Greatest Common Factor of 6468/86, 2450/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6468/86, 2450/423

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 6468/86,2450/423

Given fractions are 6468/86,2450/423

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 6468,2450

Greatest Common Factor of Numerators i.e. GCF of 6468,2450 is 98 .

LCM of Denominators means LCM of 86,423 as per the given fractions.

LCM of 86,423 is 36378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6468,2450

GCF of Fractions 6468/86,2450/423 is 98/36378

2 6468, 2450
7 3234, 1225
7 462, 175
66, 25

∴ So the GCF of the given numbers is 2 x 7 x 7 = 98

Greatest Common Factor of 6468,2450 By Matching Biggest Common Factor Method

Greatest Common Factor of 6468,2450 By Matching Biggest Common Factor Method

Factors of 6468

List of positive integer factors of 6468 that divides 6468 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468

Factors of 2450

List of positive integer factors of 2450 that divides 2450 without a remainder.

1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450

Greatest Common Factor

We found the factors 6468,2450 . The biggest common factor number is the GCF number.
So the greatest common factor 6468,2450 is 98.

Lets's calculate LCM of 86,423

Given numbers has no common factors except 1. So, there LCM is their product i.e 36378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 98/36378

Therefore, the GCF of Fractions 6468/86,2450/423 is 98/36378

Least Common Multiple of 86,423 with GCF Formula

Least Common Multiple of 86,423 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 86,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,423) = 1

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

GCF(86,423) x common factors =1 x 1 = 1

LCM(86,423) = ( 86 × 423 ) / 1

LCM(86,423) = 36378 / 1

LCM(86,423) = 36378


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 6468/86, 2450/423

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 6468/86, 2450/423?

Answer: GCF of Numerators as per given numbers 6468/86, 2450/423 is

GCF of Numerators i.e. for 6468,2450 is 98

LCM of denominators i.e. for 86,423 is 36378.

Thus, GCF of Fractions is 98/36378.Finally, GCF of Fractions for 6468/86, 2450/423 is 98/36378.