Use our free GCF of Fractions Calculator tool to compute the GCF of 7182/606, 8236/495 i.e 2/99990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7182/606, 8236/495.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7182/606,8236/495
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 7182/606,8236/495, numerators are 7182,8236
Denominators are 606,495
The GCF of 7182,8236 is 2 .
LCM of 606,495 is 99990.
The greatest common factor of 7182/606,8236/495 = [GCF of 7182,8236]/[LCM of 606,495]= 2/99990
Therefore, the GCF of 7182/606,8236/495 is 2/99990.
To find the highest common factor of 7182,8236, we have to find the factors of both numbers and list the highest common factor.
The factors of 7182 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182
The factors of 8236 are 1, 2, 4, 29, 58, 71, 116, 142, 284, 2059, 4118, 8236
The HCF of 7182,8236 is 2.
Lets's calculate GCF of 7182,8236
2 | 7182, 8236 |
3591, 4118 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 7182
:1,2,3,6,7,9,14,18,19,21,27,38,42,54,57,63,114,126,133,171,189,266,342,378,399,513,798,1026,1197,2394,3591,7182
Now, list down the factors of 8236
:1,2,4,29,58,71,116,142,284,2059,4118,8236
Greatest Common Factor
We found the factors 7182,8236 . The biggest common factor number is the GCF number.
So the greatest common factor 7182,8236 is 2.
Lets's calculate LCM of 606,495
3 | 606, 495 |
202, 165 |
∴ So the LCM of the given numbers is 3 x 202 x 165 = 99990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/99990
Therefore, the GCF of Fractions 7182/606,8236/495 is 2/99990
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 606,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,495) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(606,495) x common factors =3 x 1 = 3
LCM(606,495) = ( 606 × 495 ) / 3
LCM(606,495) = 299970 / 3
LCM(606,495) = 99990
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7182,8236?
The HCF of 7182,8236 is 2
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 7182/606, 8236/495?
Answer: GCF of Numerators as per given numbers 7182/606, 8236/495 is
GCF of Numerators i.e. for 7182,8236 is 2
LCM of denominators i.e. for 606,495 is 99990.
Thus, GCF of Fractions is 2/99990.Finally, GCF of Fractions for 7182/606, 8236/495 is 2/99990.