GCF of 9106/765, 6206/280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9106/765, 6206/280 i.e 58/42840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9106/765, 6206/280.
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 9106/765,6206/280?
Given fractions are 9106/765,6206/280
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 9106/765,6206/280, numerators are 9106,6206
Denominators are 765,280
The GCF of 9106,6206 is 58 .
LCM of 765,280 is 42840.
The greatest common factor of 9106/765,6206/280 = [GCF of 9106,6206]/[LCM of 765,280]= 58/42840
Therefore, the GCF of 9106/765,6206/280 is 58/42840.
To find the highest common factor of 9106,6206, we have to find the factors of both numbers and list the highest common factor.
The factors of 9106 are 1, 2, 29, 58, 157, 314, 4553, 9106
The factors of 6206 are 1, 2, 29, 58, 107, 214, 3103, 6206
The HCF of 9106,6206 is 58.
Lets's calculate GCF of 9106,6206
| 2 | 9106, 6206 |
| 29 | 4553, 3103 |
| 157, 107 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 9106,6206 By Matching Biggest Common Factor Method
Now, list down the factors of 9106
:1,2,29,58,157,314,4553,9106
Now, list down the factors of 6206
:1,2,29,58,107,214,3103,6206
Greatest Common Factor
We found the factors 9106,6206 . The biggest common factor number is the GCF number.
So the greatest common factor 9106,6206 is 58.
Lets's calculate LCM of 765,280
| 5 | 765, 280 |
| 153, 56 |
∴ So the LCM of the given numbers is 5 x 153 x 56 = 42840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/42840
Therefore, the GCF of Fractions 9106/765,6206/280 is 58/42840
Least Common Multiple of 765,280 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 765,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,280) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(765,280) x common factors =5 x 1 = 5
LCM(765,280) = ( 765 × 280 ) / 5
LCM(765,280) = 214200 / 5
LCM(765,280) = 42840
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FAQs on GCF of Fractions of 9106/765, 6206/280
1. What is the HCF of 9106,6206?
The HCF of 9106,6206 is 58
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 9106/765, 6206/280?
Answer: GCF of Numerators as per given numbers 9106/765, 6206/280 is
GCF of Numerators i.e. for 9106,6206 is 58
LCM of denominators i.e. for 765,280 is 42840.
Thus, GCF of Fractions is 58/42840.Finally, GCF of Fractions for 9106/765, 6206/280 is 58/42840.