How to Find GCF of 4336/967, 4186/8531?

GCF of 4336/967, 4186/8531

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 4336/967, 4186/8531 i.e 2/8249477 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4336/967, 4186/8531.

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 4336/967,4186/8531?

Given fractions are 4336/967,4186/8531

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 4336/967,4186/8531, numerators are 4336,4186

Denominators are 967,8531

The GCF of 4336,4186 is 2 .

LCM of 967,8531 is 8249477.

The greatest common factor of 4336/967,4186/8531 = [GCF of 4336,4186]/[LCM of 967,8531]= 2/8249477

Therefore, the GCF of 4336/967,4186/8531 is 2/8249477.

Greatest Common Factor of 4336,4186

To find the highest common factor of 4336,4186, we have to find the factors of both numbers and list the highest common factor.

The factors of 4336 are 1, 2, 4, 8, 16, 271, 542, 1084, 2168, 4336

The factors of 4186 are 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093, 4186

The HCF of 4336,4186 is 2.

Lets's calculate GCF of 4336,4186

Greatest Common Factor (GCF) of 4336,4186 By Common Division

2	4336, 4186
	2168, 2093

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

Greatest Common Factor of 4336,4186 By Matching Biggest Common Factor Method

Now, list down the factors of 4336

1,2,4,8,16,271,542,1084,2168,4336

Now, list down the factors of 4186

1,2,7,13,14,23,26,46,91,161,182,299,322,598,2093,4186

Greatest Common Factor

We found the factors 4336,4186 . The biggest common factor number is the GCF number.
So the greatest common factor 4336,4186 is 2.

Lets's calculate LCM of 967,8531

Lowest Common Multiple of 967,8531 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8249477

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8249477

Therefore, the GCF of Fractions 4336/967,4186/8531 is 2/8249477

Least Common Multiple of 967,8531 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 967,8531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,8531) = 1

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

GCF(967,8531) x common factors =1 x 1 = 1

LCM(967,8531) = ( 967 × 8531 ) / 1

LCM(967,8531) = 8249477 / 1

LCM(967,8531) = 8249477

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4336/967, 4186/8531

1. What is the HCF of 4336,4186?

The HCF of 4336,4186 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 4336/967, 4186/8531?

Answer: GCF of Numerators as per given numbers 4336/967, 4186/8531 is

GCF of Numerators i.e. for 4336,4186 is 2

LCM of denominators i.e. for 967,8531 is 8249477.

Thus, GCF of Fractions is 2/8249477.Finally, GCF of Fractions for 4336/967, 4186/8531 is 2/8249477.