Greatest Common Factor of 460/892, 1726/8944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 460/892, 1726/8944

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 460/892,1726/8944

Given fractions are 460/892,1726/8944

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 460,1726

Greatest Common Factor of Numerators i.e. GCF of 460,1726 is 2 .

LCM of Denominators means LCM of 892,8944 as per the given fractions.

LCM of 892,8944 is 1994512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 460,1726

GCF of Fractions 460/892,1726/8944 is 2/1994512

2 460, 1726
230, 863

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

Greatest Common Factor of 460,1726 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,1726 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 1726

List of positive integer factors of 1726 that divides 1726 without a remainder.

1,2,863,1726

Greatest Common Factor

We found the factors 460,1726 . The biggest common factor number is the GCF number.
So the greatest common factor 460,1726 is 2.

Lets's calculate LCM of 892,8944

2 892, 8944
2 446, 4472
223, 2236

∴ So the LCM of the given numbers is 2 x 2 x 223 x 2236 = 1994512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1994512

Therefore, the GCF of Fractions 460/892,1726/8944 is 2/1994512

Least Common Multiple of 892,8944 with GCF Formula

Least Common Multiple of 892,8944 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 892,8944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,8944) = 4

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

GCF(892,8944) x common factors =4 x 1 = 4

LCM(892,8944) = ( 892 × 8944 ) / 4

LCM(892,8944) = 7978048 / 4

LCM(892,8944) = 1994512


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 460/892, 1726/8944

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 460/892, 1726/8944?

Answer: GCF of Numerators as per given numbers 460/892, 1726/8944 is

GCF of Numerators i.e. for 460,1726 is 2

LCM of denominators i.e. for 892,8944 is 1994512.

Thus, GCF of Fractions is 2/1994512.Finally, GCF of Fractions for 460/892, 1726/8944 is 2/1994512.