Greatest Common Factor of 55/95, 415/87, 340/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/95, 415/87, 340/699

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 55/95,415/87,340/699

Given fractions are 55/95,415/87,340/699

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 55,415,340

Greatest Common Factor of Numerators i.e. GCF of 55,415,340 is 5 .

LCM of Denominators means LCM of 95,87,699 as per the given fractions.

LCM of 95,87,699 is 1925745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,415,340

GCF of Fractions 55/95,415/87,340/699 is 5/1925745

5 55, 415, 340
11, 83, 68

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 55,415,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,415,340 By Matching Biggest Common Factor Method

Factors of 55

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

1,5,11,55

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 55,415,340 . The biggest common factor number is the GCF number.
So the greatest common factor 55,415,340 is 5.

Lets's calculate LCM of 95,87,699

3 95, 87, 699
95, 29, 233

∴ So the LCM of the given numbers is 3 x 95 x 29 x 233 = 1925745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1925745

Therefore, the GCF of Fractions 55/95,415/87,340/699 is 5/1925745

Least Common Multiple of 95,87,699 with GCF Formula

Least Common Multiple of 95,87,699 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 95,87,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,87,699) = 1

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

GCF(95,87,699) x common factors =1 x 3 = 3

LCM(95,87,699) = ( 95 × 87 × 699 ) / 3

LCM(95,87,699) = 5777235 / 3

LCM(95,87,699) = 1925745


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 55/95, 415/87, 340/699

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 55/95, 415/87, 340/699?

Answer: GCF of Numerators as per given numbers 55/95, 415/87, 340/699 is

GCF of Numerators i.e. for 55,415,340 is 5

LCM of denominators i.e. for 95,87,699 is 1925745.

Thus, GCF of Fractions is 5/1925745.Finally, GCF of Fractions for 55/95, 415/87, 340/699 is 5/1925745.