GCF of 2282/661, 9815/130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2282/661, 9815/130 i.e 1/85930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2282/661, 9815/130.
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 2282/661,9815/130?
Given fractions are 2282/661,9815/130
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 2282/661,9815/130, numerators are 2282,9815
Denominators are 661,130
The GCF of 2282,9815 is 1 .
LCM of 661,130 is 85930.
The greatest common factor of 2282/661,9815/130 = [GCF of 2282,9815]/[LCM of 661,130]= 1/85930
Therefore, the GCF of 2282/661,9815/130 is 1/85930.
To find the highest common factor of 2282,9815, we have to find the factors of both numbers and list the highest common factor.
The factors of 2282 are 1, 2, 7, 14, 163, 326, 1141, 2282
The factors of 9815 are 1, 5, 13, 65, 151, 755, 1963, 9815
The HCF of 2282,9815 is 1.
Lets's calculate GCF of 2282,9815
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2282,9815 By Matching Biggest Common Factor Method
Now, list down the factors of 2282
:1,2,7,14,163,326,1141,2282
Now, list down the factors of 9815
:1,5,13,65,151,755,1963,9815
Greatest Common Factor
We found the factors 2282,9815 . The biggest common factor number is the GCF number.
So the greatest common factor 2282,9815 is 1.
Lets's calculate LCM of 661,130
Given numbers has no common factors except 1. So, there LCM is their product i.e 85930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85930
Therefore, the GCF of Fractions 2282/661,9815/130 is 1/85930
Least Common Multiple of 661,130 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 661,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,130) x common factors =1 x 1 = 1
LCM(661,130) = ( 661 × 130 ) / 1
LCM(661,130) = 85930 / 1
LCM(661,130) = 85930
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FAQs on GCF of Fractions of 2282/661, 9815/130
1. What is the HCF of 2282,9815?
The HCF of 2282,9815 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 2282/661, 9815/130?
Answer: GCF of Numerators as per given numbers 2282/661, 9815/130 is
GCF of Numerators i.e. for 2282,9815 is 1
LCM of denominators i.e. for 661,130 is 85930.
Thus, GCF of Fractions is 1/85930.Finally, GCF of Fractions for 2282/661, 9815/130 is 1/85930.