How to Find GCF of 4092/758, 2828/2313?

GCF of 4092/758, 2828/2313

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 4092/758, 2828/2313 i.e 4/1753254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4092/758, 2828/2313.

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 4092/758,2828/2313?

Given fractions are 4092/758,2828/2313

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 4092/758,2828/2313, numerators are 4092,2828

Denominators are 758,2313

The GCF of 4092,2828 is 4 .

LCM of 758,2313 is 1753254.

The greatest common factor of 4092/758,2828/2313 = [GCF of 4092,2828]/[LCM of 758,2313]= 4/1753254

Therefore, the GCF of 4092/758,2828/2313 is 4/1753254.

Greatest Common Factor of 4092,2828

To find the highest common factor of 4092,2828, we have to find the factors of both numbers and list the highest common factor.

The factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092

The factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828

The HCF of 4092,2828 is 4.

Lets's calculate GCF of 4092,2828

Greatest Common Factor (GCF) of 4092,2828 By Common Division

2	4092, 2828
2	2046, 1414
	1023, 707

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4092,2828 By Matching Biggest Common Factor Method

Now, list down the factors of 4092

1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092

Now, list down the factors of 2828

1,2,4,7,14,28,101,202,404,707,1414,2828

Greatest Common Factor

We found the factors 4092,2828 . The biggest common factor number is the GCF number.
So the greatest common factor 4092,2828 is 4.

Lets's calculate LCM of 758,2313

Lowest Common Multiple of 758,2313 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1753254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1753254

Therefore, the GCF of Fractions 4092/758,2828/2313 is 4/1753254

Least Common Multiple of 758,2313 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 758,2313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,2313) = 1

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

GCF(758,2313) x common factors =1 x 1 = 1

LCM(758,2313) = ( 758 × 2313 ) / 1

LCM(758,2313) = 1753254 / 1

LCM(758,2313) = 1753254

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4092/758, 2828/2313

1. What is the HCF of 4092,2828?

The HCF of 4092,2828 is 4

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 4092/758, 2828/2313?

Answer: GCF of Numerators as per given numbers 4092/758, 2828/2313 is

GCF of Numerators i.e. for 4092,2828 is 4

LCM of denominators i.e. for 758,2313 is 1753254.

Thus, GCF of Fractions is 4/1753254.Finally, GCF of Fractions for 4092/758, 2828/2313 is 4/1753254.