How to Find GCF of 8430/952, 1196/2721?

GCF of 8430/952, 1196/2721

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 8430/952, 1196/2721 i.e 2/2590392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8430/952, 1196/2721.

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 8430/952,1196/2721?

Given fractions are 8430/952,1196/2721

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 8430/952,1196/2721, numerators are 8430,1196

Denominators are 952,2721

The GCF of 8430,1196 is 2 .

LCM of 952,2721 is 2590392.

The greatest common factor of 8430/952,1196/2721 = [GCF of 8430,1196]/[LCM of 952,2721]= 2/2590392

Therefore, the GCF of 8430/952,1196/2721 is 2/2590392.

Greatest Common Factor of 8430,1196

To find the highest common factor of 8430,1196, we have to find the factors of both numbers and list the highest common factor.

The factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430

The factors of 1196 are 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196

The HCF of 8430,1196 is 2.

Lets's calculate GCF of 8430,1196

Greatest Common Factor (GCF) of 8430,1196 By Common Division

2	8430, 1196
	4215, 598

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

Greatest Common Factor of 8430,1196 By Matching Biggest Common Factor Method

Now, list down the factors of 8430

1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430

Now, list down the factors of 1196

1,2,4,13,23,26,46,52,92,299,598,1196

Greatest Common Factor

We found the factors 8430,1196 . The biggest common factor number is the GCF number.
So the greatest common factor 8430,1196 is 2.

Lets's calculate LCM of 952,2721

Lowest Common Multiple of 952,2721 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2590392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2590392

Therefore, the GCF of Fractions 8430/952,1196/2721 is 2/2590392

Least Common Multiple of 952,2721 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 952,2721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,2721) = 1

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

GCF(952,2721) x common factors =1 x 1 = 1

LCM(952,2721) = ( 952 × 2721 ) / 1

LCM(952,2721) = 2590392 / 1

LCM(952,2721) = 2590392

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8430/952, 1196/2721

1. What is the HCF of 8430,1196?

The HCF of 8430,1196 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 8430/952, 1196/2721?

Answer: GCF of Numerators as per given numbers 8430/952, 1196/2721 is

GCF of Numerators i.e. for 8430,1196 is 2

LCM of denominators i.e. for 952,2721 is 2590392.

Thus, GCF of Fractions is 2/2590392.Finally, GCF of Fractions for 8430/952, 1196/2721 is 2/2590392.