Greatest Common Factor of 3122/214, 9424/9997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3122/214, 9424/9997

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 3122/214,9424/9997

Given fractions are 3122/214,9424/9997

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 3122,9424

Greatest Common Factor of Numerators i.e. GCF of 3122,9424 is 2 .

LCM of Denominators means LCM of 214,9997 as per the given fractions.

LCM of 214,9997 is 2139358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3122,9424

GCF of Fractions 3122/214,9424/9997 is 2/2139358

2 3122, 9424
1561, 4712

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

Greatest Common Factor of 3122,9424 By Matching Biggest Common Factor Method

Greatest Common Factor of 3122,9424 By Matching Biggest Common Factor Method

Factors of 3122

List of positive integer factors of 3122 that divides 3122 without a remainder.

1,2,7,14,223,446,1561,3122

Factors of 9424

List of positive integer factors of 9424 that divides 9424 without a remainder.

1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424

Greatest Common Factor

We found the factors 3122,9424 . The biggest common factor number is the GCF number.
So the greatest common factor 3122,9424 is 2.

Lets's calculate LCM of 214,9997

Given numbers has no common factors except 1. So, there LCM is their product i.e 2139358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2139358

Therefore, the GCF of Fractions 3122/214,9424/9997 is 2/2139358

Least Common Multiple of 214,9997 with GCF Formula

Least Common Multiple of 214,9997 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 214,9997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,9997) = 1

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

GCF(214,9997) x common factors =1 x 1 = 1

LCM(214,9997) = ( 214 × 9997 ) / 1

LCM(214,9997) = 2139358 / 1

LCM(214,9997) = 2139358


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 3122/214, 9424/9997

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 3122/214, 9424/9997?

Answer: GCF of Numerators as per given numbers 3122/214, 9424/9997 is

GCF of Numerators i.e. for 3122,9424 is 2

LCM of denominators i.e. for 214,9997 is 2139358.

Thus, GCF of Fractions is 2/2139358.Finally, GCF of Fractions for 3122/214, 9424/9997 is 2/2139358.