How to Find GCF of 5772/208, 8389/2536?

GCF of 5772/208, 8389/2536

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 5772/208, 8389/2536 i.e 1/65936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5772/208, 8389/2536.

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 5772/208,8389/2536?

Given fractions are 5772/208,8389/2536

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 5772/208,8389/2536, numerators are 5772,8389

Denominators are 208,2536

The GCF of 5772,8389 is 1 .

LCM of 208,2536 is 65936.

The greatest common factor of 5772/208,8389/2536 = [GCF of 5772,8389]/[LCM of 208,2536]= 1/65936

Therefore, the GCF of 5772/208,8389/2536 is 1/65936.

Greatest Common Factor of 5772,8389

To find the highest common factor of 5772,8389, we have to find the factors of both numbers and list the highest common factor.

The factors of 5772 are 1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886, 5772

The factors of 8389 are 1, 8389

The HCF of 5772,8389 is 1.

Lets's calculate GCF of 5772,8389

Greatest Common Factor (GCF) of 5772,8389 By Common Division

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

Greatest Common Factor of 5772,8389 By Matching Biggest Common Factor Method

Now, list down the factors of 5772

1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772

Now, list down the factors of 8389

1,8389

Greatest Common Factor

We found the factors 5772,8389 . The biggest common factor number is the GCF number.
So the greatest common factor 5772,8389 is 1.

Lets's calculate LCM of 208,2536

Lowest Common Multiple of 208,2536 using Common Division

2	208, 2536
2	104, 1268
2	52, 634
	26, 317

∴ So the LCM of the given numbers is 2 x 2 x 2 x 26 x 317 = 65936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65936

Therefore, the GCF of Fractions 5772/208,8389/2536 is 1/65936

Least Common Multiple of 208,2536 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 208,2536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,2536) = 8

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

GCF(208,2536) x common factors =8 x 1 = 8

LCM(208,2536) = ( 208 × 2536 ) / 8

LCM(208,2536) = 527488 / 8

LCM(208,2536) = 65936

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5772/208, 8389/2536

1. What is the HCF of 5772,8389?

The HCF of 5772,8389 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 5772/208, 8389/2536?

Answer: GCF of Numerators as per given numbers 5772/208, 8389/2536 is

GCF of Numerators i.e. for 5772,8389 is 1

LCM of denominators i.e. for 208,2536 is 65936.

Thus, GCF of Fractions is 1/65936.Finally, GCF of Fractions for 5772/208, 8389/2536 is 1/65936.