How to Find GCF of 2320/999, 2199/9862?

GCF of 2320/999, 2199/9862

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2320/999, 2199/9862 i.e 1/9852138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2320/999, 2199/9862.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2320/999,2199/9862?

Given fractions are 2320/999,2199/9862

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2320/999,2199/9862, numerators are 2320,2199

Denominators are 999,9862

The GCF of 2320,2199 is 1 .

LCM of 999,9862 is 9852138.

The greatest common factor of 2320/999,2199/9862 = [GCF of 2320,2199]/[LCM of 999,9862]= 1/9852138

Therefore, the GCF of 2320/999,2199/9862 is 1/9852138.

Greatest Common Factor of 2320,2199

To find the highest common factor of 2320,2199, we have to find the factors of both numbers and list the highest common factor.

The factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320

The factors of 2199 are 1, 3, 733, 2199

The HCF of 2320,2199 is 1.

Lets's calculate GCF of 2320,2199

Greatest Common Factor (GCF) of 2320,2199 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2320,2199 By Matching Biggest Common Factor Method

Now, list down the factors of 2320

1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320

Now, list down the factors of 2199

1,3,733,2199

Greatest Common Factor

We found the factors 2320,2199 . The biggest common factor number is the GCF number.
So the greatest common factor 2320,2199 is 1.

Lets's calculate LCM of 999,9862

Lowest Common Multiple of 999,9862 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9852138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9852138

Therefore, the GCF of Fractions 2320/999,2199/9862 is 1/9852138

Least Common Multiple of 999,9862 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 999,9862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,9862) = 1

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

GCF(999,9862) x common factors =1 x 1 = 1

LCM(999,9862) = ( 999 × 9862 ) / 1

LCM(999,9862) = 9852138 / 1

LCM(999,9862) = 9852138

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FAQs on GCF of Fractions of 2320/999, 2199/9862

1. What is the HCF of 2320,2199?

The HCF of 2320,2199 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 2320/999, 2199/9862?

Answer: GCF of Numerators as per given numbers 2320/999, 2199/9862 is

GCF of Numerators i.e. for 2320,2199 is 1

LCM of denominators i.e. for 999,9862 is 9852138.

Thus, GCF of Fractions is 1/9852138.Finally, GCF of Fractions for 2320/999, 2199/9862 is 1/9852138.