GCF of 6206/758, 8652/2346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6206/758, 8652/2346 i.e 2/889134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6206/758, 8652/2346.
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 6206/758,8652/2346?
Given fractions are 6206/758,8652/2346
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 6206/758,8652/2346, numerators are 6206,8652
Denominators are 758,2346
The GCF of 6206,8652 is 2 .
LCM of 758,2346 is 889134.
The greatest common factor of 6206/758,8652/2346 = [GCF of 6206,8652]/[LCM of 758,2346]= 2/889134
Therefore, the GCF of 6206/758,8652/2346 is 2/889134.
To find the highest common factor of 6206,8652, we have to find the factors of both numbers and list the highest common factor.
The factors of 6206 are 1, 2, 29, 58, 107, 214, 3103, 6206
The factors of 8652 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326, 8652
The HCF of 6206,8652 is 2.
Lets's calculate GCF of 6206,8652
| 2 | 6206, 8652 |
| 3103, 4326 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6206,8652 By Matching Biggest Common Factor Method
Now, list down the factors of 6206
:1,2,29,58,107,214,3103,6206
Now, list down the factors of 8652
:1,2,3,4,6,7,12,14,21,28,42,84,103,206,309,412,618,721,1236,1442,2163,2884,4326,8652
Greatest Common Factor
We found the factors 6206,8652 . The biggest common factor number is the GCF number.
So the greatest common factor 6206,8652 is 2.
Lets's calculate LCM of 758,2346
| 2 | 758, 2346 |
| 379, 1173 |
∴ So the LCM of the given numbers is 2 x 379 x 1173 = 889134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/889134
Therefore, the GCF of Fractions 6206/758,8652/2346 is 2/889134
Least Common Multiple of 758,2346 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 758,2346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,2346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,2346) x common factors =2 x 1 = 2
LCM(758,2346) = ( 758 × 2346 ) / 2
LCM(758,2346) = 1778268 / 2
LCM(758,2346) = 889134
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FAQs on GCF of Fractions of 6206/758, 8652/2346
1. What is the HCF of 6206,8652?
The HCF of 6206,8652 is 2
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 6206/758, 8652/2346?
Answer: GCF of Numerators as per given numbers 6206/758, 8652/2346 is
GCF of Numerators i.e. for 6206,8652 is 2
LCM of denominators i.e. for 758,2346 is 889134.
Thus, GCF of Fractions is 2/889134.Finally, GCF of Fractions for 6206/758, 8652/2346 is 2/889134.