GCF of 9117/939, 9618/2583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9117/939, 9618/2583 i.e 3/808479 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9117/939, 9618/2583.
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 9117/939,9618/2583?
Given fractions are 9117/939,9618/2583
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 9117/939,9618/2583, numerators are 9117,9618
Denominators are 939,2583
The GCF of 9117,9618 is 3 .
LCM of 939,2583 is 808479.
The greatest common factor of 9117/939,9618/2583 = [GCF of 9117,9618]/[LCM of 939,2583]= 3/808479
Therefore, the GCF of 9117/939,9618/2583 is 3/808479.
To find the highest common factor of 9117,9618, we have to find the factors of both numbers and list the highest common factor.
The factors of 9117 are 1, 3, 9, 1013, 3039, 9117
The factors of 9618 are 1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618
The HCF of 9117,9618 is 3.
Lets's calculate GCF of 9117,9618
| 3 | 9117, 9618 |
| 3039, 3206 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9117,9618 By Matching Biggest Common Factor Method
Now, list down the factors of 9117
:1,3,9,1013,3039,9117
Now, list down the factors of 9618
:1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618
Greatest Common Factor
We found the factors 9117,9618 . The biggest common factor number is the GCF number.
So the greatest common factor 9117,9618 is 3.
Lets's calculate LCM of 939,2583
| 3 | 939, 2583 |
| 313, 861 |
∴ So the LCM of the given numbers is 3 x 313 x 861 = 808479
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/808479
Therefore, the GCF of Fractions 9117/939,9618/2583 is 3/808479
Least Common Multiple of 939,2583 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 939,2583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,2583) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(939,2583) x common factors =3 x 1 = 3
LCM(939,2583) = ( 939 × 2583 ) / 3
LCM(939,2583) = 2425437 / 3
LCM(939,2583) = 808479
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FAQs on GCF of Fractions of 9117/939, 9618/2583
1. What is the HCF of 9117,9618?
The HCF of 9117,9618 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 9117/939, 9618/2583?
Answer: GCF of Numerators as per given numbers 9117/939, 9618/2583 is
GCF of Numerators i.e. for 9117,9618 is 3
LCM of denominators i.e. for 939,2583 is 808479.
Thus, GCF of Fractions is 3/808479.Finally, GCF of Fractions for 9117/939, 9618/2583 is 3/808479.