GCF of 8024/504, 6077/400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8024/504, 6077/400 i.e 59/25200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8024/504, 6077/400.
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 8024/504,6077/400?
Given fractions are 8024/504,6077/400
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 8024/504,6077/400, numerators are 8024,6077
Denominators are 504,400
The GCF of 8024,6077 is 59 .
LCM of 504,400 is 25200.
The greatest common factor of 8024/504,6077/400 = [GCF of 8024,6077]/[LCM of 504,400]= 59/25200
Therefore, the GCF of 8024/504,6077/400 is 59/25200.
To find the highest common factor of 8024,6077, 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 6077 are 1, 59, 103, 6077
The HCF of 8024,6077 is 59.
Lets's calculate GCF of 8024,6077
| 59 | 8024, 6077 |
| 136, 103 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 8024,6077 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 6077
:1,59,103,6077
Greatest Common Factor
We found the factors 8024,6077 . The biggest common factor number is the GCF number.
So the greatest common factor 8024,6077 is 59.
Lets's calculate LCM of 504,400
| 2 | 504, 400 |
| 2 | 252, 200 |
| 2 | 126, 100 |
| 63, 50 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 63 x 50 = 25200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/25200
Therefore, the GCF of Fractions 8024/504,6077/400 is 59/25200
Least Common Multiple of 504,400 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 504,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,400) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(504,400) x common factors =8 x 1 = 8
LCM(504,400) = ( 504 × 400 ) / 8
LCM(504,400) = 201600 / 8
LCM(504,400) = 25200
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FAQs on GCF of Fractions of 8024/504, 6077/400
1. What is the HCF of 8024,6077?
The HCF of 8024,6077 is 59
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 8024/504, 6077/400?
Answer: GCF of Numerators as per given numbers 8024/504, 6077/400 is
GCF of Numerators i.e. for 8024,6077 is 59
LCM of denominators i.e. for 504,400 is 25200.
Thus, GCF of Fractions is 59/25200.Finally, GCF of Fractions for 8024/504, 6077/400 is 59/25200.