GCF of 7721/830, 9591/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7721/830, 9591/438 i.e 1/181770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7721/830, 9591/438.
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 7721/830,9591/438?
Given fractions are 7721/830,9591/438
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 7721/830,9591/438, numerators are 7721,9591
Denominators are 830,438
The GCF of 7721,9591 is 1 .
LCM of 830,438 is 181770.
The greatest common factor of 7721/830,9591/438 = [GCF of 7721,9591]/[LCM of 830,438]= 1/181770
Therefore, the GCF of 7721/830,9591/438 is 1/181770.
To find the highest common factor of 7721,9591, we have to find the factors of both numbers and list the highest common factor.
The factors of 7721 are 1, 7, 1103, 7721
The factors of 9591 are 1, 3, 23, 69, 139, 417, 3197, 9591
The HCF of 7721,9591 is 1.
Lets's calculate GCF of 7721,9591
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7721,9591 By Matching Biggest Common Factor Method
Now, list down the factors of 7721
:1,7,1103,7721
Now, list down the factors of 9591
:1,3,23,69,139,417,3197,9591
Greatest Common Factor
We found the factors 7721,9591 . The biggest common factor number is the GCF number.
So the greatest common factor 7721,9591 is 1.
Lets's calculate LCM of 830,438
| 2 | 830, 438 |
| 415, 219 |
∴ So the LCM of the given numbers is 2 x 415 x 219 = 181770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181770
Therefore, the GCF of Fractions 7721/830,9591/438 is 1/181770
Least Common Multiple of 830,438 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 830,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(830,438) x common factors =2 x 1 = 2
LCM(830,438) = ( 830 × 438 ) / 2
LCM(830,438) = 363540 / 2
LCM(830,438) = 181770
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FAQs on GCF of Fractions of 7721/830, 9591/438
1. What is the HCF of 7721,9591?
The HCF of 7721,9591 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 7721/830, 9591/438?
Answer: GCF of Numerators as per given numbers 7721/830, 9591/438 is
GCF of Numerators i.e. for 7721,9591 is 1
LCM of denominators i.e. for 830,438 is 181770.
Thus, GCF of Fractions is 1/181770.Finally, GCF of Fractions for 7721/830, 9591/438 is 1/181770.