GCF of 9994/965, 9646/3173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9994/965, 9646/3173 i.e 2/3061945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9994/965, 9646/3173.
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 9994/965,9646/3173?
Given fractions are 9994/965,9646/3173
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 9994/965,9646/3173, numerators are 9994,9646
Denominators are 965,3173
The GCF of 9994,9646 is 2 .
LCM of 965,3173 is 3061945.
The greatest common factor of 9994/965,9646/3173 = [GCF of 9994,9646]/[LCM of 965,3173]= 2/3061945
Therefore, the GCF of 9994/965,9646/3173 is 2/3061945.
To find the highest common factor of 9994,9646, we have to find the factors of both numbers and list the highest common factor.
The factors of 9994 are 1, 2, 19, 38, 263, 526, 4997, 9994
The factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
The HCF of 9994,9646 is 2.
Lets's calculate GCF of 9994,9646
| 2 | 9994, 9646 |
| 4997, 4823 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9994,9646 By Matching Biggest Common Factor Method
Now, list down the factors of 9994
:1,2,19,38,263,526,4997,9994
Now, list down the factors of 9646
:1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646
Greatest Common Factor
We found the factors 9994,9646 . The biggest common factor number is the GCF number.
So the greatest common factor 9994,9646 is 2.
Lets's calculate LCM of 965,3173
Given numbers has no common factors except 1. So, there LCM is their product i.e 3061945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3061945
Therefore, the GCF of Fractions 9994/965,9646/3173 is 2/3061945
Least Common Multiple of 965,3173 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 965,3173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,3173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,3173) x common factors =1 x 1 = 1
LCM(965,3173) = ( 965 × 3173 ) / 1
LCM(965,3173) = 3061945 / 1
LCM(965,3173) = 3061945
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FAQs on GCF of Fractions of 9994/965, 9646/3173
1. What is the HCF of 9994,9646?
The HCF of 9994,9646 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 9994/965, 9646/3173?
Answer: GCF of Numerators as per given numbers 9994/965, 9646/3173 is
GCF of Numerators i.e. for 9994,9646 is 2
LCM of denominators i.e. for 965,3173 is 3061945.
Thus, GCF of Fractions is 2/3061945.Finally, GCF of Fractions for 9994/965, 9646/3173 is 2/3061945.