GCF of 3632/89, 9926/307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3632/89, 9926/307 i.e 2/27323 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3632/89, 9926/307.
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 3632/89,9926/307?
Given fractions are 3632/89,9926/307
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 3632/89,9926/307, numerators are 3632,9926
Denominators are 89,307
The GCF of 3632,9926 is 2 .
LCM of 89,307 is 27323.
The greatest common factor of 3632/89,9926/307 = [GCF of 3632,9926]/[LCM of 89,307]= 2/27323
Therefore, the GCF of 3632/89,9926/307 is 2/27323.
To find the highest common factor of 3632,9926, we have to find the factors of both numbers and list the highest common factor.
The factors of 3632 are 1, 2, 4, 8, 16, 227, 454, 908, 1816, 3632
The factors of 9926 are 1, 2, 7, 14, 709, 1418, 4963, 9926
The HCF of 3632,9926 is 2.
Lets's calculate GCF of 3632,9926
| 2 | 3632, 9926 |
| 1816, 4963 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3632,9926 By Matching Biggest Common Factor Method
Now, list down the factors of 3632
:1,2,4,8,16,227,454,908,1816,3632
Now, list down the factors of 9926
:1,2,7,14,709,1418,4963,9926
Greatest Common Factor
We found the factors 3632,9926 . The biggest common factor number is the GCF number.
So the greatest common factor 3632,9926 is 2.
Lets's calculate LCM of 89,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 27323
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27323
Therefore, the GCF of Fractions 3632/89,9926/307 is 2/27323
Least Common Multiple of 89,307 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 89,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,307) x common factors =1 x 1 = 1
LCM(89,307) = ( 89 × 307 ) / 1
LCM(89,307) = 27323 / 1
LCM(89,307) = 27323
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FAQs on GCF of Fractions of 3632/89, 9926/307
1. What is the HCF of 3632,9926?
The HCF of 3632,9926 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 3632/89, 9926/307?
Answer: GCF of Numerators as per given numbers 3632/89, 9926/307 is
GCF of Numerators i.e. for 3632,9926 is 2
LCM of denominators i.e. for 89,307 is 27323.
Thus, GCF of Fractions is 2/27323.Finally, GCF of Fractions for 3632/89, 9926/307 is 2/27323.