GCF of 6217/861, 3835/3588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6217/861, 3835/3588 i.e 1/1029756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6217/861, 3835/3588.
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 6217/861,3835/3588?
Given fractions are 6217/861,3835/3588
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 6217/861,3835/3588, numerators are 6217,3835
Denominators are 861,3588
The GCF of 6217,3835 is 1 .
LCM of 861,3588 is 1029756.
The greatest common factor of 6217/861,3835/3588 = [GCF of 6217,3835]/[LCM of 861,3588]= 1/1029756
Therefore, the GCF of 6217/861,3835/3588 is 1/1029756.
To find the highest common factor of 6217,3835, we have to find the factors of both numbers and list the highest common factor.
The factors of 6217 are 1, 6217
The factors of 3835 are 1, 5, 13, 59, 65, 295, 767, 3835
The HCF of 6217,3835 is 1.
Lets's calculate GCF of 6217,3835
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6217,3835 By Matching Biggest Common Factor Method
Now, list down the factors of 6217
:1,6217
Now, list down the factors of 3835
:1,5,13,59,65,295,767,3835
Greatest Common Factor
We found the factors 6217,3835 . The biggest common factor number is the GCF number.
So the greatest common factor 6217,3835 is 1.
Lets's calculate LCM of 861,3588
| 3 | 861, 3588 |
| 287, 1196 |
∴ So the LCM of the given numbers is 3 x 287 x 1196 = 1029756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1029756
Therefore, the GCF of Fractions 6217/861,3835/3588 is 1/1029756
Least Common Multiple of 861,3588 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 861,3588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,3588) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(861,3588) x common factors =3 x 1 = 3
LCM(861,3588) = ( 861 × 3588 ) / 3
LCM(861,3588) = 3089268 / 3
LCM(861,3588) = 1029756
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FAQs on GCF of Fractions of 6217/861, 3835/3588
1. What is the HCF of 6217,3835?
The HCF of 6217,3835 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 6217/861, 3835/3588?
Answer: GCF of Numerators as per given numbers 6217/861, 3835/3588 is
GCF of Numerators i.e. for 6217,3835 is 1
LCM of denominators i.e. for 861,3588 is 1029756.
Thus, GCF of Fractions is 1/1029756.Finally, GCF of Fractions for 6217/861, 3835/3588 is 1/1029756.