Greatest Common Factor of 1680/520, 1028/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1680/520, 1028/862

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 1680/520,1028/862

Given fractions are 1680/520,1028/862

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 1680,1028

Greatest Common Factor of Numerators i.e. GCF of 1680,1028 is 4 .

LCM of Denominators means LCM of 520,862 as per the given fractions.

LCM of 520,862 is 224120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1680,1028

GCF of Fractions 1680/520,1028/862 is 4/224120

2 1680, 1028
2 840, 514
420, 257

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1680,1028 By Matching Biggest Common Factor Method

Greatest Common Factor of 1680,1028 By Matching Biggest Common Factor Method

Factors of 1680

List of positive integer factors of 1680 that divides 1680 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,35,40,42,48,56,60,70,80,84,105,112,120,140,168,210,240,280,336,420,560,840,1680

Factors of 1028

List of positive integer factors of 1028 that divides 1028 without a remainder.

1,2,4,257,514,1028

Greatest Common Factor

We found the factors 1680,1028 . The biggest common factor number is the GCF number.
So the greatest common factor 1680,1028 is 4.

Lets's calculate LCM of 520,862

2 520, 862
260, 431

∴ So the LCM of the given numbers is 2 x 260 x 431 = 224120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/224120

Therefore, the GCF of Fractions 1680/520,1028/862 is 4/224120

Least Common Multiple of 520,862 with GCF Formula

Least Common Multiple of 520,862 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 520,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,862) = 2

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

GCF(520,862) x common factors =2 x 1 = 2

LCM(520,862) = ( 520 × 862 ) / 2

LCM(520,862) = 448240 / 2

LCM(520,862) = 224120


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 1680/520, 1028/862

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 1680/520, 1028/862?

Answer: GCF of Numerators as per given numbers 1680/520, 1028/862 is

GCF of Numerators i.e. for 1680,1028 is 4

LCM of denominators i.e. for 520,862 is 224120.

Thus, GCF of Fractions is 4/224120.Finally, GCF of Fractions for 1680/520, 1028/862 is 4/224120.