GCF of 387/594, 346/984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 387/594, 346/984 i.e 1/97416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 387/594, 346/984.
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 387/594,346/984?
Given fractions are 387/594,346/984
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 387/594,346/984, numerators are 387,346
Denominators are 594,984
The GCF of 387,346 is 1 .
LCM of 594,984 is 97416.
The greatest common factor of 387/594,346/984 = [GCF of 387,346]/[LCM of 594,984]= 1/97416
Therefore, the GCF of 387/594,346/984 is 1/97416.
To find the highest common factor of 387,346, we have to find the factors of both numbers and list the highest common factor.
The factors of 387 are 1, 3, 9, 43, 129, 387
The factors of 346 are 1, 2, 173, 346
The HCF of 387,346 is 1.
Lets's calculate GCF of 387,346
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 387,346 By Matching Biggest Common Factor Method
Now, list down the factors of 387
:1,3,9,43,129,387
Now, list down the factors of 346
:1,2,173,346
Greatest Common Factor
We found the factors 387,346 . The biggest common factor number is the GCF number.
So the greatest common factor 387,346 is 1.
Lets's calculate LCM of 594,984
| 2 | 594, 984 |
| 3 | 297, 492 |
| 99, 164 |
∴ So the LCM of the given numbers is 2 x 3 x 99 x 164 = 97416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97416
Therefore, the GCF of Fractions 387/594,346/984 is 1/97416
Least Common Multiple of 594,984 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 594,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,984) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(594,984) x common factors =6 x 1 = 6
LCM(594,984) = ( 594 × 984 ) / 6
LCM(594,984) = 584496 / 6
LCM(594,984) = 97416
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FAQs on GCF of Fractions of 387/594, 346/984
1. What is the HCF of 387,346?
The HCF of 387,346 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 387/594, 346/984?
Answer: GCF of Numerators as per given numbers 387/594, 346/984 is
GCF of Numerators i.e. for 387,346 is 1
LCM of denominators i.e. for 594,984 is 97416.
Thus, GCF of Fractions is 1/97416.Finally, GCF of Fractions for 387/594, 346/984 is 1/97416.