Greatest Common Factor of 319/4480, 899/8580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 319/4480, 899/8580

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 319/4480,899/8580

Given fractions are 319/4480,899/8580

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 319,899

Greatest Common Factor of Numerators i.e. GCF of 319,899 is 29 .

LCM of Denominators means LCM of 4480,8580 as per the given fractions.

LCM of 4480,8580 is 1921920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 319,899

GCF of Fractions 319/4480,899/8580 is 29/1921920

29 319, 899
11, 31

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 319,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,899 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 319,899 . The biggest common factor number is the GCF number.
So the greatest common factor 319,899 is 29.

Lets's calculate LCM of 4480,8580

2 4480, 8580
2 2240, 4290
5 1120, 2145
224, 429

∴ So the LCM of the given numbers is 2 x 2 x 5 x 224 x 429 = 1921920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/1921920

Therefore, the GCF of Fractions 319/4480,899/8580 is 29/1921920

Least Common Multiple of 4480,8580 with GCF Formula

Least Common Multiple of 4480,8580 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 4480,8580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4480,8580) = 20

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

GCF(4480,8580) x common factors =20 x 1 = 20

LCM(4480,8580) = ( 4480 × 8580 ) / 20

LCM(4480,8580) = 38438400 / 20

LCM(4480,8580) = 1921920


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 319/4480, 899/8580

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 319/4480, 899/8580?

Answer: GCF of Numerators as per given numbers 319/4480, 899/8580 is

GCF of Numerators i.e. for 319,899 is 29

LCM of denominators i.e. for 4480,8580 is 1921920.

Thus, GCF of Fractions is 29/1921920.Finally, GCF of Fractions for 319/4480, 899/8580 is 29/1921920.