GCF of 8195/336, 9576/4077
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8195/336, 9576/4077 i.e 1/456624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8195/336, 9576/4077.
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 8195/336,9576/4077?
Given fractions are 8195/336,9576/4077
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 8195/336,9576/4077, numerators are 8195,9576
Denominators are 336,4077
The GCF of 8195,9576 is 1 .
LCM of 336,4077 is 456624.
The greatest common factor of 8195/336,9576/4077 = [GCF of 8195,9576]/[LCM of 336,4077]= 1/456624
Therefore, the GCF of 8195/336,9576/4077 is 1/456624.
To find the highest common factor of 8195,9576, we have to find the factors of both numbers and list the highest common factor.
The factors of 8195 are 1, 5, 11, 55, 149, 745, 1639, 8195
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 HCF of 8195,9576 is 1.
Lets's calculate GCF of 8195,9576
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8195,9576 By Matching Biggest Common Factor Method
Now, list down the factors of 8195
:1,5,11,55,149,745,1639,8195
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
Greatest Common Factor
We found the factors 8195,9576 . The biggest common factor number is the GCF number.
So the greatest common factor 8195,9576 is 1.
Lets's calculate LCM of 336,4077
| 3 | 336, 4077 |
| 112, 1359 |
∴ So the LCM of the given numbers is 3 x 112 x 1359 = 456624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/456624
Therefore, the GCF of Fractions 8195/336,9576/4077 is 1/456624
Least Common Multiple of 336,4077 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 336,4077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,4077) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(336,4077) x common factors =3 x 1 = 3
LCM(336,4077) = ( 336 × 4077 ) / 3
LCM(336,4077) = 1369872 / 3
LCM(336,4077) = 456624
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FAQs on GCF of Fractions of 8195/336, 9576/4077
1. What is the HCF of 8195,9576?
The HCF of 8195,9576 is 1
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 8195/336, 9576/4077?
Answer: GCF of Numerators as per given numbers 8195/336, 9576/4077 is
GCF of Numerators i.e. for 8195,9576 is 1
LCM of denominators i.e. for 336,4077 is 456624.
Thus, GCF of Fractions is 1/456624.Finally, GCF of Fractions for 8195/336, 9576/4077 is 1/456624.