GCF of 9362/177, 9681/9915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9362/177, 9681/9915 i.e 1/584985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9362/177, 9681/9915.
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 9362/177,9681/9915?
Given fractions are 9362/177,9681/9915
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 9362/177,9681/9915, numerators are 9362,9681
Denominators are 177,9915
The GCF of 9362,9681 is 1 .
LCM of 177,9915 is 584985.
The greatest common factor of 9362/177,9681/9915 = [GCF of 9362,9681]/[LCM of 177,9915]= 1/584985
Therefore, the GCF of 9362/177,9681/9915 is 1/584985.
To find the highest common factor of 9362,9681, we have to find the factors of both numbers and list the highest common factor.
The factors of 9362 are 1, 2, 31, 62, 151, 302, 4681, 9362
The factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681
The HCF of 9362,9681 is 1.
Lets's calculate GCF of 9362,9681
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9362,9681 By Matching Biggest Common Factor Method
Now, list down the factors of 9362
:1,2,31,62,151,302,4681,9362
Now, list down the factors of 9681
:1,3,7,21,461,1383,3227,9681
Greatest Common Factor
We found the factors 9362,9681 . The biggest common factor number is the GCF number.
So the greatest common factor 9362,9681 is 1.
Lets's calculate LCM of 177,9915
| 3 | 177, 9915 |
| 59, 3305 |
∴ So the LCM of the given numbers is 3 x 59 x 3305 = 584985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/584985
Therefore, the GCF of Fractions 9362/177,9681/9915 is 1/584985
Least Common Multiple of 177,9915 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 177,9915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,9915) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,9915) x common factors =3 x 1 = 3
LCM(177,9915) = ( 177 × 9915 ) / 3
LCM(177,9915) = 1754955 / 3
LCM(177,9915) = 584985
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FAQs on GCF of Fractions of 9362/177, 9681/9915
1. What is the HCF of 9362,9681?
The HCF of 9362,9681 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 9362/177, 9681/9915?
Answer: GCF of Numerators as per given numbers 9362/177, 9681/9915 is
GCF of Numerators i.e. for 9362,9681 is 1
LCM of denominators i.e. for 177,9915 is 584985.
Thus, GCF of Fractions is 1/584985.Finally, GCF of Fractions for 9362/177, 9681/9915 is 1/584985.