GCF of 2679/606, 6577/1218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2679/606, 6577/1218 i.e 1/123018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2679/606, 6577/1218.
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 2679/606,6577/1218?
Given fractions are 2679/606,6577/1218
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 2679/606,6577/1218, numerators are 2679,6577
Denominators are 606,1218
The GCF of 2679,6577 is 1 .
LCM of 606,1218 is 123018.
The greatest common factor of 2679/606,6577/1218 = [GCF of 2679,6577]/[LCM of 606,1218]= 1/123018
Therefore, the GCF of 2679/606,6577/1218 is 1/123018.
To find the highest common factor of 2679,6577, we have to find the factors of both numbers and list the highest common factor.
The factors of 2679 are 1, 3, 19, 47, 57, 141, 893, 2679
The factors of 6577 are 1, 6577
The HCF of 2679,6577 is 1.
Lets's calculate GCF of 2679,6577
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2679,6577 By Matching Biggest Common Factor Method
Now, list down the factors of 2679
:1,3,19,47,57,141,893,2679
Now, list down the factors of 6577
:1,6577
Greatest Common Factor
We found the factors 2679,6577 . The biggest common factor number is the GCF number.
So the greatest common factor 2679,6577 is 1.
Lets's calculate LCM of 606,1218
| 2 | 606, 1218 |
| 3 | 303, 609 |
| 101, 203 |
∴ So the LCM of the given numbers is 2 x 3 x 101 x 203 = 123018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123018
Therefore, the GCF of Fractions 2679/606,6577/1218 is 1/123018
Least Common Multiple of 606,1218 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 606,1218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,1218) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(606,1218) x common factors =6 x 1 = 6
LCM(606,1218) = ( 606 × 1218 ) / 6
LCM(606,1218) = 738108 / 6
LCM(606,1218) = 123018
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FAQs on GCF of Fractions of 2679/606, 6577/1218
1. What is the HCF of 2679,6577?
The HCF of 2679,6577 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 2679/606, 6577/1218?
Answer: GCF of Numerators as per given numbers 2679/606, 6577/1218 is
GCF of Numerators i.e. for 2679,6577 is 1
LCM of denominators i.e. for 606,1218 is 123018.
Thus, GCF of Fractions is 1/123018.Finally, GCF of Fractions for 2679/606, 6577/1218 is 1/123018.