How to Find GCF of 5069/320, 4933/8636?

GCF of 5069/320, 4933/8636

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 5069/320, 4933/8636 i.e 1/690880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5069/320, 4933/8636.

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 5069/320,4933/8636?

Given fractions are 5069/320,4933/8636

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 5069/320,4933/8636, numerators are 5069,4933

Denominators are 320,8636

The GCF of 5069,4933 is 1 .

LCM of 320,8636 is 690880.

The greatest common factor of 5069/320,4933/8636 = [GCF of 5069,4933]/[LCM of 320,8636]= 1/690880

Therefore, the GCF of 5069/320,4933/8636 is 1/690880.

Greatest Common Factor of 5069,4933

To find the highest common factor of 5069,4933, we have to find the factors of both numbers and list the highest common factor.

The factors of 5069 are 1, 37, 137, 5069

The factors of 4933 are 1, 4933

The HCF of 5069,4933 is 1.

Lets's calculate GCF of 5069,4933

Greatest Common Factor (GCF) of 5069,4933 By Common Division

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

Greatest Common Factor of 5069,4933 By Matching Biggest Common Factor Method

Now, list down the factors of 5069

1,37,137,5069

Now, list down the factors of 4933

1,4933

Greatest Common Factor

We found the factors 5069,4933 . The biggest common factor number is the GCF number.
So the greatest common factor 5069,4933 is 1.

Lets's calculate LCM of 320,8636

Lowest Common Multiple of 320,8636 using Common Division

2	320, 8636
2	160, 4318
	80, 2159

∴ So the LCM of the given numbers is 2 x 2 x 80 x 2159 = 690880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/690880

Therefore, the GCF of Fractions 5069/320,4933/8636 is 1/690880

Least Common Multiple of 320,8636 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 320,8636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,8636) = 4

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

GCF(320,8636) x common factors =4 x 1 = 4

LCM(320,8636) = ( 320 × 8636 ) / 4

LCM(320,8636) = 2763520 / 4

LCM(320,8636) = 690880

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FAQs on GCF of Fractions of 5069/320, 4933/8636

1. What is the HCF of 5069,4933?

The HCF of 5069,4933 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 5069/320, 4933/8636?

Answer: GCF of Numerators as per given numbers 5069/320, 4933/8636 is

GCF of Numerators i.e. for 5069,4933 is 1

LCM of denominators i.e. for 320,8636 is 690880.

Thus, GCF of Fractions is 1/690880.Finally, GCF of Fractions for 5069/320, 4933/8636 is 1/690880.