How to Find GCF of 5050/767, 8192/3609?

GCF of 5050/767, 8192/3609

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 5050/767, 8192/3609 i.e 2/2768103 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5050/767, 8192/3609.

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 5050/767,8192/3609?

Given fractions are 5050/767,8192/3609

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 5050/767,8192/3609, numerators are 5050,8192

Denominators are 767,3609

The GCF of 5050,8192 is 2 .

LCM of 767,3609 is 2768103.

The greatest common factor of 5050/767,8192/3609 = [GCF of 5050,8192]/[LCM of 767,3609]= 2/2768103

Therefore, the GCF of 5050/767,8192/3609 is 2/2768103.

Greatest Common Factor of 5050,8192

To find the highest common factor of 5050,8192, we have to find the factors of both numbers and list the highest common factor.

The factors of 5050 are 1, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525, 5050

The factors of 8192 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192

The HCF of 5050,8192 is 2.

Lets's calculate GCF of 5050,8192

Greatest Common Factor (GCF) of 5050,8192 By Common Division

2	5050, 8192
	2525, 4096

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5050,8192 By Matching Biggest Common Factor Method

Now, list down the factors of 5050

1,2,5,10,25,50,101,202,505,1010,2525,5050

Now, list down the factors of 8192

1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192

Greatest Common Factor

We found the factors 5050,8192 . The biggest common factor number is the GCF number.
So the greatest common factor 5050,8192 is 2.

Lets's calculate LCM of 767,3609

Lowest Common Multiple of 767,3609 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2768103

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2768103

Therefore, the GCF of Fractions 5050/767,8192/3609 is 2/2768103

Least Common Multiple of 767,3609 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 767,3609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,3609) = 1

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

GCF(767,3609) x common factors =1 x 1 = 1

LCM(767,3609) = ( 767 × 3609 ) / 1

LCM(767,3609) = 2768103 / 1

LCM(767,3609) = 2768103

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5050/767, 8192/3609

1. What is the HCF of 5050,8192?

The HCF of 5050,8192 is 2

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 5050/767, 8192/3609?

Answer: GCF of Numerators as per given numbers 5050/767, 8192/3609 is

GCF of Numerators i.e. for 5050,8192 is 2

LCM of denominators i.e. for 767,3609 is 2768103.

Thus, GCF of Fractions is 2/2768103.Finally, GCF of Fractions for 5050/767, 8192/3609 is 2/2768103.