How to Find GCF of 3002/237, 5556/839?

GCF of 3002/237, 5556/839

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 3002/237, 5556/839 i.e 2/198843 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3002/237, 5556/839.

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 3002/237,5556/839?

Given fractions are 3002/237,5556/839

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 3002/237,5556/839, numerators are 3002,5556

Denominators are 237,839

The GCF of 3002,5556 is 2 .

LCM of 237,839 is 198843.

The greatest common factor of 3002/237,5556/839 = [GCF of 3002,5556]/[LCM of 237,839]= 2/198843

Therefore, the GCF of 3002/237,5556/839 is 2/198843.

Greatest Common Factor of 3002,5556

To find the highest common factor of 3002,5556, we have to find the factors of both numbers and list the highest common factor.

The factors of 3002 are 1, 2, 19, 38, 79, 158, 1501, 3002

The factors of 5556 are 1, 2, 3, 4, 6, 12, 463, 926, 1389, 1852, 2778, 5556

The HCF of 3002,5556 is 2.

Lets's calculate GCF of 3002,5556

Greatest Common Factor (GCF) of 3002,5556 By Common Division

2	3002, 5556
	1501, 2778

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

Greatest Common Factor of 3002,5556 By Matching Biggest Common Factor Method

Now, list down the factors of 3002

1,2,19,38,79,158,1501,3002

Now, list down the factors of 5556

1,2,3,4,6,12,463,926,1389,1852,2778,5556

Greatest Common Factor

We found the factors 3002,5556 . The biggest common factor number is the GCF number.
So the greatest common factor 3002,5556 is 2.

Lets's calculate LCM of 237,839

Lowest Common Multiple of 237,839 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 198843

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/198843

Therefore, the GCF of Fractions 3002/237,5556/839 is 2/198843

Least Common Multiple of 237,839 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 237,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,839) = 1

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

GCF(237,839) x common factors =1 x 1 = 1

LCM(237,839) = ( 237 × 839 ) / 1

LCM(237,839) = 198843 / 1

LCM(237,839) = 198843

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FAQs on GCF of Fractions of 3002/237, 5556/839

1. What is the HCF of 3002,5556?

The HCF of 3002,5556 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 3002/237, 5556/839?

Answer: GCF of Numerators as per given numbers 3002/237, 5556/839 is

GCF of Numerators i.e. for 3002,5556 is 2

LCM of denominators i.e. for 237,839 is 198843.

Thus, GCF of Fractions is 2/198843.Finally, GCF of Fractions for 3002/237, 5556/839 is 2/198843.