Greatest Common Factor of 440/354, 9740/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/354, 9740/358

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 440/354,9740/358

Given fractions are 440/354,9740/358

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 440,9740

Greatest Common Factor of Numerators i.e. GCF of 440,9740 is 20 .

LCM of Denominators means LCM of 354,358 as per the given fractions.

LCM of 354,358 is 63366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,9740

GCF of Fractions 440/354,9740/358 is 20/63366

2 440, 9740
2 220, 4870
5 110, 2435
22, 487

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 440,9740 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,9740 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 9740

List of positive integer factors of 9740 that divides 9740 without a remainder.

1,2,4,5,10,20,487,974,1948,2435,4870,9740

Greatest Common Factor

We found the factors 440,9740 . The biggest common factor number is the GCF number.
So the greatest common factor 440,9740 is 20.

Lets's calculate LCM of 354,358

2 354, 358
177, 179

∴ So the LCM of the given numbers is 2 x 177 x 179 = 63366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/63366

Therefore, the GCF of Fractions 440/354,9740/358 is 20/63366

Least Common Multiple of 354,358 with GCF Formula

Least Common Multiple of 354,358 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 354,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,358) = 2

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

GCF(354,358) x common factors =2 x 1 = 2

LCM(354,358) = ( 354 × 358 ) / 2

LCM(354,358) = 126732 / 2

LCM(354,358) = 63366


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, 9740/358

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, 9740/358?

Answer: GCF of Numerators as per given numbers 440/354, 9740/358 is

GCF of Numerators i.e. for 440,9740 is 20

LCM of denominators i.e. for 354,358 is 63366.

Thus, GCF of Fractions is 20/63366.Finally, GCF of Fractions for 440/354, 9740/358 is 20/63366.