How to Find GCF of 3202/566, 6010/1237?

GCF of 3202/566, 6010/1237

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 3202/566, 6010/1237 i.e 2/700142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3202/566, 6010/1237.

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 3202/566,6010/1237?

Given fractions are 3202/566,6010/1237

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 3202/566,6010/1237, numerators are 3202,6010

Denominators are 566,1237

The GCF of 3202,6010 is 2 .

LCM of 566,1237 is 700142.

The greatest common factor of 3202/566,6010/1237 = [GCF of 3202,6010]/[LCM of 566,1237]= 2/700142

Therefore, the GCF of 3202/566,6010/1237 is 2/700142.

Greatest Common Factor of 3202,6010

To find the highest common factor of 3202,6010, we have to find the factors of both numbers and list the highest common factor.

The factors of 3202 are 1, 2, 1601, 3202

The factors of 6010 are 1, 2, 5, 10, 601, 1202, 3005, 6010

The HCF of 3202,6010 is 2.

Lets's calculate GCF of 3202,6010

Greatest Common Factor (GCF) of 3202,6010 By Common Division

2	3202, 6010
	1601, 3005

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

Greatest Common Factor of 3202,6010 By Matching Biggest Common Factor Method

Now, list down the factors of 3202

1,2,1601,3202

Now, list down the factors of 6010

1,2,5,10,601,1202,3005,6010

Greatest Common Factor

We found the factors 3202,6010 . The biggest common factor number is the GCF number.
So the greatest common factor 3202,6010 is 2.

Lets's calculate LCM of 566,1237

Lowest Common Multiple of 566,1237 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 700142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/700142

Therefore, the GCF of Fractions 3202/566,6010/1237 is 2/700142

Least Common Multiple of 566,1237 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 566,1237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,1237) = 1

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

GCF(566,1237) x common factors =1 x 1 = 1

LCM(566,1237) = ( 566 × 1237 ) / 1

LCM(566,1237) = 700142 / 1

LCM(566,1237) = 700142

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3202/566, 6010/1237

1. What is the HCF of 3202,6010?

The HCF of 3202,6010 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 3202/566, 6010/1237?

Answer: GCF of Numerators as per given numbers 3202/566, 6010/1237 is

GCF of Numerators i.e. for 3202,6010 is 2

LCM of denominators i.e. for 566,1237 is 700142.

Thus, GCF of Fractions is 2/700142.Finally, GCF of Fractions for 3202/566, 6010/1237 is 2/700142.