How to Find GCF of 4886/733, 5244/839?

GCF of 4886/733, 5244/839

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 4886/733, 5244/839 i.e 2/614987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4886/733, 5244/839.

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 4886/733,5244/839?

Given fractions are 4886/733,5244/839

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 4886/733,5244/839, numerators are 4886,5244

Denominators are 733,839

The GCF of 4886,5244 is 2 .

LCM of 733,839 is 614987.

The greatest common factor of 4886/733,5244/839 = [GCF of 4886,5244]/[LCM of 733,839]= 2/614987

Therefore, the GCF of 4886/733,5244/839 is 2/614987.

Greatest Common Factor of 4886,5244

To find the highest common factor of 4886,5244, we have to find the factors of both numbers and list the highest common factor.

The factors of 4886 are 1, 2, 7, 14, 349, 698, 2443, 4886

The factors of 5244 are 1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244

The HCF of 4886,5244 is 2.

Lets's calculate GCF of 4886,5244

Greatest Common Factor (GCF) of 4886,5244 By Common Division

2	4886, 5244
	2443, 2622

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

Greatest Common Factor of 4886,5244 By Matching Biggest Common Factor Method

Now, list down the factors of 4886

1,2,7,14,349,698,2443,4886

Now, list down the factors of 5244

1,2,3,4,6,12,19,23,38,46,57,69,76,92,114,138,228,276,437,874,1311,1748,2622,5244

Greatest Common Factor

We found the factors 4886,5244 . The biggest common factor number is the GCF number.
So the greatest common factor 4886,5244 is 2.

Lets's calculate LCM of 733,839

Lowest Common Multiple of 733,839 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 614987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/614987

Therefore, the GCF of Fractions 4886/733,5244/839 is 2/614987

Least Common Multiple of 733,839 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 733,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,839) = 1

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

GCF(733,839) x common factors =1 x 1 = 1

LCM(733,839) = ( 733 × 839 ) / 1

LCM(733,839) = 614987 / 1

LCM(733,839) = 614987

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FAQs on GCF of Fractions of 4886/733, 5244/839

1. What is the HCF of 4886,5244?

The HCF of 4886,5244 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 4886/733, 5244/839?

Answer: GCF of Numerators as per given numbers 4886/733, 5244/839 is

GCF of Numerators i.e. for 4886,5244 is 2

LCM of denominators i.e. for 733,839 is 614987.

Thus, GCF of Fractions is 2/614987.Finally, GCF of Fractions for 4886/733, 5244/839 is 2/614987.