How to Find GCF of 2119/822, 7436/199?

GCF of 2119/822, 7436/199

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 2119/822, 7436/199 i.e 13/163578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2119/822, 7436/199.

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 2119/822,7436/199?

Given fractions are 2119/822,7436/199

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 2119/822,7436/199, numerators are 2119,7436

Denominators are 822,199

The GCF of 2119,7436 is 13 .

LCM of 822,199 is 163578.

The greatest common factor of 2119/822,7436/199 = [GCF of 2119,7436]/[LCM of 822,199]= 13/163578

Therefore, the GCF of 2119/822,7436/199 is 13/163578.

Greatest Common Factor of 2119,7436

To find the highest common factor of 2119,7436, we have to find the factors of both numbers and list the highest common factor.

The factors of 2119 are 1, 13, 163, 2119

The factors of 7436 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436

The HCF of 2119,7436 is 13.

Lets's calculate GCF of 2119,7436

Greatest Common Factor (GCF) of 2119,7436 By Common Division

13	2119, 7436
	163, 572

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 2119,7436 By Matching Biggest Common Factor Method

Now, list down the factors of 2119

1,13,163,2119

Now, list down the factors of 7436

1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436

Greatest Common Factor

We found the factors 2119,7436 . The biggest common factor number is the GCF number.
So the greatest common factor 2119,7436 is 13.

Lets's calculate LCM of 822,199

Lowest Common Multiple of 822,199 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 163578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/163578

Therefore, the GCF of Fractions 2119/822,7436/199 is 13/163578

Least Common Multiple of 822,199 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 822,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,199) = 1

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

GCF(822,199) x common factors =1 x 1 = 1

LCM(822,199) = ( 822 × 199 ) / 1

LCM(822,199) = 163578 / 1

LCM(822,199) = 163578

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2119/822, 7436/199

1. What is the HCF of 2119,7436?

The HCF of 2119,7436 is 13

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 2119/822, 7436/199?

Answer: GCF of Numerators as per given numbers 2119/822, 7436/199 is

GCF of Numerators i.e. for 2119,7436 is 13

LCM of denominators i.e. for 822,199 is 163578.

Thus, GCF of Fractions is 13/163578.Finally, GCF of Fractions for 2119/822, 7436/199 is 13/163578.