GCF of 9643/796, 3171/302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9643/796, 3171/302 i.e 1/120196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9643/796, 3171/302.
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 9643/796,3171/302?
Given fractions are 9643/796,3171/302
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 9643/796,3171/302, numerators are 9643,3171
Denominators are 796,302
The GCF of 9643,3171 is 1 .
LCM of 796,302 is 120196.
The greatest common factor of 9643/796,3171/302 = [GCF of 9643,3171]/[LCM of 796,302]= 1/120196
Therefore, the GCF of 9643/796,3171/302 is 1/120196.
To find the highest common factor of 9643,3171, we have to find the factors of both numbers and list the highest common factor.
The factors of 9643 are 1, 9643
The factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171
The HCF of 9643,3171 is 1.
Lets's calculate GCF of 9643,3171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9643,3171 By Matching Biggest Common Factor Method
Now, list down the factors of 9643
:1,9643
Now, list down the factors of 3171
:1,3,7,21,151,453,1057,3171
Greatest Common Factor
We found the factors 9643,3171 . The biggest common factor number is the GCF number.
So the greatest common factor 9643,3171 is 1.
Lets's calculate LCM of 796,302
| 2 | 796, 302 |
| 398, 151 |
∴ So the LCM of the given numbers is 2 x 398 x 151 = 120196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120196
Therefore, the GCF of Fractions 9643/796,3171/302 is 1/120196
Least Common Multiple of 796,302 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 796,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(796,302) x common factors =2 x 1 = 2
LCM(796,302) = ( 796 × 302 ) / 2
LCM(796,302) = 240392 / 2
LCM(796,302) = 120196
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FAQs on GCF of Fractions of 9643/796, 3171/302
1. What is the HCF of 9643,3171?
The HCF of 9643,3171 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 9643/796, 3171/302?
Answer: GCF of Numerators as per given numbers 9643/796, 3171/302 is
GCF of Numerators i.e. for 9643,3171 is 1
LCM of denominators i.e. for 796,302 is 120196.
Thus, GCF of Fractions is 1/120196.Finally, GCF of Fractions for 9643/796, 3171/302 is 1/120196.