Greatest Common Factor of 497/69, 840/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 497/69, 840/362

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 497/69,840/362

Given fractions are 497/69,840/362

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 497,840

Greatest Common Factor of Numerators i.e. GCF of 497,840 is 7 .

LCM of Denominators means LCM of 69,362 as per the given fractions.

LCM of 69,362 is 24978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 497,840

GCF of Fractions 497/69,840/362 is 7/24978

7 497, 840
71, 120

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 497,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,840 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 497,840 . The biggest common factor number is the GCF number.
So the greatest common factor 497,840 is 7.

Lets's calculate LCM of 69,362

Given numbers has no common factors except 1. So, there LCM is their product i.e 24978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/24978

Therefore, the GCF of Fractions 497/69,840/362 is 7/24978

Least Common Multiple of 69,362 with GCF Formula

Least Common Multiple of 69,362 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 69,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,362) = 1

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

GCF(69,362) x common factors =1 x 1 = 1

LCM(69,362) = ( 69 × 362 ) / 1

LCM(69,362) = 24978 / 1

LCM(69,362) = 24978


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 497/69, 840/362

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 497/69, 840/362?

Answer: GCF of Numerators as per given numbers 497/69, 840/362 is

GCF of Numerators i.e. for 497,840 is 7

LCM of denominators i.e. for 69,362 is 24978.

Thus, GCF of Fractions is 7/24978.Finally, GCF of Fractions for 497/69, 840/362 is 7/24978.