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GCF of 2406/216, 4818/662

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 2406/216, 4818/662 i.e 6/71496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2406/216, 4818/662.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2406/216,4818/662?

Given fractions are 2406/216,4818/662

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 2406/216,4818/662, numerators are 2406,4818

Denominators are 216,662

The GCF of 2406,4818 is 6 .

LCM of 216,662 is 71496.

The greatest common factor of 2406/216,4818/662 = [GCF of 2406,4818]/[LCM of 216,662]= 6/71496

Therefore, the GCF of 2406/216,4818/662 is 6/71496.

Greatest Common Factor of 2406,4818

To find the highest common factor of 2406,4818, we have to find the factors of both numbers and list the highest common factor.

The factors of 2406 are 1, 2, 3, 6, 401, 802, 1203, 2406

The factors of 4818 are 1, 2, 3, 6, 11, 22, 33, 66, 73, 146, 219, 438, 803, 1606, 2409, 4818

The HCF of 2406,4818 is 6.

Lets's calculate GCF of 2406,4818

Greatest Common Factor (GCF) of 2406,4818 By Common Division

2 2406, 4818
3 1203, 2409
401, 803

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2406,4818 By Matching Biggest Common Factor Method

Greatest Common Factor of 2406,4818 By Matching Biggest Common Factor Method

Now, list down the factors of 2406

:

1,2,3,6,401,802,1203,2406

Now, list down the factors of 4818

:

1,2,3,6,11,22,33,66,73,146,219,438,803,1606,2409,4818

Greatest Common Factor

We found the factors 2406,4818 . The biggest common factor number is the GCF number.
So the greatest common factor 2406,4818 is 6.


Lets's calculate LCM of 216,662

Lowest Common Multiple of 216,662 using Common Division

2 216, 662
108, 331

∴ So the LCM of the given numbers is 2 x 108 x 331 = 71496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/71496

Therefore, the GCF of Fractions 2406/216,4818/662 is 6/71496

Least Common Multiple of 216,662 with GCF Formula

Least Common Multiple of 216,662 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 216,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,662) = 2

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

GCF(216,662) x common factors =2 x 1 = 2

LCM(216,662) = ( 216 × 662 ) / 2

LCM(216,662) = 142992 / 2

LCM(216,662) = 71496


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2406/216, 4818/662

1. What is the HCF of 2406,4818?

The HCF of 2406,4818 is 6

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 2406/216, 4818/662?

Answer: GCF of Numerators as per given numbers 2406/216, 4818/662 is

GCF of Numerators i.e. for 2406,4818 is 6

LCM of denominators i.e. for 216,662 is 71496.

Thus, GCF of Fractions is 6/71496.Finally, GCF of Fractions for 2406/216, 4818/662 is 6/71496.