GCF of 9482/345, 2783/561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9482/345, 2783/561 i.e 11/64515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9482/345, 2783/561.
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 9482/345,2783/561?
Given fractions are 9482/345,2783/561
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 9482/345,2783/561, numerators are 9482,2783
Denominators are 345,561
The GCF of 9482,2783 is 11 .
LCM of 345,561 is 64515.
The greatest common factor of 9482/345,2783/561 = [GCF of 9482,2783]/[LCM of 345,561]= 11/64515
Therefore, the GCF of 9482/345,2783/561 is 11/64515.
To find the highest common factor of 9482,2783, we have to find the factors of both numbers and list the highest common factor.
The factors of 9482 are 1, 2, 11, 22, 431, 862, 4741, 9482
The factors of 2783 are 1, 11, 23, 121, 253, 2783
The HCF of 9482,2783 is 11.
Lets's calculate GCF of 9482,2783
| 11 | 9482, 2783 |
| 862, 253 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9482,2783 By Matching Biggest Common Factor Method
Now, list down the factors of 9482
:1,2,11,22,431,862,4741,9482
Now, list down the factors of 2783
:1,11,23,121,253,2783
Greatest Common Factor
We found the factors 9482,2783 . The biggest common factor number is the GCF number.
So the greatest common factor 9482,2783 is 11.
Lets's calculate LCM of 345,561
| 3 | 345, 561 |
| 115, 187 |
∴ So the LCM of the given numbers is 3 x 115 x 187 = 64515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/64515
Therefore, the GCF of Fractions 9482/345,2783/561 is 11/64515
Least Common Multiple of 345,561 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 345,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,561) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,561) x common factors =3 x 1 = 3
LCM(345,561) = ( 345 × 561 ) / 3
LCM(345,561) = 193545 / 3
LCM(345,561) = 64515
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FAQs on GCF of Fractions of 9482/345, 2783/561
1. What is the HCF of 9482,2783?
The HCF of 9482,2783 is 11
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 9482/345, 2783/561?
Answer: GCF of Numerators as per given numbers 9482/345, 2783/561 is
GCF of Numerators i.e. for 9482,2783 is 11
LCM of denominators i.e. for 345,561 is 64515.
Thus, GCF of Fractions is 11/64515.Finally, GCF of Fractions for 9482/345, 2783/561 is 11/64515.