GCF of 72/508, 4167/7248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 72/508, 4167/7248 i.e 9/920496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/508, 4167/7248.
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 72/508,4167/7248?
Given fractions are 72/508,4167/7248
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 72/508,4167/7248, numerators are 72,4167
Denominators are 508,7248
The GCF of 72,4167 is 9 .
LCM of 508,7248 is 920496.
The greatest common factor of 72/508,4167/7248 = [GCF of 72,4167]/[LCM of 508,7248]= 9/920496
Therefore, the GCF of 72/508,4167/7248 is 9/920496.
To find the highest common factor of 72,4167, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 4167 are 1, 3, 9, 463, 1389, 4167
The HCF of 72,4167 is 9.
Lets's calculate GCF of 72,4167
| 3 | 72, 4167 |
| 3 | 24, 1389 |
| 8, 463 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 72,4167 By Matching Biggest Common Factor Method
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 4167
:1,3,9,463,1389,4167
Greatest Common Factor
We found the factors 72,4167 . The biggest common factor number is the GCF number.
So the greatest common factor 72,4167 is 9.
Lets's calculate LCM of 508,7248
| 2 | 508, 7248 |
| 2 | 254, 3624 |
| 127, 1812 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 1812 = 920496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/920496
Therefore, the GCF of Fractions 72/508,4167/7248 is 9/920496
Least Common Multiple of 508,7248 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 508,7248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,7248) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(508,7248) x common factors =4 x 1 = 4
LCM(508,7248) = ( 508 × 7248 ) / 4
LCM(508,7248) = 3681984 / 4
LCM(508,7248) = 920496
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FAQs on GCF of Fractions of 72/508, 4167/7248
1. What is the HCF of 72,4167?
The HCF of 72,4167 is 9
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 72/508, 4167/7248?
Answer: GCF of Numerators as per given numbers 72/508, 4167/7248 is
GCF of Numerators i.e. for 72,4167 is 9
LCM of denominators i.e. for 508,7248 is 920496.
Thus, GCF of Fractions is 9/920496.Finally, GCF of Fractions for 72/508, 4167/7248 is 9/920496.