Greatest Common Factor of 55/106, 49/959, 415/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/106, 49/959, 415/841

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 55/106,49/959,415/841

Given fractions are 55/106,49/959,415/841

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 55,49,415

Greatest Common Factor of Numerators i.e. GCF of 55,49,415 is 1 .

LCM of Denominators means LCM of 106,959,841 as per the given fractions.

LCM of 106,959,841 is 85491014 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,49,415

GCF of Fractions 55/106,49/959,415/841 is 1/85491014

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

Greatest Common Factor of 55,49,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,49,415 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 415

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

1,5,83,415

Greatest Common Factor

We found the factors 55,49,415 . The biggest common factor number is the GCF number.
So the greatest common factor 55,49,415 is 1.

Lets's calculate LCM of 106,959,841

Given numbers has no common factors except 1. So, there LCM is their product i.e 85491014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85491014

Therefore, the GCF of Fractions 55/106,49/959,415/841 is 1/85491014

Least Common Multiple of 106,959,841 with GCF Formula

Least Common Multiple of 106,959,841 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 106,959,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,959,841) = 1

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

GCF(106,959,841) x common factors =1 x 1 = 1

LCM(106,959,841) = ( 106 × 959 × 841 ) / 1

LCM(106,959,841) = 85491014 / 1

LCM(106,959,841) = 85491014


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 55/106, 49/959, 415/841

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 55/106, 49/959, 415/841?

Answer: GCF of Numerators as per given numbers 55/106, 49/959, 415/841 is

GCF of Numerators i.e. for 55,49,415 is 1

LCM of denominators i.e. for 106,959,841 is 85491014.

Thus, GCF of Fractions is 1/85491014.Finally, GCF of Fractions for 55/106, 49/959, 415/841 is 1/85491014.