Greatest Common Factor of 440/354, 526/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/354, 526/800

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 440/354,526/800

Given fractions are 440/354,526/800

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 440,526

Greatest Common Factor of Numerators i.e. GCF of 440,526 is 2 .

LCM of Denominators means LCM of 354,800 as per the given fractions.

LCM of 354,800 is 141600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,526

GCF of Fractions 440/354,526/800 is 2/141600

2 440, 526
220, 263

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

Greatest Common Factor of 440,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,526 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 440,526 . The biggest common factor number is the GCF number.
So the greatest common factor 440,526 is 2.

Lets's calculate LCM of 354,800

2 354, 800
177, 400

∴ So the LCM of the given numbers is 2 x 177 x 400 = 141600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/141600

Therefore, the GCF of Fractions 440/354,526/800 is 2/141600

Least Common Multiple of 354,800 with GCF Formula

Least Common Multiple of 354,800 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 354,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,800) = 2

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

GCF(354,800) x common factors =2 x 1 = 2

LCM(354,800) = ( 354 × 800 ) / 2

LCM(354,800) = 283200 / 2

LCM(354,800) = 141600


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 440/354, 526/800

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 440/354, 526/800?

Answer: GCF of Numerators as per given numbers 440/354, 526/800 is

GCF of Numerators i.e. for 440,526 is 2

LCM of denominators i.e. for 354,800 is 141600.

Thus, GCF of Fractions is 2/141600.Finally, GCF of Fractions for 440/354, 526/800 is 2/141600.