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GCF of 418/39, 162/1214

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 418/39, 162/1214 i.e 2/47346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 418/39, 162/1214.

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 418/39,162/1214?

Given fractions are 418/39,162/1214

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 418/39,162/1214, numerators are 418,162

Denominators are 39,1214

The GCF of 418,162 is 2 .

LCM of 39,1214 is 47346.

The greatest common factor of 418/39,162/1214 = [GCF of 418,162]/[LCM of 39,1214]= 2/47346

Therefore, the GCF of 418/39,162/1214 is 2/47346.

Greatest Common Factor of 418,162

To find the highest common factor of 418,162, we have to find the factors of both numbers and list the highest common factor.

The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418

The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

The HCF of 418,162 is 2.

Lets's calculate GCF of 418,162

Greatest Common Factor (GCF) of 418,162 By Common Division

2 418, 162
209, 81

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

Greatest Common Factor of 418,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,162 By Matching Biggest Common Factor Method

Now, list down the factors of 418

:

1,2,11,19,22,38,209,418

Now, list down the factors of 162

:

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 418,162 . The biggest common factor number is the GCF number.
So the greatest common factor 418,162 is 2.

Lets's calculate LCM of 39,1214

Lowest Common Multiple of 39,1214 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 47346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47346

Therefore, the GCF of Fractions 418/39,162/1214 is 2/47346

Least Common Multiple of 39,1214 with GCF Formula

Least Common Multiple of 39,1214 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 39,1214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,1214) = 1

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

GCF(39,1214) x common factors =1 x 1 = 1

LCM(39,1214) = ( 39 × 1214 ) / 1

LCM(39,1214) = 47346 / 1

LCM(39,1214) = 47346


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FAQs on GCF of Fractions of 418/39, 162/1214

1. What is the HCF of 418,162?

The HCF of 418,162 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 418/39, 162/1214?

Answer: GCF of Numerators as per given numbers 418/39, 162/1214 is

GCF of Numerators i.e. for 418,162 is 2

LCM of denominators i.e. for 39,1214 is 47346.

Thus, GCF of Fractions is 2/47346.Finally, GCF of Fractions for 418/39, 162/1214 is 2/47346.