GCF of 9861/645, 1214/2999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9861/645, 1214/2999 i.e 1/1934355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9861/645, 1214/2999.
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 9861/645,1214/2999?
Given fractions are 9861/645,1214/2999
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 9861/645,1214/2999, numerators are 9861,1214
Denominators are 645,2999
The GCF of 9861,1214 is 1 .
LCM of 645,2999 is 1934355.
The greatest common factor of 9861/645,1214/2999 = [GCF of 9861,1214]/[LCM of 645,2999]= 1/1934355
Therefore, the GCF of 9861/645,1214/2999 is 1/1934355.
To find the highest common factor of 9861,1214, we have to find the factors of both numbers and list the highest common factor.
The factors of 9861 are 1, 3, 19, 57, 173, 519, 3287, 9861
The factors of 1214 are 1, 2, 607, 1214
The HCF of 9861,1214 is 1.
Lets's calculate GCF of 9861,1214
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9861,1214 By Matching Biggest Common Factor Method
Now, list down the factors of 9861
:1,3,19,57,173,519,3287,9861
Now, list down the factors of 1214
:1,2,607,1214
Greatest Common Factor
We found the factors 9861,1214 . The biggest common factor number is the GCF number.
So the greatest common factor 9861,1214 is 1.
Lets's calculate LCM of 645,2999
Given numbers has no common factors except 1. So, there LCM is their product i.e 1934355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1934355
Therefore, the GCF of Fractions 9861/645,1214/2999 is 1/1934355
Least Common Multiple of 645,2999 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 645,2999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,2999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(645,2999) x common factors =1 x 1 = 1
LCM(645,2999) = ( 645 × 2999 ) / 1
LCM(645,2999) = 1934355 / 1
LCM(645,2999) = 1934355
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FAQs on GCF of Fractions of 9861/645, 1214/2999
1. What is the HCF of 9861,1214?
The HCF of 9861,1214 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 9861/645, 1214/2999?
Answer: GCF of Numerators as per given numbers 9861/645, 1214/2999 is
GCF of Numerators i.e. for 9861,1214 is 1
LCM of denominators i.e. for 645,2999 is 1934355.
Thus, GCF of Fractions is 1/1934355.Finally, GCF of Fractions for 9861/645, 1214/2999 is 1/1934355.