GCF of 9417/236, 7677/1038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9417/236, 7677/1038 i.e 3/122484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9417/236, 7677/1038.
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 9417/236,7677/1038?
Given fractions are 9417/236,7677/1038
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 9417/236,7677/1038, numerators are 9417,7677
Denominators are 236,1038
The GCF of 9417,7677 is 3 .
LCM of 236,1038 is 122484.
The greatest common factor of 9417/236,7677/1038 = [GCF of 9417,7677]/[LCM of 236,1038]= 3/122484
Therefore, the GCF of 9417/236,7677/1038 is 3/122484.
To find the highest common factor of 9417,7677, we have to find the factors of both numbers and list the highest common factor.
The factors of 9417 are 1, 3, 43, 73, 129, 219, 3139, 9417
The factors of 7677 are 1, 3, 9, 853, 2559, 7677
The HCF of 9417,7677 is 3.
Lets's calculate GCF of 9417,7677
| 3 | 9417, 7677 |
| 3139, 2559 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9417,7677 By Matching Biggest Common Factor Method
Now, list down the factors of 9417
:1,3,43,73,129,219,3139,9417
Now, list down the factors of 7677
:1,3,9,853,2559,7677
Greatest Common Factor
We found the factors 9417,7677 . The biggest common factor number is the GCF number.
So the greatest common factor 9417,7677 is 3.
Lets's calculate LCM of 236,1038
| 2 | 236, 1038 |
| 118, 519 |
∴ So the LCM of the given numbers is 2 x 118 x 519 = 122484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/122484
Therefore, the GCF of Fractions 9417/236,7677/1038 is 3/122484
Least Common Multiple of 236,1038 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 236,1038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,1038) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(236,1038) x common factors =2 x 1 = 2
LCM(236,1038) = ( 236 × 1038 ) / 2
LCM(236,1038) = 244968 / 2
LCM(236,1038) = 122484
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FAQs on GCF of Fractions of 9417/236, 7677/1038
1. What is the HCF of 9417,7677?
The HCF of 9417,7677 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 9417/236, 7677/1038?
Answer: GCF of Numerators as per given numbers 9417/236, 7677/1038 is
GCF of Numerators i.e. for 9417,7677 is 3
LCM of denominators i.e. for 236,1038 is 122484.
Thus, GCF of Fractions is 3/122484.Finally, GCF of Fractions for 9417/236, 7677/1038 is 3/122484.