Greatest Common Factor of 88/41, 66/49, 574/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/41, 66/49, 574/415

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 88/41,66/49,574/415

Given fractions are 88/41,66/49,574/415

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 88,66,574

Greatest Common Factor of Numerators i.e. GCF of 88,66,574 is 2 .

LCM of Denominators means LCM of 41,49,415 as per the given fractions.

LCM of 41,49,415 is 833735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,66,574

GCF of Fractions 88/41,66/49,574/415 is 2/833735

2 88, 66, 574
44, 33, 287

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 88,66,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,66,574 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 88,66,574 . The biggest common factor number is the GCF number.
So the greatest common factor 88,66,574 is 2.

Lets's calculate LCM of 41,49,415

Given numbers has no common factors except 1. So, there LCM is their product i.e 833735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/833735

Therefore, the GCF of Fractions 88/41,66/49,574/415 is 2/833735

Least Common Multiple of 41,49,415 with GCF Formula

Least Common Multiple of 41,49,415 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 41,49,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,49,415) = 1

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

GCF(41,49,415) x common factors =1 x 1 = 1

LCM(41,49,415) = ( 41 × 49 × 415 ) / 1

LCM(41,49,415) = 833735 / 1

LCM(41,49,415) = 833735


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 88/41, 66/49, 574/415

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 88/41, 66/49, 574/415?

Answer: GCF of Numerators as per given numbers 88/41, 66/49, 574/415 is

GCF of Numerators i.e. for 88,66,574 is 2

LCM of denominators i.e. for 41,49,415 is 833735.

Thus, GCF of Fractions is 2/833735.Finally, GCF of Fractions for 88/41, 66/49, 574/415 is 2/833735.