How to Find GCF of 64/25, 841/47, 162/608?

GCF of 64/25, 841/47, 162/608

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 64/25, 841/47, 162/608 i.e 1/714400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/25, 841/47, 162/608.

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 64/25,841/47,162/608?

Given fractions are 64/25,841/47,162/608

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 64/25,841/47,162/608, numerators are 64,841,162

Denominators are 25,47,608

The GCF of 64,841,162 is 1 .

LCM of 25,47,608 is 714400.

The greatest common factor of 64/25,841/47,162/608 = [GCF of 64,841,162]/[LCM of 25,47,608]= 1/714400

Therefore, the GCF of 64/25,841/47,162/608 is 1/714400.

Greatest Common Factor of 64,841,162

To find the highest common factor of 64,841,162, we have to find the factors of both numbers and list the highest common factor.

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

The factors of 841 are 1, 29, 841

The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

The HCF of 64,841,162 is 1.

Lets's calculate GCF of 64,841,162

Greatest Common Factor (GCF) of 64,841,162 By Common Division

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

Greatest Common Factor of 64,841,162 By Matching Biggest Common Factor Method

Now, list down the factors of 64

1,2,4,8,16,32,64

Now, list down the factors of 841

1,29,841

Now, list down the factors of 162

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 64,841,162 . The biggest common factor number is the GCF number.
So the greatest common factor 64,841,162 is 1.

Lets's calculate LCM of 25,47,608

Lowest Common Multiple of 25,47,608 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 714400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/714400

Therefore, the GCF of Fractions 64/25,841/47,162/608 is 1/714400

Least Common Multiple of 25,47,608 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 25,47,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,47,608) = 1

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

GCF(25,47,608) x common factors =1 x 1 = 1

LCM(25,47,608) = ( 25 × 47 × 608 ) / 1

LCM(25,47,608) = 714400 / 1

LCM(25,47,608) = 714400

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FAQs on GCF of Fractions of 64/25, 841/47, 162/608

1. What is the HCF of 64,841,162?

The HCF of 64,841,162 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 64/25, 841/47, 162/608?

Answer: GCF of Numerators as per given numbers 64/25, 841/47, 162/608 is

GCF of Numerators i.e. for 64,841,162 is 1

LCM of denominators i.e. for 25,47,608 is 714400.

Thus, GCF of Fractions is 1/714400.Finally, GCF of Fractions for 64/25, 841/47, 162/608 is 1/714400.