Greatest Common Factor of 385/74, 735/34, 103/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/74, 735/34, 103/354

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 385/74,735/34,103/354

Given fractions are 385/74,735/34,103/354

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 385,735,103

Greatest Common Factor of Numerators i.e. GCF of 385,735,103 is 1 .

LCM of Denominators means LCM of 74,34,354 as per the given fractions.

LCM of 74,34,354 is 222666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,735,103

GCF of Fractions 385/74,735/34,103/354 is 1/222666

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

Greatest Common Factor of 385,735,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,735,103 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 385,735,103 . The biggest common factor number is the GCF number.
So the greatest common factor 385,735,103 is 1.

Lets's calculate LCM of 74,34,354

2 74, 34, 354
37, 17, 177

∴ So the LCM of the given numbers is 2 x 37 x 17 x 177 = 222666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222666

Therefore, the GCF of Fractions 385/74,735/34,103/354 is 1/222666

Least Common Multiple of 74,34,354 with GCF Formula

Least Common Multiple of 74,34,354 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 74,34,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,34,354) = 2

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

GCF(74,34,354) x common factors =2 x 2 = 4

LCM(74,34,354) = ( 74 × 34 × 354 ) / 4

LCM(74,34,354) = 890664 / 4

LCM(74,34,354) = 222666


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 385/74, 735/34, 103/354

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 385/74, 735/34, 103/354?

Answer: GCF of Numerators as per given numbers 385/74, 735/34, 103/354 is

GCF of Numerators i.e. for 385,735,103 is 1

LCM of denominators i.e. for 74,34,354 is 222666.

Thus, GCF of Fractions is 1/222666.Finally, GCF of Fractions for 385/74, 735/34, 103/354 is 1/222666.