Greatest Common Factor of 346/490, 2046/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 346/490, 2046/690

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 346/490,2046/690

Given fractions are 346/490,2046/690

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 346,2046

Greatest Common Factor of Numerators i.e. GCF of 346,2046 is 2 .

LCM of Denominators means LCM of 490,690 as per the given fractions.

LCM of 490,690 is 33810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 346,2046

GCF of Fractions 346/490,2046/690 is 2/33810

2 346, 2046
173, 1023

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 346,2046 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,2046 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 2046

List of positive integer factors of 2046 that divides 2046 without a remainder.

1,2,3,6,11,22,31,33,62,66,93,186,341,682,1023,2046

Greatest Common Factor

We found the factors 346,2046 . The biggest common factor number is the GCF number.
So the greatest common factor 346,2046 is 2.


Lets's calculate LCM of 490,690

2 490, 690
5 245, 345
49, 69

∴ So the LCM of the given numbers is 2 x 5 x 49 x 69 = 33810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33810

Therefore, the GCF of Fractions 346/490,2046/690 is 2/33810

Least Common Multiple of 490,690 with GCF Formula

Least Common Multiple of 490,690 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 490,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,690) = 10

common factors(in case of two or more numbers have common factors) = 1

GCF(490,690) x common factors =10 x 1 = 10

LCM(490,690) = ( 490 × 690 ) / 10

LCM(490,690) = 338100 / 10

LCM(490,690) = 33810


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 346/490, 2046/690

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 346/490, 2046/690?

Answer: GCF of Numerators as per given numbers 346/490, 2046/690 is

GCF of Numerators i.e. for 346,2046 is 2

LCM of denominators i.e. for 490,690 is 33810.

Thus, GCF of Fractions is 2/33810.Finally, GCF of Fractions for 346/490, 2046/690 is 2/33810.