GCF of 3202/101, 9992/2713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3202/101, 9992/2713 i.e 2/274013 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3202/101, 9992/2713.
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 3202/101,9992/2713?
Given fractions are 3202/101,9992/2713
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 3202/101,9992/2713, numerators are 3202,9992
Denominators are 101,2713
The GCF of 3202,9992 is 2 .
LCM of 101,2713 is 274013.
The greatest common factor of 3202/101,9992/2713 = [GCF of 3202,9992]/[LCM of 101,2713]= 2/274013
Therefore, the GCF of 3202/101,9992/2713 is 2/274013.
To find the highest common factor of 3202,9992, we have to find the factors of both numbers and list the highest common factor.
The factors of 3202 are 1, 2, 1601, 3202
The factors of 9992 are 1, 2, 4, 8, 1249, 2498, 4996, 9992
The HCF of 3202,9992 is 2.
Lets's calculate GCF of 3202,9992
| 2 | 3202, 9992 |
| 1601, 4996 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3202,9992 By Matching Biggest Common Factor Method
Now, list down the factors of 3202
:1,2,1601,3202
Now, list down the factors of 9992
:1,2,4,8,1249,2498,4996,9992
Greatest Common Factor
We found the factors 3202,9992 . The biggest common factor number is the GCF number.
So the greatest common factor 3202,9992 is 2.
Lets's calculate LCM of 101,2713
Given numbers has no common factors except 1. So, there LCM is their product i.e 274013
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/274013
Therefore, the GCF of Fractions 3202/101,9992/2713 is 2/274013
Least Common Multiple of 101,2713 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 101,2713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,2713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,2713) x common factors =1 x 1 = 1
LCM(101,2713) = ( 101 × 2713 ) / 1
LCM(101,2713) = 274013 / 1
LCM(101,2713) = 274013
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FAQs on GCF of Fractions of 3202/101, 9992/2713
1. What is the HCF of 3202,9992?
The HCF of 3202,9992 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 3202/101, 9992/2713?
Answer: GCF of Numerators as per given numbers 3202/101, 9992/2713 is
GCF of Numerators i.e. for 3202,9992 is 2
LCM of denominators i.e. for 101,2713 is 274013.
Thus, GCF of Fractions is 2/274013.Finally, GCF of Fractions for 3202/101, 9992/2713 is 2/274013.