GCF of 8024/939, 6152/7302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8024/939, 6152/7302 i.e 8/2285526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8024/939, 6152/7302.
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 8024/939,6152/7302?
Given fractions are 8024/939,6152/7302
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 8024/939,6152/7302, numerators are 8024,6152
Denominators are 939,7302
The GCF of 8024,6152 is 8 .
LCM of 939,7302 is 2285526.
The greatest common factor of 8024/939,6152/7302 = [GCF of 8024,6152]/[LCM of 939,7302]= 8/2285526
Therefore, the GCF of 8024/939,6152/7302 is 8/2285526.
To find the highest common factor of 8024,6152, we have to find the factors of both numbers and list the highest common factor.
The factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024
The factors of 6152 are 1, 2, 4, 8, 769, 1538, 3076, 6152
The HCF of 8024,6152 is 8.
Lets's calculate GCF of 8024,6152
| 2 | 8024, 6152 |
| 2 | 4012, 3076 |
| 2 | 2006, 1538 |
| 1003, 769 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8024,6152 By Matching Biggest Common Factor Method
Now, list down the factors of 8024
:1,2,4,8,17,34,59,68,118,136,236,472,1003,2006,4012,8024
Now, list down the factors of 6152
:1,2,4,8,769,1538,3076,6152
Greatest Common Factor
We found the factors 8024,6152 . The biggest common factor number is the GCF number.
So the greatest common factor 8024,6152 is 8.
Lets's calculate LCM of 939,7302
| 3 | 939, 7302 |
| 313, 2434 |
∴ So the LCM of the given numbers is 3 x 313 x 2434 = 2285526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2285526
Therefore, the GCF of Fractions 8024/939,6152/7302 is 8/2285526
Least Common Multiple of 939,7302 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 939,7302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,7302) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(939,7302) x common factors =3 x 1 = 3
LCM(939,7302) = ( 939 × 7302 ) / 3
LCM(939,7302) = 6856578 / 3
LCM(939,7302) = 2285526
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FAQs on GCF of Fractions of 8024/939, 6152/7302
1. What is the HCF of 8024,6152?
The HCF of 8024,6152 is 8
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 8024/939, 6152/7302?
Answer: GCF of Numerators as per given numbers 8024/939, 6152/7302 is
GCF of Numerators i.e. for 8024,6152 is 8
LCM of denominators i.e. for 939,7302 is 2285526.
Thus, GCF of Fractions is 8/2285526.Finally, GCF of Fractions for 8024/939, 6152/7302 is 8/2285526.