GCF of 9866/705, 1195/2174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9866/705, 1195/2174 i.e 1/1532670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9866/705, 1195/2174.
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 9866/705,1195/2174?
Given fractions are 9866/705,1195/2174
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 9866/705,1195/2174, numerators are 9866,1195
Denominators are 705,2174
The GCF of 9866,1195 is 1 .
LCM of 705,2174 is 1532670.
The greatest common factor of 9866/705,1195/2174 = [GCF of 9866,1195]/[LCM of 705,2174]= 1/1532670
Therefore, the GCF of 9866/705,1195/2174 is 1/1532670.
To find the highest common factor of 9866,1195, we have to find the factors of both numbers and list the highest common factor.
The factors of 9866 are 1, 2, 4933, 9866
The factors of 1195 are 1, 5, 239, 1195
The HCF of 9866,1195 is 1.
Lets's calculate GCF of 9866,1195
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9866,1195 By Matching Biggest Common Factor Method
Now, list down the factors of 9866
:1,2,4933,9866
Now, list down the factors of 1195
:1,5,239,1195
Greatest Common Factor
We found the factors 9866,1195 . The biggest common factor number is the GCF number.
So the greatest common factor 9866,1195 is 1.
Lets's calculate LCM of 705,2174
Given numbers has no common factors except 1. So, there LCM is their product i.e 1532670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1532670
Therefore, the GCF of Fractions 9866/705,1195/2174 is 1/1532670
Least Common Multiple of 705,2174 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 705,2174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,2174) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,2174) x common factors =1 x 1 = 1
LCM(705,2174) = ( 705 × 2174 ) / 1
LCM(705,2174) = 1532670 / 1
LCM(705,2174) = 1532670
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FAQs on GCF of Fractions of 9866/705, 1195/2174
1. What is the HCF of 9866,1195?
The HCF of 9866,1195 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 9866/705, 1195/2174?
Answer: GCF of Numerators as per given numbers 9866/705, 1195/2174 is
GCF of Numerators i.e. for 9866,1195 is 1
LCM of denominators i.e. for 705,2174 is 1532670.
Thus, GCF of Fractions is 1/1532670.Finally, GCF of Fractions for 9866/705, 1195/2174 is 1/1532670.