Greatest Common Factor of 435/20, 445/61, 794/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/20, 445/61, 794/427

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 435/20,445/61,794/427

Given fractions are 435/20,445/61,794/427

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 435,445,794

Greatest Common Factor of Numerators i.e. GCF of 435,445,794 is 1 .

LCM of Denominators means LCM of 20,61,427 as per the given fractions.

LCM of 20,61,427 is 8540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,445,794

GCF of Fractions 435/20,445/61,794/427 is 1/8540

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

Greatest Common Factor of 435,445,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,445,794 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 435,445,794 . The biggest common factor number is the GCF number.
So the greatest common factor 435,445,794 is 1.

Lets's calculate LCM of 20,61,427

61 20, 61, 427
20, 1, 7

∴ So the LCM of the given numbers is 61 x 20 x 1 x 7 = 8540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8540

Therefore, the GCF of Fractions 435/20,445/61,794/427 is 1/8540

Least Common Multiple of 20,61,427 with GCF Formula

Least Common Multiple of 20,61,427 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 20,61,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,61,427) = 1

common factors(in case of two or more numbers have common factors) = 61

GCF(20,61,427) x common factors =1 x 61 = 61

LCM(20,61,427) = ( 20 × 61 × 427 ) / 61

LCM(20,61,427) = 520940 / 61

LCM(20,61,427) = 8540


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 435/20, 445/61, 794/427

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 435/20, 445/61, 794/427?

Answer: GCF of Numerators as per given numbers 435/20, 445/61, 794/427 is

GCF of Numerators i.e. for 435,445,794 is 1

LCM of denominators i.e. for 20,61,427 is 8540.

Thus, GCF of Fractions is 1/8540.Finally, GCF of Fractions for 435/20, 445/61, 794/427 is 1/8540.