Greatest Common Factor of 355/890, 292/434, 746/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 355/890, 292/434, 746/490

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 355/890,292/434,746/490

Given fractions are 355/890,292/434,746/490

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 355,292,746

Greatest Common Factor of Numerators i.e. GCF of 355,292,746 is 1 .

LCM of Denominators means LCM of 890,434,490 as per the given fractions.

LCM of 890,434,490 is 1351910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 355,292,746

GCF of Fractions 355/890,292/434,746/490 is 1/1351910

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

Greatest Common Factor of 355,292,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,292,746 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 355,292,746 . The biggest common factor number is the GCF number.
So the greatest common factor 355,292,746 is 1.

Lets's calculate LCM of 890,434,490

2 890, 434, 490
5 445, 217, 245
7 89, 217, 49
89, 31, 7

∴ So the LCM of the given numbers is 2 x 5 x 7 x 89 x 31 x 7 = 1351910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1351910

Therefore, the GCF of Fractions 355/890,292/434,746/490 is 1/1351910

Least Common Multiple of 890,434,490 with GCF Formula

Least Common Multiple of 890,434,490 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 890,434,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,434,490) = 2

common factors(in case of two or more numbers have common factors) = 70

GCF(890,434,490) x common factors =2 x 70 = 140

LCM(890,434,490) = ( 890 × 434 × 490 ) / 140

LCM(890,434,490) = 189267400 / 140

LCM(890,434,490) = 1351910


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 355/890, 292/434, 746/490

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 355/890, 292/434, 746/490?

Answer: GCF of Numerators as per given numbers 355/890, 292/434, 746/490 is

GCF of Numerators i.e. for 355,292,746 is 1

LCM of denominators i.e. for 890,434,490 is 1351910.

Thus, GCF of Fractions is 1/1351910.Finally, GCF of Fractions for 355/890, 292/434, 746/490 is 1/1351910.