GCF of 4/72, 62/48, 14/125, 360/186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4/72, 62/48, 14/125, 360/186 i.e 2/558000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/72, 62/48, 14/125, 360/186.
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 4/72,62/48,14/125,360/186?
Given fractions are 4/72,62/48,14/125,360/186
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 4/72,62/48,14/125,360/186, numerators are 4,62,14,360
Denominators are 72,48,125,186
The GCF of 4,62,14,360 is 2 .
LCM of 72,48,125,186 is 558000.
The greatest common factor of 4/72,62/48,14/125,360/186 = [GCF of 4,62,14,360]/[LCM of 72,48,125,186]= 2/558000
Therefore, the GCF of 4/72,62/48,14/125,360/186 is 2/558000.
To find the highest common factor of 4,62,14,360, 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 62 are 1, 2, 31, 62
The factors of 14 are 1, 2, 7, 14
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 4,62,14,360 is 2.
Lets's calculate GCF of 4,62,14,360
| 2 | 4, 62, 14, 360 |
| 2, 31, 7, 180 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4,62,14,360 By Matching Biggest Common Factor Method
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 14
:1,2,7,14
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 4,62,14,360 . The biggest common factor number is the GCF number.
So the greatest common factor 4,62,14,360 is 2.
Lets's calculate LCM of 72,48,125,186
| 2 | 72, 48, 125, 186 |
| 2 | 36, 24, 125, 93 |
| 2 | 18, 12, 125, 93 |
| 3 | 9, 6, 125, 93 |
| 3, 2, 125, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 2 x 125 x 31 = 558000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/558000
Therefore, the GCF of Fractions 4/72,62/48,14/125,360/186 is 2/558000
Least Common Multiple of 72,48,125,186 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 72,48,125,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,48,125,186) = 1
common factors(in case of two or more numbers have common factors) = 144
GCF(72,48,125,186) x common factors =1 x 144 = 144
LCM(72,48,125,186) = ( 72 × 48 × 125 × 186 ) / 144
LCM(72,48,125,186) = 80352000 / 144
LCM(72,48,125,186) = 558000
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FAQs on GCF of Fractions of 4/72, 62/48, 14/125, 360/186
1. What is the HCF of 4,62,14,360?
The HCF of 4,62,14,360 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 4/72, 62/48, 14/125, 360/186?
Answer: GCF of Numerators as per given numbers 4/72, 62/48, 14/125, 360/186 is
GCF of Numerators i.e. for 4,62,14,360 is 2
LCM of denominators i.e. for 72,48,125,186 is 558000.
Thus, GCF of Fractions is 2/558000.Finally, GCF of Fractions for 4/72, 62/48, 14/125, 360/186 is 2/558000.