GCF of 6611/513, 6213/231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6611/513, 6213/231 i.e 1/39501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6611/513, 6213/231.
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 6611/513,6213/231?
Given fractions are 6611/513,6213/231
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 6611/513,6213/231, numerators are 6611,6213
Denominators are 513,231
The GCF of 6611,6213 is 1 .
LCM of 513,231 is 39501.
The greatest common factor of 6611/513,6213/231 = [GCF of 6611,6213]/[LCM of 513,231]= 1/39501
Therefore, the GCF of 6611/513,6213/231 is 1/39501.
To find the highest common factor of 6611,6213, we have to find the factors of both numbers and list the highest common factor.
The factors of 6611 are 1, 11, 601, 6611
The factors of 6213 are 1, 3, 19, 57, 109, 327, 2071, 6213
The HCF of 6611,6213 is 1.
Lets's calculate GCF of 6611,6213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6611,6213 By Matching Biggest Common Factor Method
Now, list down the factors of 6611
:1,11,601,6611
Now, list down the factors of 6213
:1,3,19,57,109,327,2071,6213
Greatest Common Factor
We found the factors 6611,6213 . The biggest common factor number is the GCF number.
So the greatest common factor 6611,6213 is 1.
Lets's calculate LCM of 513,231
| 3 | 513, 231 |
| 171, 77 |
∴ So the LCM of the given numbers is 3 x 171 x 77 = 39501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39501
Therefore, the GCF of Fractions 6611/513,6213/231 is 1/39501
Least Common Multiple of 513,231 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 513,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,231) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,231) x common factors =3 x 1 = 3
LCM(513,231) = ( 513 × 231 ) / 3
LCM(513,231) = 118503 / 3
LCM(513,231) = 39501
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FAQs on GCF of Fractions of 6611/513, 6213/231
1. What is the HCF of 6611,6213?
The HCF of 6611,6213 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 6611/513, 6213/231?
Answer: GCF of Numerators as per given numbers 6611/513, 6213/231 is
GCF of Numerators i.e. for 6611,6213 is 1
LCM of denominators i.e. for 513,231 is 39501.
Thus, GCF of Fractions is 1/39501.Finally, GCF of Fractions for 6611/513, 6213/231 is 1/39501.