GCF of 94/419, 128/520, 360/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 94/419, 128/520, 360/932 i.e 2/50766040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/419, 128/520, 360/932.
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 94/419,128/520,360/932?
Given fractions are 94/419,128/520,360/932
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 94/419,128/520,360/932, numerators are 94,128,360
Denominators are 419,520,932
The GCF of 94,128,360 is 2 .
LCM of 419,520,932 is 50766040.
The greatest common factor of 94/419,128/520,360/932 = [GCF of 94,128,360]/[LCM of 419,520,932]= 2/50766040
Therefore, the GCF of 94/419,128/520,360/932 is 2/50766040.
To find the highest common factor of 94,128,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 94,128,360 is 2.
Lets's calculate GCF of 94,128,360
| 2 | 94, 128, 360 |
| 47, 64, 180 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 94,128,360 By Matching Biggest Common Factor Method
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 128
:1,2,4,8,16,32,64,128
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 94,128,360 . The biggest common factor number is the GCF number.
So the greatest common factor 94,128,360 is 2.
Lets's calculate LCM of 419,520,932
| 2 | 419, 520, 932 |
| 2 | 419, 260, 466 |
| 419, 130, 233 |
∴ So the LCM of the given numbers is 2 x 2 x 419 x 130 x 233 = 50766040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50766040
Therefore, the GCF of Fractions 94/419,128/520,360/932 is 2/50766040
Least Common Multiple of 419,520,932 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 419,520,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,520,932) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(419,520,932) x common factors =1 x 4 = 4
LCM(419,520,932) = ( 419 × 520 × 932 ) / 4
LCM(419,520,932) = 203064160 / 4
LCM(419,520,932) = 50766040
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 94/419, 128/520, 360/932
1. What is the HCF of 94,128,360?
The HCF of 94,128,360 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 94/419, 128/520, 360/932?
Answer: GCF of Numerators as per given numbers 94/419, 128/520, 360/932 is
GCF of Numerators i.e. for 94,128,360 is 2
LCM of denominators i.e. for 419,520,932 is 50766040.
Thus, GCF of Fractions is 2/50766040.Finally, GCF of Fractions for 94/419, 128/520, 360/932 is 2/50766040.