GCF of 8783/859, 9405/282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8783/859, 9405/282 i.e 1/242238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8783/859, 9405/282.
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 8783/859,9405/282?
Given fractions are 8783/859,9405/282
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 8783/859,9405/282, numerators are 8783,9405
Denominators are 859,282
The GCF of 8783,9405 is 1 .
LCM of 859,282 is 242238.
The greatest common factor of 8783/859,9405/282 = [GCF of 8783,9405]/[LCM of 859,282]= 1/242238
Therefore, the GCF of 8783/859,9405/282 is 1/242238.
To find the highest common factor of 8783,9405, we have to find the factors of both numbers and list the highest common factor.
The factors of 8783 are 1, 8783
The factors of 9405 are 1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135, 9405
The HCF of 8783,9405 is 1.
Lets's calculate GCF of 8783,9405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8783,9405 By Matching Biggest Common Factor Method
Now, list down the factors of 8783
:1,8783
Now, list down the factors of 9405
:1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405
Greatest Common Factor
We found the factors 8783,9405 . The biggest common factor number is the GCF number.
So the greatest common factor 8783,9405 is 1.
Lets's calculate LCM of 859,282
Given numbers has no common factors except 1. So, there LCM is their product i.e 242238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242238
Therefore, the GCF of Fractions 8783/859,9405/282 is 1/242238
Least Common Multiple of 859,282 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 859,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,282) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,282) x common factors =1 x 1 = 1
LCM(859,282) = ( 859 × 282 ) / 1
LCM(859,282) = 242238 / 1
LCM(859,282) = 242238
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FAQs on GCF of Fractions of 8783/859, 9405/282
1. What is the HCF of 8783,9405?
The HCF of 8783,9405 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 8783/859, 9405/282?
Answer: GCF of Numerators as per given numbers 8783/859, 9405/282 is
GCF of Numerators i.e. for 8783,9405 is 1
LCM of denominators i.e. for 859,282 is 242238.
Thus, GCF of Fractions is 1/242238.Finally, GCF of Fractions for 8783/859, 9405/282 is 1/242238.