GCF of 316/444, 9566/782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 316/444, 9566/782 i.e 2/173604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 316/444, 9566/782.
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 316/444,9566/782?
Given fractions are 316/444,9566/782
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 316/444,9566/782, numerators are 316,9566
Denominators are 444,782
The GCF of 316,9566 is 2 .
LCM of 444,782 is 173604.
The greatest common factor of 316/444,9566/782 = [GCF of 316,9566]/[LCM of 444,782]= 2/173604
Therefore, the GCF of 316/444,9566/782 is 2/173604.
To find the highest common factor of 316,9566, we have to find the factors of both numbers and list the highest common factor.
The factors of 316 are 1, 2, 4, 79, 158, 316
The factors of 9566 are 1, 2, 4783, 9566
The HCF of 316,9566 is 2.
Lets's calculate GCF of 316,9566
| 2 | 316, 9566 |
| 158, 4783 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 316,9566 By Matching Biggest Common Factor Method
Now, list down the factors of 316
:1,2,4,79,158,316
Now, list down the factors of 9566
:1,2,4783,9566
Greatest Common Factor
We found the factors 316,9566 . The biggest common factor number is the GCF number.
So the greatest common factor 316,9566 is 2.
Lets's calculate LCM of 444,782
| 2 | 444, 782 |
| 222, 391 |
∴ So the LCM of the given numbers is 2 x 222 x 391 = 173604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/173604
Therefore, the GCF of Fractions 316/444,9566/782 is 2/173604
Least Common Multiple of 444,782 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 444,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(444,782) x common factors =2 x 1 = 2
LCM(444,782) = ( 444 × 782 ) / 2
LCM(444,782) = 347208 / 2
LCM(444,782) = 173604
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FAQs on GCF of Fractions of 316/444, 9566/782
1. What is the HCF of 316,9566?
The HCF of 316,9566 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 316/444, 9566/782?
Answer: GCF of Numerators as per given numbers 316/444, 9566/782 is
GCF of Numerators i.e. for 316,9566 is 2
LCM of denominators i.e. for 444,782 is 173604.
Thus, GCF of Fractions is 2/173604.Finally, GCF of Fractions for 316/444, 9566/782 is 2/173604.