How to Find GCF of 8641/606, 9499/5654?

GCF of 8641/606, 9499/5654

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 8641/606, 9499/5654 i.e 1/1713162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8641/606, 9499/5654.

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 8641/606,9499/5654?

Given fractions are 8641/606,9499/5654

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 8641/606,9499/5654, numerators are 8641,9499

Denominators are 606,5654

The GCF of 8641,9499 is 1 .

LCM of 606,5654 is 1713162.

The greatest common factor of 8641/606,9499/5654 = [GCF of 8641,9499]/[LCM of 606,5654]= 1/1713162

Therefore, the GCF of 8641/606,9499/5654 is 1/1713162.

Greatest Common Factor of 8641,9499

To find the highest common factor of 8641,9499, we have to find the factors of both numbers and list the highest common factor.

The factors of 8641 are 1, 8641

The factors of 9499 are 1, 7, 23, 59, 161, 413, 1357, 9499

The HCF of 8641,9499 is 1.

Lets's calculate GCF of 8641,9499

Greatest Common Factor (GCF) of 8641,9499 By Common Division

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

Greatest Common Factor of 8641,9499 By Matching Biggest Common Factor Method

Now, list down the factors of 8641

1,8641

Now, list down the factors of 9499

1,7,23,59,161,413,1357,9499

Greatest Common Factor

We found the factors 8641,9499 . The biggest common factor number is the GCF number.
So the greatest common factor 8641,9499 is 1.

Lets's calculate LCM of 606,5654

Lowest Common Multiple of 606,5654 using Common Division

2	606, 5654
	303, 2827

∴ So the LCM of the given numbers is 2 x 303 x 2827 = 1713162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1713162

Therefore, the GCF of Fractions 8641/606,9499/5654 is 1/1713162

Least Common Multiple of 606,5654 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 606,5654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,5654) = 2

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

GCF(606,5654) x common factors =2 x 1 = 2

LCM(606,5654) = ( 606 × 5654 ) / 2

LCM(606,5654) = 3426324 / 2

LCM(606,5654) = 1713162

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FAQs on GCF of Fractions of 8641/606, 9499/5654

1. What is the HCF of 8641,9499?

The HCF of 8641,9499 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 8641/606, 9499/5654?

Answer: GCF of Numerators as per given numbers 8641/606, 9499/5654 is

GCF of Numerators i.e. for 8641,9499 is 1

LCM of denominators i.e. for 606,5654 is 1713162.

Thus, GCF of Fractions is 1/1713162.Finally, GCF of Fractions for 8641/606, 9499/5654 is 1/1713162.