Greatest Common Factor of 386/80, 804/28, 784/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 386/80, 804/28, 784/920

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 386/80,804/28,784/920

Given fractions are 386/80,804/28,784/920

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 386,804,784

Greatest Common Factor of Numerators i.e. GCF of 386,804,784 is 2 .

LCM of Denominators means LCM of 80,28,920 as per the given fractions.

LCM of 80,28,920 is 12880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 386,804,784

GCF of Fractions 386/80,804/28,784/920 is 2/12880

2 386, 804, 784
193, 402, 392

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

Greatest Common Factor of 386,804,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,804,784 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 386,804,784 . The biggest common factor number is the GCF number.
So the greatest common factor 386,804,784 is 2.

Lets's calculate LCM of 80,28,920

2 80, 28, 920
2 40, 14, 460
2 20, 7, 230
5 10, 7, 115
2, 7, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 2 x 7 x 23 = 12880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12880

Therefore, the GCF of Fractions 386/80,804/28,784/920 is 2/12880

Least Common Multiple of 80,28,920 with GCF Formula

Least Common Multiple of 80,28,920 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 80,28,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,28,920) = 4

common factors(in case of two or more numbers have common factors) = 40

GCF(80,28,920) x common factors =4 x 40 = 160

LCM(80,28,920) = ( 80 × 28 × 920 ) / 160

LCM(80,28,920) = 2060800 / 160

LCM(80,28,920) = 12880


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 386/80, 804/28, 784/920

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 386/80, 804/28, 784/920?

Answer: GCF of Numerators as per given numbers 386/80, 804/28, 784/920 is

GCF of Numerators i.e. for 386,804,784 is 2

LCM of denominators i.e. for 80,28,920 is 12880.

Thus, GCF of Fractions is 2/12880.Finally, GCF of Fractions for 386/80, 804/28, 784/920 is 2/12880.