How to Find GCF of 6599/647, 1225/4096?

GCF of 6599/647, 1225/4096

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 6599/647, 1225/4096 i.e 1/2650112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6599/647, 1225/4096.

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 6599/647,1225/4096?

Given fractions are 6599/647,1225/4096

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 6599/647,1225/4096, numerators are 6599,1225

Denominators are 647,4096

The GCF of 6599,1225 is 1 .

LCM of 647,4096 is 2650112.

The greatest common factor of 6599/647,1225/4096 = [GCF of 6599,1225]/[LCM of 647,4096]= 1/2650112

Therefore, the GCF of 6599/647,1225/4096 is 1/2650112.

Greatest Common Factor of 6599,1225

To find the highest common factor of 6599,1225, we have to find the factors of both numbers and list the highest common factor.

The factors of 6599 are 1, 6599

The factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225

The HCF of 6599,1225 is 1.

Lets's calculate GCF of 6599,1225

Greatest Common Factor (GCF) of 6599,1225 By Common Division

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

Greatest Common Factor of 6599,1225 By Matching Biggest Common Factor Method

Now, list down the factors of 6599

1,6599

Now, list down the factors of 1225

1,5,7,25,35,49,175,245,1225

Greatest Common Factor

We found the factors 6599,1225 . The biggest common factor number is the GCF number.
So the greatest common factor 6599,1225 is 1.

Lets's calculate LCM of 647,4096

Lowest Common Multiple of 647,4096 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2650112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2650112

Therefore, the GCF of Fractions 6599/647,1225/4096 is 1/2650112

Least Common Multiple of 647,4096 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 647,4096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,4096) = 1

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

GCF(647,4096) x common factors =1 x 1 = 1

LCM(647,4096) = ( 647 × 4096 ) / 1

LCM(647,4096) = 2650112 / 1

LCM(647,4096) = 2650112

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FAQs on GCF of Fractions of 6599/647, 1225/4096

1. What is the HCF of 6599,1225?

The HCF of 6599,1225 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 6599/647, 1225/4096?

Answer: GCF of Numerators as per given numbers 6599/647, 1225/4096 is

GCF of Numerators i.e. for 6599,1225 is 1

LCM of denominators i.e. for 647,4096 is 2650112.

Thus, GCF of Fractions is 1/2650112.Finally, GCF of Fractions for 6599/647, 1225/4096 is 1/2650112.