Greatest Common Factor of 654/44, 183/67, 433/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 654/44, 183/67, 433/603

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 654/44,183/67,433/603

Given fractions are 654/44,183/67,433/603

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 654,183,433

Greatest Common Factor of Numerators i.e. GCF of 654,183,433 is 1 .

LCM of Denominators means LCM of 44,67,603 as per the given fractions.

LCM of 44,67,603 is 26532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,183,433

GCF of Fractions 654/44,183/67,433/603 is 1/26532

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

Greatest Common Factor of 654,183,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,183,433 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 654,183,433 . The biggest common factor number is the GCF number.
So the greatest common factor 654,183,433 is 1.

Lets's calculate LCM of 44,67,603

67 44, 67, 603
44, 1, 9

∴ So the LCM of the given numbers is 67 x 44 x 1 x 9 = 26532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26532

Therefore, the GCF of Fractions 654/44,183/67,433/603 is 1/26532

Least Common Multiple of 44,67,603 with GCF Formula

Least Common Multiple of 44,67,603 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 44,67,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,67,603) = 1

common factors(in case of two or more numbers have common factors) = 67

GCF(44,67,603) x common factors =1 x 67 = 67

LCM(44,67,603) = ( 44 × 67 × 603 ) / 67

LCM(44,67,603) = 1777644 / 67

LCM(44,67,603) = 26532


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 654/44, 183/67, 433/603

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 654/44, 183/67, 433/603?

Answer: GCF of Numerators as per given numbers 654/44, 183/67, 433/603 is

GCF of Numerators i.e. for 654,183,433 is 1

LCM of denominators i.e. for 44,67,603 is 26532.

Thus, GCF of Fractions is 1/26532.Finally, GCF of Fractions for 654/44, 183/67, 433/603 is 1/26532.