Greatest Common Factor of 882/224, 8184/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 882/224, 8184/712

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 882/224,8184/712

Given fractions are 882/224,8184/712

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 882,8184

Greatest Common Factor of Numerators i.e. GCF of 882,8184 is 6 .

LCM of Denominators means LCM of 224,712 as per the given fractions.

LCM of 224,712 is 19936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 882,8184

GCF of Fractions 882/224,8184/712 is 6/19936

2 882, 8184
3 441, 4092
147, 1364

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 882,8184 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,8184 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 8184

List of positive integer factors of 8184 that divides 8184 without a remainder.

1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184

Greatest Common Factor

We found the factors 882,8184 . The biggest common factor number is the GCF number.
So the greatest common factor 882,8184 is 6.

Lets's calculate LCM of 224,712

2 224, 712
2 112, 356
2 56, 178
28, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 28 x 89 = 19936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/19936

Therefore, the GCF of Fractions 882/224,8184/712 is 6/19936

Least Common Multiple of 224,712 with GCF Formula

Least Common Multiple of 224,712 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 224,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,712) = 8

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

GCF(224,712) x common factors =8 x 1 = 8

LCM(224,712) = ( 224 × 712 ) / 8

LCM(224,712) = 159488 / 8

LCM(224,712) = 19936


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 882/224, 8184/712

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 882/224, 8184/712?

Answer: GCF of Numerators as per given numbers 882/224, 8184/712 is

GCF of Numerators i.e. for 882,8184 is 6

LCM of denominators i.e. for 224,712 is 19936.

Thus, GCF of Fractions is 6/19936.Finally, GCF of Fractions for 882/224, 8184/712 is 6/19936.