GCF of 4/20, 18/27, 12/255, 418/937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4/20, 18/27, 12/255, 418/937 i.e 2/8601660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/20, 18/27, 12/255, 418/937.
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 4/20,18/27,12/255,418/937?
Given fractions are 4/20,18/27,12/255,418/937
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 4/20,18/27,12/255,418/937, numerators are 4,18,12,418
Denominators are 20,27,255,937
The GCF of 4,18,12,418 is 2 .
LCM of 20,27,255,937 is 8601660.
The greatest common factor of 4/20,18/27,12/255,418/937 = [GCF of 4,18,12,418]/[LCM of 20,27,255,937]= 2/8601660
Therefore, the GCF of 4/20,18/27,12/255,418/937 is 2/8601660.
To find the highest common factor of 4,18,12,418, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418
The HCF of 4,18,12,418 is 2.
Lets's calculate GCF of 4,18,12,418
| 2 | 4, 18, 12, 418 |
| 2, 9, 6, 209 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4,18,12,418 By Matching Biggest Common Factor Method
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 418
:1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 4,18,12,418 . The biggest common factor number is the GCF number.
So the greatest common factor 4,18,12,418 is 2.
Lets's calculate LCM of 20,27,255,937
| 3 | 20, 27, 255, 937 |
| 5 | 20, 9, 85, 937 |
| 4, 9, 17, 937 |
∴ So the LCM of the given numbers is 3 x 5 x 4 x 9 x 17 x 937 = 8601660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8601660
Therefore, the GCF of Fractions 4/20,18/27,12/255,418/937 is 2/8601660
Least Common Multiple of 20,27,255,937 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 20,27,255,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,27,255,937) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(20,27,255,937) x common factors =1 x 15 = 15
LCM(20,27,255,937) = ( 20 × 27 × 255 × 937 ) / 15
LCM(20,27,255,937) = 129024900 / 15
LCM(20,27,255,937) = 8601660
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4/20, 18/27, 12/255, 418/937
1. What is the HCF of 4,18,12,418?
The HCF of 4,18,12,418 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 4/20, 18/27, 12/255, 418/937?
Answer: GCF of Numerators as per given numbers 4/20, 18/27, 12/255, 418/937 is
GCF of Numerators i.e. for 4,18,12,418 is 2
LCM of denominators i.e. for 20,27,255,937 is 8601660.
Thus, GCF of Fractions is 2/8601660.Finally, GCF of Fractions for 4/20, 18/27, 12/255, 418/937 is 2/8601660.