Greatest Common Factor of 6290/96, 6462/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6290/96, 6462/499

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 6290/96,6462/499

Given fractions are 6290/96,6462/499

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 6290,6462

Greatest Common Factor of Numerators i.e. GCF of 6290,6462 is 2 .

LCM of Denominators means LCM of 96,499 as per the given fractions.

LCM of 96,499 is 47904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6290,6462

GCF of Fractions 6290/96,6462/499 is 2/47904

2 6290, 6462
3145, 3231

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

Greatest Common Factor of 6290,6462 By Matching Biggest Common Factor Method

Greatest Common Factor of 6290,6462 By Matching Biggest Common Factor Method

Factors of 6290

List of positive integer factors of 6290 that divides 6290 without a remainder.

1,2,5,10,17,34,37,74,85,170,185,370,629,1258,3145,6290

Factors of 6462

List of positive integer factors of 6462 that divides 6462 without a remainder.

1,2,3,6,9,18,359,718,1077,2154,3231,6462

Greatest Common Factor

We found the factors 6290,6462 . The biggest common factor number is the GCF number.
So the greatest common factor 6290,6462 is 2.

Lets's calculate LCM of 96,499

Given numbers has no common factors except 1. So, there LCM is their product i.e 47904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47904

Therefore, the GCF of Fractions 6290/96,6462/499 is 2/47904

Least Common Multiple of 96,499 with GCF Formula

Least Common Multiple of 96,499 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 96,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,499) = 1

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

GCF(96,499) x common factors =1 x 1 = 1

LCM(96,499) = ( 96 × 499 ) / 1

LCM(96,499) = 47904 / 1

LCM(96,499) = 47904


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 6290/96, 6462/499

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 6290/96, 6462/499?

Answer: GCF of Numerators as per given numbers 6290/96, 6462/499 is

GCF of Numerators i.e. for 6290,6462 is 2

LCM of denominators i.e. for 96,499 is 47904.

Thus, GCF of Fractions is 2/47904.Finally, GCF of Fractions for 6290/96, 6462/499 is 2/47904.