Greatest Common Factor of 61/435, 90/686, 590/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 61/435, 90/686, 590/867

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 61/435,90/686,590/867

Given fractions are 61/435,90/686,590/867

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 61,90,590

Greatest Common Factor of Numerators i.e. GCF of 61,90,590 is 1 .

LCM of Denominators means LCM of 435,686,867 as per the given fractions.

LCM of 435,686,867 is 86240490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,90,590

GCF of Fractions 61/435,90/686,590/867 is 1/86240490

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

Greatest Common Factor of 61,90,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,90,590 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 61,90,590 . The biggest common factor number is the GCF number.
So the greatest common factor 61,90,590 is 1.


Lets's calculate LCM of 435,686,867

3 435, 686, 867
145, 686, 289

∴ So the LCM of the given numbers is 3 x 145 x 686 x 289 = 86240490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86240490

Therefore, the GCF of Fractions 61/435,90/686,590/867 is 1/86240490

Least Common Multiple of 435,686,867 with GCF Formula

Least Common Multiple of 435,686,867 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 435,686,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,686,867) = 1

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

GCF(435,686,867) x common factors =1 x 3 = 3

LCM(435,686,867) = ( 435 × 686 × 867 ) / 3

LCM(435,686,867) = 258721470 / 3

LCM(435,686,867) = 86240490


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 61/435, 90/686, 590/867

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 61/435, 90/686, 590/867?

Answer: GCF of Numerators as per given numbers 61/435, 90/686, 590/867 is

GCF of Numerators i.e. for 61,90,590 is 1

LCM of denominators i.e. for 435,686,867 is 86240490.

Thus, GCF of Fractions is 1/86240490.Finally, GCF of Fractions for 61/435, 90/686, 590/867 is 1/86240490.