GCF of 7359/788, 9987/5906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7359/788, 9987/5906 i.e 3/2326964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7359/788, 9987/5906.
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 7359/788,9987/5906?
Given fractions are 7359/788,9987/5906
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 7359/788,9987/5906, numerators are 7359,9987
Denominators are 788,5906
The GCF of 7359,9987 is 3 .
LCM of 788,5906 is 2326964.
The greatest common factor of 7359/788,9987/5906 = [GCF of 7359,9987]/[LCM of 788,5906]= 3/2326964
Therefore, the GCF of 7359/788,9987/5906 is 3/2326964.
To find the highest common factor of 7359,9987, we have to find the factors of both numbers and list the highest common factor.
The factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359
The factors of 9987 are 1, 3, 3329, 9987
The HCF of 7359,9987 is 3.
Lets's calculate GCF of 7359,9987
| 3 | 7359, 9987 |
| 2453, 3329 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7359,9987 By Matching Biggest Common Factor Method
Now, list down the factors of 7359
:1,3,11,33,223,669,2453,7359
Now, list down the factors of 9987
:1,3,3329,9987
Greatest Common Factor
We found the factors 7359,9987 . The biggest common factor number is the GCF number.
So the greatest common factor 7359,9987 is 3.
Lets's calculate LCM of 788,5906
| 2 | 788, 5906 |
| 394, 2953 |
∴ So the LCM of the given numbers is 2 x 394 x 2953 = 2326964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2326964
Therefore, the GCF of Fractions 7359/788,9987/5906 is 3/2326964
Least Common Multiple of 788,5906 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 788,5906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,5906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(788,5906) x common factors =2 x 1 = 2
LCM(788,5906) = ( 788 × 5906 ) / 2
LCM(788,5906) = 4653928 / 2
LCM(788,5906) = 2326964
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FAQs on GCF of Fractions of 7359/788, 9987/5906
1. What is the HCF of 7359,9987?
The HCF of 7359,9987 is 3
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 7359/788, 9987/5906?
Answer: GCF of Numerators as per given numbers 7359/788, 9987/5906 is
GCF of Numerators i.e. for 7359,9987 is 3
LCM of denominators i.e. for 788,5906 is 2326964.
Thus, GCF of Fractions is 3/2326964.Finally, GCF of Fractions for 7359/788, 9987/5906 is 3/2326964.