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GCF of 8264/577, 5162/3805

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 8264/577, 5162/3805 i.e 2/2195485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8264/577, 5162/3805.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8264/577,5162/3805?

Given fractions are 8264/577,5162/3805

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 8264/577,5162/3805, numerators are 8264,5162

Denominators are 577,3805

The GCF of 8264,5162 is 2 .

LCM of 577,3805 is 2195485.

The greatest common factor of 8264/577,5162/3805 = [GCF of 8264,5162]/[LCM of 577,3805]= 2/2195485

Therefore, the GCF of 8264/577,5162/3805 is 2/2195485.

Greatest Common Factor of 8264,5162

To find the highest common factor of 8264,5162, we have to find the factors of both numbers and list the highest common factor.

The factors of 8264 are 1, 2, 4, 8, 1033, 2066, 4132, 8264

The factors of 5162 are 1, 2, 29, 58, 89, 178, 2581, 5162

The HCF of 8264,5162 is 2.

Lets's calculate GCF of 8264,5162

Greatest Common Factor (GCF) of 8264,5162 By Common Division

2 8264, 5162
4132, 2581

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

Greatest Common Factor of 8264,5162 By Matching Biggest Common Factor Method

Greatest Common Factor of 8264,5162 By Matching Biggest Common Factor Method

Now, list down the factors of 8264

:

1,2,4,8,1033,2066,4132,8264

Now, list down the factors of 5162

:

1,2,29,58,89,178,2581,5162

Greatest Common Factor

We found the factors 8264,5162 . The biggest common factor number is the GCF number.
So the greatest common factor 8264,5162 is 2.


Lets's calculate LCM of 577,3805

Lowest Common Multiple of 577,3805 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2195485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2195485

Therefore, the GCF of Fractions 8264/577,5162/3805 is 2/2195485

Least Common Multiple of 577,3805 with GCF Formula

Least Common Multiple of 577,3805 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 577,3805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,3805) = 1

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

GCF(577,3805) x common factors =1 x 1 = 1

LCM(577,3805) = ( 577 × 3805 ) / 1

LCM(577,3805) = 2195485 / 1

LCM(577,3805) = 2195485


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8264/577, 5162/3805

1. What is the HCF of 8264,5162?

The HCF of 8264,5162 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 8264/577, 5162/3805?

Answer: GCF of Numerators as per given numbers 8264/577, 5162/3805 is

GCF of Numerators i.e. for 8264,5162 is 2

LCM of denominators i.e. for 577,3805 is 2195485.

Thus, GCF of Fractions is 2/2195485.Finally, GCF of Fractions for 8264/577, 5162/3805 is 2/2195485.