GCF of 7905/206, 2799/5146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7905/206, 2799/5146 i.e 3/530038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7905/206, 2799/5146.
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 7905/206,2799/5146?
Given fractions are 7905/206,2799/5146
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 7905/206,2799/5146, numerators are 7905,2799
Denominators are 206,5146
The GCF of 7905,2799 is 3 .
LCM of 206,5146 is 530038.
The greatest common factor of 7905/206,2799/5146 = [GCF of 7905,2799]/[LCM of 206,5146]= 3/530038
Therefore, the GCF of 7905/206,2799/5146 is 3/530038.
To find the highest common factor of 7905,2799, we have to find the factors of both numbers and list the highest common factor.
The factors of 7905 are 1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635, 7905
The factors of 2799 are 1, 3, 9, 311, 933, 2799
The HCF of 7905,2799 is 3.
Lets's calculate GCF of 7905,2799
| 3 | 7905, 2799 |
| 2635, 933 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7905,2799 By Matching Biggest Common Factor Method
Now, list down the factors of 7905
:1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905
Now, list down the factors of 2799
:1,3,9,311,933,2799
Greatest Common Factor
We found the factors 7905,2799 . The biggest common factor number is the GCF number.
So the greatest common factor 7905,2799 is 3.
Lets's calculate LCM of 206,5146
| 2 | 206, 5146 |
| 103, 2573 |
∴ So the LCM of the given numbers is 2 x 103 x 2573 = 530038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/530038
Therefore, the GCF of Fractions 7905/206,2799/5146 is 3/530038
Least Common Multiple of 206,5146 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 206,5146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,5146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,5146) x common factors =2 x 1 = 2
LCM(206,5146) = ( 206 × 5146 ) / 2
LCM(206,5146) = 1060076 / 2
LCM(206,5146) = 530038
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FAQs on GCF of Fractions of 7905/206, 2799/5146
1. What is the HCF of 7905,2799?
The HCF of 7905,2799 is 3
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 7905/206, 2799/5146?
Answer: GCF of Numerators as per given numbers 7905/206, 2799/5146 is
GCF of Numerators i.e. for 7905,2799 is 3
LCM of denominators i.e. for 206,5146 is 530038.
Thus, GCF of Fractions is 3/530038.Finally, GCF of Fractions for 7905/206, 2799/5146 is 3/530038.