How to Find GCF of 2436/712, 2698/789?

GCF of 2436/712, 2698/789

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 2436/712, 2698/789 i.e 2/561768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2436/712, 2698/789.

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 2436/712,2698/789?

Given fractions are 2436/712,2698/789

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 2436/712,2698/789, numerators are 2436,2698

Denominators are 712,789

The GCF of 2436,2698 is 2 .

LCM of 712,789 is 561768.

The greatest common factor of 2436/712,2698/789 = [GCF of 2436,2698]/[LCM of 712,789]= 2/561768

Therefore, the GCF of 2436/712,2698/789 is 2/561768.

Greatest Common Factor of 2436,2698

To find the highest common factor of 2436,2698, we have to find the factors of both numbers and list the highest common factor.

The factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436

The factors of 2698 are 1, 2, 19, 38, 71, 142, 1349, 2698

The HCF of 2436,2698 is 2.

Lets's calculate GCF of 2436,2698

Greatest Common Factor (GCF) of 2436,2698 By Common Division

2	2436, 2698
	1218, 1349

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

Greatest Common Factor of 2436,2698 By Matching Biggest Common Factor Method

Now, list down the factors of 2436

1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436

Now, list down the factors of 2698

1,2,19,38,71,142,1349,2698

Greatest Common Factor

We found the factors 2436,2698 . The biggest common factor number is the GCF number.
So the greatest common factor 2436,2698 is 2.

Lets's calculate LCM of 712,789

Lowest Common Multiple of 712,789 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 561768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/561768

Therefore, the GCF of Fractions 2436/712,2698/789 is 2/561768

Least Common Multiple of 712,789 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 712,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,789) = 1

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

GCF(712,789) x common factors =1 x 1 = 1

LCM(712,789) = ( 712 × 789 ) / 1

LCM(712,789) = 561768 / 1

LCM(712,789) = 561768

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2436/712, 2698/789

1. What is the HCF of 2436,2698?

The HCF of 2436,2698 is 2

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 2436/712, 2698/789?

Answer: GCF of Numerators as per given numbers 2436/712, 2698/789 is

GCF of Numerators i.e. for 2436,2698 is 2

LCM of denominators i.e. for 712,789 is 561768.

Thus, GCF of Fractions is 2/561768.Finally, GCF of Fractions for 2436/712, 2698/789 is 2/561768.