GCF of 3232/991, 7116/1446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3232/991, 7116/1446 i.e 4/1432986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3232/991, 7116/1446.
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 3232/991,7116/1446?
Given fractions are 3232/991,7116/1446
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 3232/991,7116/1446, numerators are 3232,7116
Denominators are 991,1446
The GCF of 3232,7116 is 4 .
LCM of 991,1446 is 1432986.
The greatest common factor of 3232/991,7116/1446 = [GCF of 3232,7116]/[LCM of 991,1446]= 4/1432986
Therefore, the GCF of 3232/991,7116/1446 is 4/1432986.
To find the highest common factor of 3232,7116, we have to find the factors of both numbers and list the highest common factor.
The factors of 3232 are 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232
The factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116
The HCF of 3232,7116 is 4.
Lets's calculate GCF of 3232,7116
| 2 | 3232, 7116 |
| 2 | 1616, 3558 |
| 808, 1779 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3232,7116 By Matching Biggest Common Factor Method
Now, list down the factors of 3232
:1,2,4,8,16,32,101,202,404,808,1616,3232
Now, list down the factors of 7116
:1,2,3,4,6,12,593,1186,1779,2372,3558,7116
Greatest Common Factor
We found the factors 3232,7116 . The biggest common factor number is the GCF number.
So the greatest common factor 3232,7116 is 4.
Lets's calculate LCM of 991,1446
Given numbers has no common factors except 1. So, there LCM is their product i.e 1432986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1432986
Therefore, the GCF of Fractions 3232/991,7116/1446 is 4/1432986
Least Common Multiple of 991,1446 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 991,1446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,1446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,1446) x common factors =1 x 1 = 1
LCM(991,1446) = ( 991 × 1446 ) / 1
LCM(991,1446) = 1432986 / 1
LCM(991,1446) = 1432986
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FAQs on GCF of Fractions of 3232/991, 7116/1446
1. What is the HCF of 3232,7116?
The HCF of 3232,7116 is 4
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 3232/991, 7116/1446?
Answer: GCF of Numerators as per given numbers 3232/991, 7116/1446 is
GCF of Numerators i.e. for 3232,7116 is 4
LCM of denominators i.e. for 991,1446 is 1432986.
Thus, GCF of Fractions is 4/1432986.Finally, GCF of Fractions for 3232/991, 7116/1446 is 4/1432986.