GCF of 6419/516, 1211/6258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6419/516, 1211/6258 i.e 7/538188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6419/516, 1211/6258.
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 6419/516,1211/6258?
Given fractions are 6419/516,1211/6258
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 6419/516,1211/6258, numerators are 6419,1211
Denominators are 516,6258
The GCF of 6419,1211 is 7 .
LCM of 516,6258 is 538188.
The greatest common factor of 6419/516,1211/6258 = [GCF of 6419,1211]/[LCM of 516,6258]= 7/538188
Therefore, the GCF of 6419/516,1211/6258 is 7/538188.
To find the highest common factor of 6419,1211, we have to find the factors of both numbers and list the highest common factor.
The factors of 6419 are 1, 7, 49, 131, 917, 6419
The factors of 1211 are 1, 7, 173, 1211
The HCF of 6419,1211 is 7.
Lets's calculate GCF of 6419,1211
| 7 | 6419, 1211 |
| 917, 173 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6419,1211 By Matching Biggest Common Factor Method
Now, list down the factors of 6419
:1,7,49,131,917,6419
Now, list down the factors of 1211
:1,7,173,1211
Greatest Common Factor
We found the factors 6419,1211 . The biggest common factor number is the GCF number.
So the greatest common factor 6419,1211 is 7.
Lets's calculate LCM of 516,6258
| 2 | 516, 6258 |
| 3 | 258, 3129 |
| 86, 1043 |
∴ So the LCM of the given numbers is 2 x 3 x 86 x 1043 = 538188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/538188
Therefore, the GCF of Fractions 6419/516,1211/6258 is 7/538188
Least Common Multiple of 516,6258 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 516,6258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,6258) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(516,6258) x common factors =6 x 1 = 6
LCM(516,6258) = ( 516 × 6258 ) / 6
LCM(516,6258) = 3229128 / 6
LCM(516,6258) = 538188
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FAQs on GCF of Fractions of 6419/516, 1211/6258
1. What is the HCF of 6419,1211?
The HCF of 6419,1211 is 7
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 6419/516, 1211/6258?
Answer: GCF of Numerators as per given numbers 6419/516, 1211/6258 is
GCF of Numerators i.e. for 6419,1211 is 7
LCM of denominators i.e. for 516,6258 is 538188.
Thus, GCF of Fractions is 7/538188.Finally, GCF of Fractions for 6419/516, 1211/6258 is 7/538188.