GCF of 1195/594, 1312/5814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1195/594, 1312/5814 i.e 1/191862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1195/594, 1312/5814.
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 1195/594,1312/5814?
Given fractions are 1195/594,1312/5814
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 1195/594,1312/5814, numerators are 1195,1312
Denominators are 594,5814
The GCF of 1195,1312 is 1 .
LCM of 594,5814 is 191862.
The greatest common factor of 1195/594,1312/5814 = [GCF of 1195,1312]/[LCM of 594,5814]= 1/191862
Therefore, the GCF of 1195/594,1312/5814 is 1/191862.
To find the highest common factor of 1195,1312, we have to find the factors of both numbers and list the highest common factor.
The factors of 1195 are 1, 5, 239, 1195
The factors of 1312 are 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312
The HCF of 1195,1312 is 1.
Lets's calculate GCF of 1195,1312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1195,1312 By Matching Biggest Common Factor Method
Now, list down the factors of 1195
:1,5,239,1195
Now, list down the factors of 1312
:1,2,4,8,16,32,41,82,164,328,656,1312
Greatest Common Factor
We found the factors 1195,1312 . The biggest common factor number is the GCF number.
So the greatest common factor 1195,1312 is 1.
Lets's calculate LCM of 594,5814
| 2 | 594, 5814 |
| 3 | 297, 2907 |
| 3 | 99, 969 |
| 33, 323 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 33 x 323 = 191862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191862
Therefore, the GCF of Fractions 1195/594,1312/5814 is 1/191862
Least Common Multiple of 594,5814 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 594,5814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,5814) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(594,5814) x common factors =18 x 1 = 18
LCM(594,5814) = ( 594 × 5814 ) / 18
LCM(594,5814) = 3453516 / 18
LCM(594,5814) = 191862
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FAQs on GCF of Fractions of 1195/594, 1312/5814
1. What is the HCF of 1195,1312?
The HCF of 1195,1312 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 1195/594, 1312/5814?
Answer: GCF of Numerators as per given numbers 1195/594, 1312/5814 is
GCF of Numerators i.e. for 1195,1312 is 1
LCM of denominators i.e. for 594,5814 is 191862.
Thus, GCF of Fractions is 1/191862.Finally, GCF of Fractions for 1195/594, 1312/5814 is 1/191862.