How to Find GCF of 66/247, 3220/1807?

GCF of 66/247, 3220/1807

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 66/247, 3220/1807 i.e 2/34333 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/247, 3220/1807.

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 66/247,3220/1807?

Given fractions are 66/247,3220/1807

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 66/247,3220/1807, numerators are 66,3220

Denominators are 247,1807

The GCF of 66,3220 is 2 .

LCM of 247,1807 is 34333.

The greatest common factor of 66/247,3220/1807 = [GCF of 66,3220]/[LCM of 247,1807]= 2/34333

Therefore, the GCF of 66/247,3220/1807 is 2/34333.

Greatest Common Factor of 66,3220

To find the highest common factor of 66,3220, we have to find the factors of both numbers and list the highest common factor.

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 3220 are 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610, 3220

The HCF of 66,3220 is 2.

Lets's calculate GCF of 66,3220

Greatest Common Factor (GCF) of 66,3220 By Common Division

2	66, 3220
	33, 1610

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

Greatest Common Factor of 66,3220 By Matching Biggest Common Factor Method

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 3220

1,2,4,5,7,10,14,20,23,28,35,46,70,92,115,140,161,230,322,460,644,805,1610,3220

Greatest Common Factor

We found the factors 66,3220 . The biggest common factor number is the GCF number.
So the greatest common factor 66,3220 is 2.

Lets's calculate LCM of 247,1807

Lowest Common Multiple of 247,1807 using Common Division

13	247, 1807
	19, 139

∴ So the LCM of the given numbers is 13 x 19 x 139 = 34333

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34333

Therefore, the GCF of Fractions 66/247,3220/1807 is 2/34333

Least Common Multiple of 247,1807 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 247,1807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,1807) = 13

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

GCF(247,1807) x common factors =13 x 1 = 13

LCM(247,1807) = ( 247 × 1807 ) / 13

LCM(247,1807) = 446329 / 13

LCM(247,1807) = 34333

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FAQs on GCF of Fractions of 66/247, 3220/1807

1. What is the HCF of 66,3220?

The HCF of 66,3220 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 66/247, 3220/1807?

Answer: GCF of Numerators as per given numbers 66/247, 3220/1807 is

GCF of Numerators i.e. for 66,3220 is 2

LCM of denominators i.e. for 247,1807 is 34333.

Thus, GCF of Fractions is 2/34333.Finally, GCF of Fractions for 66/247, 3220/1807 is 2/34333.