GCF of 3602/396, 5091/6972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3602/396, 5091/6972 i.e 1/230076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3602/396, 5091/6972.
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 3602/396,5091/6972?
Given fractions are 3602/396,5091/6972
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 3602/396,5091/6972, numerators are 3602,5091
Denominators are 396,6972
The GCF of 3602,5091 is 1 .
LCM of 396,6972 is 230076.
The greatest common factor of 3602/396,5091/6972 = [GCF of 3602,5091]/[LCM of 396,6972]= 1/230076
Therefore, the GCF of 3602/396,5091/6972 is 1/230076.
To find the highest common factor of 3602,5091, we have to find the factors of both numbers and list the highest common factor.
The factors of 3602 are 1, 2, 1801, 3602
The factors of 5091 are 1, 3, 1697, 5091
The HCF of 3602,5091 is 1.
Lets's calculate GCF of 3602,5091
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3602,5091 By Matching Biggest Common Factor Method
Now, list down the factors of 3602
:1,2,1801,3602
Now, list down the factors of 5091
:1,3,1697,5091
Greatest Common Factor
We found the factors 3602,5091 . The biggest common factor number is the GCF number.
So the greatest common factor 3602,5091 is 1.
Lets's calculate LCM of 396,6972
| 2 | 396, 6972 |
| 2 | 198, 3486 |
| 3 | 99, 1743 |
| 33, 581 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 33 x 581 = 230076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230076
Therefore, the GCF of Fractions 3602/396,5091/6972 is 1/230076
Least Common Multiple of 396,6972 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 396,6972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,6972) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(396,6972) x common factors =12 x 1 = 12
LCM(396,6972) = ( 396 × 6972 ) / 12
LCM(396,6972) = 2760912 / 12
LCM(396,6972) = 230076
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FAQs on GCF of Fractions of 3602/396, 5091/6972
1. What is the HCF of 3602,5091?
The HCF of 3602,5091 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 3602/396, 5091/6972?
Answer: GCF of Numerators as per given numbers 3602/396, 5091/6972 is
GCF of Numerators i.e. for 3602,5091 is 1
LCM of denominators i.e. for 396,6972 is 230076.
Thus, GCF of Fractions is 1/230076.Finally, GCF of Fractions for 3602/396, 5091/6972 is 1/230076.