GCF of 904/207, 4536/8487
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 904/207, 4536/8487 i.e 8/8487 easily. The following is the detailed procedure to determine the greatest common factor of fractions 904/207, 4536/8487.
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 904/207,4536/8487?
Given fractions are 904/207,4536/8487
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 904/207,4536/8487, numerators are 904,4536
Denominators are 207,8487
The GCF of 904,4536 is 8 .
LCM of 207,8487 is 8487.
The greatest common factor of 904/207,4536/8487 = [GCF of 904,4536]/[LCM of 207,8487]= 8/8487
Therefore, the GCF of 904/207,4536/8487 is 8/8487.
To find the highest common factor of 904,4536, we have to find the factors of both numbers and list the highest common factor.
The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904
The factors of 4536 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536
The HCF of 904,4536 is 8.
Lets's calculate GCF of 904,4536
| 2 | 904, 4536 |
| 2 | 452, 2268 |
| 2 | 226, 1134 |
| 113, 567 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 904,4536 By Matching Biggest Common Factor Method
Now, list down the factors of 904
:1,2,4,8,113,226,452,904
Now, list down the factors of 4536
:1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,81,84,108,126,162,168,189,216,252,324,378,504,567,648,756,1134,1512,2268,4536
Greatest Common Factor
We found the factors 904,4536 . The biggest common factor number is the GCF number.
So the greatest common factor 904,4536 is 8.
Lets's calculate LCM of 207,8487
| 3 | 207, 8487 |
| 3 | 69, 2829 |
| 23 | 23, 943 |
| 1, 41 |
∴ So the LCM of the given numbers is 3 x 3 x 23 x 1 x 41 = 8487
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/8487
Therefore, the GCF of Fractions 904/207,4536/8487 is 8/8487
Least Common Multiple of 207,8487 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 207,8487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,8487) = 207
common factors(in case of two or more numbers have common factors) = 1
GCF(207,8487) x common factors =207 x 1 = 207
LCM(207,8487) = ( 207 × 8487 ) / 207
LCM(207,8487) = 1756809 / 207
LCM(207,8487) = 8487
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FAQs on GCF of Fractions of 904/207, 4536/8487
1. What is the HCF of 904,4536?
The HCF of 904,4536 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 904/207, 4536/8487?
Answer: GCF of Numerators as per given numbers 904/207, 4536/8487 is
GCF of Numerators i.e. for 904,4536 is 8
LCM of denominators i.e. for 207,8487 is 8487.
Thus, GCF of Fractions is 8/8487.Finally, GCF of Fractions for 904/207, 4536/8487 is 8/8487.