. for 34,41,465 is 1

LCM of denominators i.e. for 55,91,910 is 10010.

Thus, GCF of Fractions is 1/10010.Finally, GCF of Fractions for 34/55, 41/91, 465/910 is 1/10010.