Greatest Common Factor of 490/386, 705/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 490/386, 705/813

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 490/386,705/813

Given fractions are 490/386,705/813

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 490,705

Greatest Common Factor of Numerators i.e. GCF of 490,705 is 5 .

LCM of Denominators means LCM of 386,813 as per the given fractions.

LCM of 386,813 is 313818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 490,705

GCF of Fractions 490/386,705/813 is 5/313818

5 490, 705
98, 141

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 490,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,705 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 490,705 . The biggest common factor number is the GCF number.
So the greatest common factor 490,705 is 5.

Lets's calculate LCM of 386,813

Given numbers has no common factors except 1. So, there LCM is their product i.e 313818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/313818

Therefore, the GCF of Fractions 490/386,705/813 is 5/313818

Least Common Multiple of 386,813 with GCF Formula

Least Common Multiple of 386,813 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 386,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,813) = 1

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

GCF(386,813) x common factors =1 x 1 = 1

LCM(386,813) = ( 386 × 813 ) / 1

LCM(386,813) = 313818 / 1

LCM(386,813) = 313818


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 490/386, 705/813

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 490/386, 705/813?

Answer: GCF of Numerators as per given numbers 490/386, 705/813 is

GCF of Numerators i.e. for 490,705 is 5

LCM of denominators i.e. for 386,813 is 313818.

Thus, GCF of Fractions is 5/313818.Finally, GCF of Fractions for 490/386, 705/813 is 5/313818.