GCF of 3879/717, 3220/9649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3879/717, 3220/9649 i.e 1/6918333 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3879/717, 3220/9649.
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 3879/717,3220/9649?
Given fractions are 3879/717,3220/9649
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 3879/717,3220/9649, numerators are 3879,3220
Denominators are 717,9649
The GCF of 3879,3220 is 1 .
LCM of 717,9649 is 6918333.
The greatest common factor of 3879/717,3220/9649 = [GCF of 3879,3220]/[LCM of 717,9649]= 1/6918333
Therefore, the GCF of 3879/717,3220/9649 is 1/6918333.
To find the highest common factor of 3879,3220, we have to find the factors of both numbers and list the highest common factor.
The factors of 3879 are 1, 3, 9, 431, 1293, 3879
The factors of 3220 are 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610, 3220
The HCF of 3879,3220 is 1.
Lets's calculate GCF of 3879,3220
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3879,3220 By Matching Biggest Common Factor Method
Now, list down the factors of 3879
:1,3,9,431,1293,3879
Now, list down the factors of 3220
:1,2,4,5,7,10,14,20,23,28,35,46,70,92,115,140,161,230,322,460,644,805,1610,3220
Greatest Common Factor
We found the factors 3879,3220 . The biggest common factor number is the GCF number.
So the greatest common factor 3879,3220 is 1.
Lets's calculate LCM of 717,9649
Given numbers has no common factors except 1. So, there LCM is their product i.e 6918333
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6918333
Therefore, the GCF of Fractions 3879/717,3220/9649 is 1/6918333
Least Common Multiple of 717,9649 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 717,9649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,9649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,9649) x common factors =1 x 1 = 1
LCM(717,9649) = ( 717 × 9649 ) / 1
LCM(717,9649) = 6918333 / 1
LCM(717,9649) = 6918333
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FAQs on GCF of Fractions of 3879/717, 3220/9649
1. What is the HCF of 3879,3220?
The HCF of 3879,3220 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 3879/717, 3220/9649?
Answer: GCF of Numerators as per given numbers 3879/717, 3220/9649 is
GCF of Numerators i.e. for 3879,3220 is 1
LCM of denominators i.e. for 717,9649 is 6918333.
Thus, GCF of Fractions is 1/6918333.Finally, GCF of Fractions for 3879/717, 3220/9649 is 1/6918333.