GCF of 6/60, 72/24, 31/105, 439/536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6/60, 72/24, 31/105, 439/536 i.e 1/56280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/60, 72/24, 31/105, 439/536.
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 6/60,72/24,31/105,439/536?
Given fractions are 6/60,72/24,31/105,439/536
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 6/60,72/24,31/105,439/536, numerators are 6,72,31,439
Denominators are 60,24,105,536
The GCF of 6,72,31,439 is 1 .
LCM of 60,24,105,536 is 56280.
The greatest common factor of 6/60,72/24,31/105,439/536 = [GCF of 6,72,31,439]/[LCM of 60,24,105,536]= 1/56280
Therefore, the GCF of 6/60,72/24,31/105,439/536 is 1/56280.
To find the highest common factor of 6,72,31,439, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 31 are 1, 31
The factors of 439 are 1, 439
The HCF of 6,72,31,439 is 1.
Lets's calculate GCF of 6,72,31,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6,72,31,439 By Matching Biggest Common Factor Method
Now, list down the factors of 6
:1,2,3,6
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 31
:1,31
Now, list down the factors of 439
:1,439
Greatest Common Factor
We found the factors 6,72,31,439 . The biggest common factor number is the GCF number.
So the greatest common factor 6,72,31,439 is 1.
Lets's calculate LCM of 60,24,105,536
| 2 | 60, 24, 105, 536 |
| 2 | 30, 12, 105, 268 |
| 2 | 15, 6, 105, 134 |
| 3 | 15, 3, 105, 67 |
| 5 | 5, 1, 35, 67 |
| 1, 1, 7, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 1 x 7 x 67 = 56280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56280
Therefore, the GCF of Fractions 6/60,72/24,31/105,439/536 is 1/56280
Least Common Multiple of 60,24,105,536 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 60,24,105,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,24,105,536) = 1
common factors(in case of two or more numbers have common factors) = 1440
GCF(60,24,105,536) x common factors =1 x 1440 = 1440
LCM(60,24,105,536) = ( 60 × 24 × 105 × 536 ) / 1440
LCM(60,24,105,536) = 81043200 / 1440
LCM(60,24,105,536) = 56280
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6/60, 72/24, 31/105, 439/536
1. What is the HCF of 6,72,31,439?
The HCF of 6,72,31,439 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 6/60, 72/24, 31/105, 439/536?
Answer: GCF of Numerators as per given numbers 6/60, 72/24, 31/105, 439/536 is
GCF of Numerators i.e. for 6,72,31,439 is 1
LCM of denominators i.e. for 60,24,105,536 is 56280.
Thus, GCF of Fractions is 1/56280.Finally, GCF of Fractions for 6/60, 72/24, 31/105, 439/536 is 1/56280.