GCF of 20/236, 258/978, 165/522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/236, 258/978, 165/522 i.e 1/10040148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/236, 258/978, 165/522.
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 20/236,258/978,165/522?
Given fractions are 20/236,258/978,165/522
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 20/236,258/978,165/522, numerators are 20,258,165
Denominators are 236,978,522
The GCF of 20,258,165 is 1 .
LCM of 236,978,522 is 10040148.
The greatest common factor of 20/236,258/978,165/522 = [GCF of 20,258,165]/[LCM of 236,978,522]= 1/10040148
Therefore, the GCF of 20/236,258/978,165/522 is 1/10040148.
To find the highest common factor of 20,258,165, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165
The HCF of 20,258,165 is 1.
Lets's calculate GCF of 20,258,165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 20,258,165 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Now, list down the factors of 165
:1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 20,258,165 . The biggest common factor number is the GCF number.
So the greatest common factor 20,258,165 is 1.
Lets's calculate LCM of 236,978,522
| 2 | 236, 978, 522 |
| 3 | 118, 489, 261 |
| 118, 163, 87 |
∴ So the LCM of the given numbers is 2 x 3 x 118 x 163 x 87 = 10040148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10040148
Therefore, the GCF of Fractions 20/236,258/978,165/522 is 1/10040148
Least Common Multiple of 236,978,522 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 236,978,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,978,522) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(236,978,522) x common factors =2 x 6 = 12
LCM(236,978,522) = ( 236 × 978 × 522 ) / 12
LCM(236,978,522) = 120481776 / 12
LCM(236,978,522) = 10040148
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FAQs on GCF of Fractions of 20/236, 258/978, 165/522
1. What is the HCF of 20,258,165?
The HCF of 20,258,165 is 1
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 20/236, 258/978, 165/522?
Answer: GCF of Numerators as per given numbers 20/236, 258/978, 165/522 is
GCF of Numerators i.e. for 20,258,165 is 1
LCM of denominators i.e. for 236,978,522 is 10040148.
Thus, GCF of Fractions is 1/10040148.Finally, GCF of Fractions for 20/236, 258/978, 165/522 is 1/10040148.