GCF of 9576/977, 8584/3801
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9576/977, 8584/3801 i.e 8/3713577 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9576/977, 8584/3801.
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 9576/977,8584/3801?
Given fractions are 9576/977,8584/3801
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 9576/977,8584/3801, numerators are 9576,8584
Denominators are 977,3801
The GCF of 9576,8584 is 8 .
LCM of 977,3801 is 3713577.
The greatest common factor of 9576/977,8584/3801 = [GCF of 9576,8584]/[LCM of 977,3801]= 8/3713577
Therefore, the GCF of 9576/977,8584/3801 is 8/3713577.
To find the highest common factor of 9576,8584, we have to find the factors of both numbers and list the highest common factor.
The factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576
The factors of 8584 are 1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584
The HCF of 9576,8584 is 8.
Lets's calculate GCF of 9576,8584
| 2 | 9576, 8584 |
| 2 | 4788, 4292 |
| 2 | 2394, 2146 |
| 1197, 1073 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9576,8584 By Matching Biggest Common Factor Method
Now, list down the factors of 9576
:1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576
Now, list down the factors of 8584
:1,2,4,8,29,37,58,74,116,148,232,296,1073,2146,4292,8584
Greatest Common Factor
We found the factors 9576,8584 . The biggest common factor number is the GCF number.
So the greatest common factor 9576,8584 is 8.
Lets's calculate LCM of 977,3801
Given numbers has no common factors except 1. So, there LCM is their product i.e 3713577
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3713577
Therefore, the GCF of Fractions 9576/977,8584/3801 is 8/3713577
Least Common Multiple of 977,3801 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 977,3801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,3801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,3801) x common factors =1 x 1 = 1
LCM(977,3801) = ( 977 × 3801 ) / 1
LCM(977,3801) = 3713577 / 1
LCM(977,3801) = 3713577
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FAQs on GCF of Fractions of 9576/977, 8584/3801
1. What is the HCF of 9576,8584?
The HCF of 9576,8584 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 9576/977, 8584/3801?
Answer: GCF of Numerators as per given numbers 9576/977, 8584/3801 is
GCF of Numerators i.e. for 9576,8584 is 8
LCM of denominators i.e. for 977,3801 is 3713577.
Thus, GCF of Fractions is 8/3713577.Finally, GCF of Fractions for 9576/977, 8584/3801 is 8/3713577.