Greatest Common Factor of 49/34, 23/56, 722/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/34, 23/56, 722/585

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 49/34,23/56,722/585

Given fractions are 49/34,23/56,722/585

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 49,23,722

Greatest Common Factor of Numerators i.e. GCF of 49,23,722 is 1 .

LCM of Denominators means LCM of 34,56,585 as per the given fractions.

LCM of 34,56,585 is 556920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,23,722

GCF of Fractions 49/34,23/56,722/585 is 1/556920

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

Greatest Common Factor of 49,23,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,23,722 By Matching Biggest Common Factor Method

Factors of 49

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

1,7,49

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 49,23,722 . The biggest common factor number is the GCF number.
So the greatest common factor 49,23,722 is 1.

Lets's calculate LCM of 34,56,585

2 34, 56, 585
17, 28, 585

∴ So the LCM of the given numbers is 2 x 17 x 28 x 585 = 556920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/556920

Therefore, the GCF of Fractions 49/34,23/56,722/585 is 1/556920

Least Common Multiple of 34,56,585 with GCF Formula

Least Common Multiple of 34,56,585 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 34,56,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,56,585) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,56,585) x common factors =1 x 2 = 2

LCM(34,56,585) = ( 34 × 56 × 585 ) / 2

LCM(34,56,585) = 1113840 / 2

LCM(34,56,585) = 556920


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 49/34, 23/56, 722/585

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 49/34, 23/56, 722/585?

Answer: GCF of Numerators as per given numbers 49/34, 23/56, 722/585 is

GCF of Numerators i.e. for 49,23,722 is 1

LCM of denominators i.e. for 34,56,585 is 556920.

Thus, GCF of Fractions is 1/556920.Finally, GCF of Fractions for 49/34, 23/56, 722/585 is 1/556920.