How to Find GCF of 164/452, 8101/584?

GCF of 164/452, 8101/584

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 164/452, 8101/584 i.e 1/65992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 164/452, 8101/584.

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 164/452,8101/584?

Given fractions are 164/452,8101/584

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 164/452,8101/584, numerators are 164,8101

Denominators are 452,584

The GCF of 164,8101 is 1 .

LCM of 452,584 is 65992.

The greatest common factor of 164/452,8101/584 = [GCF of 164,8101]/[LCM of 452,584]= 1/65992

Therefore, the GCF of 164/452,8101/584 is 1/65992.

Greatest Common Factor of 164,8101

To find the highest common factor of 164,8101, we have to find the factors of both numbers and list the highest common factor.

The factors of 164 are 1, 2, 4, 41, 82, 164

The factors of 8101 are 1, 8101

The HCF of 164,8101 is 1.

Lets's calculate GCF of 164,8101

Greatest Common Factor (GCF) of 164,8101 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 164,8101 By Matching Biggest Common Factor Method

Now, list down the factors of 164

1,2,4,41,82,164

Now, list down the factors of 8101

1,8101

Greatest Common Factor

We found the factors 164,8101 . The biggest common factor number is the GCF number.
So the greatest common factor 164,8101 is 1.

Lets's calculate LCM of 452,584

Lowest Common Multiple of 452,584 using Common Division

2	452, 584
2	226, 292
	113, 146

∴ So the LCM of the given numbers is 2 x 2 x 113 x 146 = 65992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65992

Therefore, the GCF of Fractions 164/452,8101/584 is 1/65992

Least Common Multiple of 452,584 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 452,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,584) = 4

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

GCF(452,584) x common factors =4 x 1 = 4

LCM(452,584) = ( 452 × 584 ) / 4

LCM(452,584) = 263968 / 4

LCM(452,584) = 65992

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 164/452, 8101/584

1. What is the HCF of 164,8101?

The HCF of 164,8101 is 1

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 164/452, 8101/584?

Answer: GCF of Numerators as per given numbers 164/452, 8101/584 is

GCF of Numerators i.e. for 164,8101 is 1

LCM of denominators i.e. for 452,584 is 65992.

Thus, GCF of Fractions is 1/65992.Finally, GCF of Fractions for 164/452, 8101/584 is 1/65992.