Greatest Common Factor of 46/49, 44/45, 551/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/49, 44/45, 551/858

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 46/49,44/45,551/858

Given fractions are 46/49,44/45,551/858

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 46,44,551

Greatest Common Factor of Numerators i.e. GCF of 46,44,551 is 1 .

LCM of Denominators means LCM of 49,45,858 as per the given fractions.

LCM of 49,45,858 is 630630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,44,551

GCF of Fractions 46/49,44/45,551/858 is 1/630630

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

Greatest Common Factor of 46,44,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,44,551 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Greatest Common Factor

We found the factors 46,44,551 . The biggest common factor number is the GCF number.
So the greatest common factor 46,44,551 is 1.

Lets's calculate LCM of 49,45,858

3 49, 45, 858
49, 15, 286

∴ So the LCM of the given numbers is 3 x 49 x 15 x 286 = 630630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630630

Therefore, the GCF of Fractions 46/49,44/45,551/858 is 1/630630

Least Common Multiple of 49,45,858 with GCF Formula

Least Common Multiple of 49,45,858 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 49,45,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,45,858) = 1

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

GCF(49,45,858) x common factors =1 x 3 = 3

LCM(49,45,858) = ( 49 × 45 × 858 ) / 3

LCM(49,45,858) = 1891890 / 3

LCM(49,45,858) = 630630


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 46/49, 44/45, 551/858

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 46/49, 44/45, 551/858?

Answer: GCF of Numerators as per given numbers 46/49, 44/45, 551/858 is

GCF of Numerators i.e. for 46,44,551 is 1

LCM of denominators i.e. for 49,45,858 is 630630.

Thus, GCF of Fractions is 1/630630.Finally, GCF of Fractions for 46/49, 44/45, 551/858 is 1/630630.