GCF of 4244/318, 9805/7684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4244/318, 9805/7684 i.e 1/1221756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4244/318, 9805/7684.
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 4244/318,9805/7684?
Given fractions are 4244/318,9805/7684
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 4244/318,9805/7684, numerators are 4244,9805
Denominators are 318,7684
The GCF of 4244,9805 is 1 .
LCM of 318,7684 is 1221756.
The greatest common factor of 4244/318,9805/7684 = [GCF of 4244,9805]/[LCM of 318,7684]= 1/1221756
Therefore, the GCF of 4244/318,9805/7684 is 1/1221756.
To find the highest common factor of 4244,9805, we have to find the factors of both numbers and list the highest common factor.
The factors of 4244 are 1, 2, 4, 1061, 2122, 4244
The factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805
The HCF of 4244,9805 is 1.
Lets's calculate GCF of 4244,9805
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4244,9805 By Matching Biggest Common Factor Method
Now, list down the factors of 4244
:1,2,4,1061,2122,4244
Now, list down the factors of 9805
:1,5,37,53,185,265,1961,9805
Greatest Common Factor
We found the factors 4244,9805 . The biggest common factor number is the GCF number.
So the greatest common factor 4244,9805 is 1.
Lets's calculate LCM of 318,7684
| 2 | 318, 7684 |
| 159, 3842 |
∴ So the LCM of the given numbers is 2 x 159 x 3842 = 1221756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1221756
Therefore, the GCF of Fractions 4244/318,9805/7684 is 1/1221756
Least Common Multiple of 318,7684 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 318,7684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,7684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(318,7684) x common factors =2 x 1 = 2
LCM(318,7684) = ( 318 × 7684 ) / 2
LCM(318,7684) = 2443512 / 2
LCM(318,7684) = 1221756
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FAQs on GCF of Fractions of 4244/318, 9805/7684
1. What is the HCF of 4244,9805?
The HCF of 4244,9805 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 4244/318, 9805/7684?
Answer: GCF of Numerators as per given numbers 4244/318, 9805/7684 is
GCF of Numerators i.e. for 4244,9805 is 1
LCM of denominators i.e. for 318,7684 is 1221756.
Thus, GCF of Fractions is 1/1221756.Finally, GCF of Fractions for 4244/318, 9805/7684 is 1/1221756.