GCF of 2225/159, 7324/7983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2225/159, 7324/7983 i.e 1/423099 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2225/159, 7324/7983.
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 2225/159,7324/7983?
Given fractions are 2225/159,7324/7983
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 2225/159,7324/7983, numerators are 2225,7324
Denominators are 159,7983
The GCF of 2225,7324 is 1 .
LCM of 159,7983 is 423099.
The greatest common factor of 2225/159,7324/7983 = [GCF of 2225,7324]/[LCM of 159,7983]= 1/423099
Therefore, the GCF of 2225/159,7324/7983 is 1/423099.
To find the highest common factor of 2225,7324, we have to find the factors of both numbers and list the highest common factor.
The factors of 2225 are 1, 5, 25, 89, 445, 2225
The factors of 7324 are 1, 2, 4, 1831, 3662, 7324
The HCF of 2225,7324 is 1.
Lets's calculate GCF of 2225,7324
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2225,7324 By Matching Biggest Common Factor Method
Now, list down the factors of 2225
:1,5,25,89,445,2225
Now, list down the factors of 7324
:1,2,4,1831,3662,7324
Greatest Common Factor
We found the factors 2225,7324 . The biggest common factor number is the GCF number.
So the greatest common factor 2225,7324 is 1.
Lets's calculate LCM of 159,7983
| 3 | 159, 7983 |
| 53, 2661 |
∴ So the LCM of the given numbers is 3 x 53 x 2661 = 423099
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/423099
Therefore, the GCF of Fractions 2225/159,7324/7983 is 1/423099
Least Common Multiple of 159,7983 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 159,7983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,7983) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,7983) x common factors =3 x 1 = 3
LCM(159,7983) = ( 159 × 7983 ) / 3
LCM(159,7983) = 1269297 / 3
LCM(159,7983) = 423099
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FAQs on GCF of Fractions of 2225/159, 7324/7983
1. What is the HCF of 2225,7324?
The HCF of 2225,7324 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 2225/159, 7324/7983?
Answer: GCF of Numerators as per given numbers 2225/159, 7324/7983 is
GCF of Numerators i.e. for 2225,7324 is 1
LCM of denominators i.e. for 159,7983 is 423099.
Thus, GCF of Fractions is 1/423099.Finally, GCF of Fractions for 2225/159, 7324/7983 is 1/423099.