How to Find GCF of 8161/528, 3664/1608?

GCF of 8161/528, 3664/1608

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 8161/528, 3664/1608 i.e 1/35376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8161/528, 3664/1608.

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 8161/528,3664/1608?

Given fractions are 8161/528,3664/1608

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 8161/528,3664/1608, numerators are 8161,3664

Denominators are 528,1608

The GCF of 8161,3664 is 1 .

LCM of 528,1608 is 35376.

The greatest common factor of 8161/528,3664/1608 = [GCF of 8161,3664]/[LCM of 528,1608]= 1/35376

Therefore, the GCF of 8161/528,3664/1608 is 1/35376.

Greatest Common Factor of 8161,3664

To find the highest common factor of 8161,3664, we have to find the factors of both numbers and list the highest common factor.

The factors of 8161 are 1, 8161

The factors of 3664 are 1, 2, 4, 8, 16, 229, 458, 916, 1832, 3664

The HCF of 8161,3664 is 1.

Lets's calculate GCF of 8161,3664

Greatest Common Factor (GCF) of 8161,3664 By Common Division

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

Greatest Common Factor of 8161,3664 By Matching Biggest Common Factor Method

Now, list down the factors of 8161

1,8161

Now, list down the factors of 3664

1,2,4,8,16,229,458,916,1832,3664

Greatest Common Factor

We found the factors 8161,3664 . The biggest common factor number is the GCF number.
So the greatest common factor 8161,3664 is 1.

Lets's calculate LCM of 528,1608

Lowest Common Multiple of 528,1608 using Common Division

2	528, 1608
2	264, 804
2	132, 402
3	66, 201
	22, 67

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 22 x 67 = 35376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35376

Therefore, the GCF of Fractions 8161/528,3664/1608 is 1/35376

Least Common Multiple of 528,1608 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 528,1608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,1608) = 24

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

GCF(528,1608) x common factors =24 x 1 = 24

LCM(528,1608) = ( 528 × 1608 ) / 24

LCM(528,1608) = 849024 / 24

LCM(528,1608) = 35376

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FAQs on GCF of Fractions of 8161/528, 3664/1608

1. What is the HCF of 8161,3664?

The HCF of 8161,3664 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 8161/528, 3664/1608?

Answer: GCF of Numerators as per given numbers 8161/528, 3664/1608 is

GCF of Numerators i.e. for 8161,3664 is 1

LCM of denominators i.e. for 528,1608 is 35376.

Thus, GCF of Fractions is 1/35376.Finally, GCF of Fractions for 8161/528, 3664/1608 is 1/35376.