GCF of 48/163, 60/418, 621/531
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/163, 60/418, 621/531 i.e 3/36179154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/163, 60/418, 621/531.
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 48/163,60/418,621/531?
Given fractions are 48/163,60/418,621/531
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 48/163,60/418,621/531, numerators are 48,60,621
Denominators are 163,418,531
The GCF of 48,60,621 is 3 .
LCM of 163,418,531 is 36179154.
The greatest common factor of 48/163,60/418,621/531 = [GCF of 48,60,621]/[LCM of 163,418,531]= 3/36179154
Therefore, the GCF of 48/163,60/418,621/531 is 3/36179154.
To find the highest common factor of 48,60,621, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The HCF of 48,60,621 is 3.
Lets's calculate GCF of 48,60,621
| 3 | 48, 60, 621 |
| 16, 20, 207 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 48,60,621 By Matching Biggest Common Factor Method
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 48,60,621 . The biggest common factor number is the GCF number.
So the greatest common factor 48,60,621 is 3.
Lets's calculate LCM of 163,418,531
Given numbers has no common factors except 1. So, there LCM is their product i.e 36179154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/36179154
Therefore, the GCF of Fractions 48/163,60/418,621/531 is 3/36179154
Least Common Multiple of 163,418,531 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 163,418,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,418,531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,418,531) x common factors =1 x 1 = 1
LCM(163,418,531) = ( 163 × 418 × 531 ) / 1
LCM(163,418,531) = 36179154 / 1
LCM(163,418,531) = 36179154
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 48/163, 60/418, 621/531
1. What is the HCF of 48,60,621?
The HCF of 48,60,621 is 3
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 48/163, 60/418, 621/531?
Answer: GCF of Numerators as per given numbers 48/163, 60/418, 621/531 is
GCF of Numerators i.e. for 48,60,621 is 3
LCM of denominators i.e. for 163,418,531 is 36179154.
Thus, GCF of Fractions is 3/36179154.Finally, GCF of Fractions for 48/163, 60/418, 621/531 is 3/36179154.