Greatest Common Factor of 224/764, 546/190, 345/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 224/764, 546/190, 345/383

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 224/764,546/190,345/383

Given fractions are 224/764,546/190,345/383

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 224,546,345

Greatest Common Factor of Numerators i.e. GCF of 224,546,345 is 1 .

LCM of Denominators means LCM of 764,190,383 as per the given fractions.

LCM of 764,190,383 is 27798140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 224,546,345

GCF of Fractions 224/764,546/190,345/383 is 1/27798140

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

Greatest Common Factor of 224,546,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,546,345 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 224,546,345 . The biggest common factor number is the GCF number.
So the greatest common factor 224,546,345 is 1.

Lets's calculate LCM of 764,190,383

2 764, 190, 383
382, 95, 383

∴ So the LCM of the given numbers is 2 x 382 x 95 x 383 = 27798140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27798140

Therefore, the GCF of Fractions 224/764,546/190,345/383 is 1/27798140

Least Common Multiple of 764,190,383 with GCF Formula

Least Common Multiple of 764,190,383 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 764,190,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,190,383) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(764,190,383) x common factors =1 x 2 = 2

LCM(764,190,383) = ( 764 × 190 × 383 ) / 2

LCM(764,190,383) = 55596280 / 2

LCM(764,190,383) = 27798140


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 224/764, 546/190, 345/383

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 224/764, 546/190, 345/383?

Answer: GCF of Numerators as per given numbers 224/764, 546/190, 345/383 is

GCF of Numerators i.e. for 224,546,345 is 1

LCM of denominators i.e. for 764,190,383 is 27798140.

Thus, GCF of Fractions is 1/27798140.Finally, GCF of Fractions for 224/764, 546/190, 345/383 is 1/27798140.