Greatest Common Factor of 3036/85, 7222/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3036/85, 7222/518

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 3036/85,7222/518

Given fractions are 3036/85,7222/518

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 3036,7222

Greatest Common Factor of Numerators i.e. GCF of 3036,7222 is 46 .

LCM of Denominators means LCM of 85,518 as per the given fractions.

LCM of 85,518 is 44030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3036,7222

GCF of Fractions 3036/85,7222/518 is 46/44030

2 3036, 7222
23 1518, 3611
66, 157

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 3036,7222 By Matching Biggest Common Factor Method

Greatest Common Factor of 3036,7222 By Matching Biggest Common Factor Method

Factors of 3036

List of positive integer factors of 3036 that divides 3036 without a remainder.

1,2,3,4,6,11,12,22,23,33,44,46,66,69,92,132,138,253,276,506,759,1012,1518,3036

Factors of 7222

List of positive integer factors of 7222 that divides 7222 without a remainder.

1,2,23,46,157,314,3611,7222

Greatest Common Factor

We found the factors 3036,7222 . The biggest common factor number is the GCF number.
So the greatest common factor 3036,7222 is 46.

Lets's calculate LCM of 85,518

Given numbers has no common factors except 1. So, there LCM is their product i.e 44030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/44030

Therefore, the GCF of Fractions 3036/85,7222/518 is 46/44030

Least Common Multiple of 85,518 with GCF Formula

Least Common Multiple of 85,518 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 85,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,518) = 1

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

GCF(85,518) x common factors =1 x 1 = 1

LCM(85,518) = ( 85 × 518 ) / 1

LCM(85,518) = 44030 / 1

LCM(85,518) = 44030


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 3036/85, 7222/518

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 3036/85, 7222/518?

Answer: GCF of Numerators as per given numbers 3036/85, 7222/518 is

GCF of Numerators i.e. for 3036,7222 is 46

LCM of denominators i.e. for 85,518 is 44030.

Thus, GCF of Fractions is 46/44030.Finally, GCF of Fractions for 3036/85, 7222/518 is 46/44030.