GCF of 4628/905, 4797/318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4628/905, 4797/318 i.e 13/287790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4628/905, 4797/318.
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 4628/905,4797/318?
Given fractions are 4628/905,4797/318
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 4628/905,4797/318, numerators are 4628,4797
Denominators are 905,318
The GCF of 4628,4797 is 13 .
LCM of 905,318 is 287790.
The greatest common factor of 4628/905,4797/318 = [GCF of 4628,4797]/[LCM of 905,318]= 13/287790
Therefore, the GCF of 4628/905,4797/318 is 13/287790.
To find the highest common factor of 4628,4797, we have to find the factors of both numbers and list the highest common factor.
The factors of 4628 are 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628
The factors of 4797 are 1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797
The HCF of 4628,4797 is 13.
Lets's calculate GCF of 4628,4797
| 13 | 4628, 4797 |
| 356, 369 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4628,4797 By Matching Biggest Common Factor Method
Now, list down the factors of 4628
:1,2,4,13,26,52,89,178,356,1157,2314,4628
Now, list down the factors of 4797
:1,3,9,13,39,41,117,123,369,533,1599,4797
Greatest Common Factor
We found the factors 4628,4797 . The biggest common factor number is the GCF number.
So the greatest common factor 4628,4797 is 13.
Lets's calculate LCM of 905,318
Given numbers has no common factors except 1. So, there LCM is their product i.e 287790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/287790
Therefore, the GCF of Fractions 4628/905,4797/318 is 13/287790
Least Common Multiple of 905,318 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 905,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,318) x common factors =1 x 1 = 1
LCM(905,318) = ( 905 × 318 ) / 1
LCM(905,318) = 287790 / 1
LCM(905,318) = 287790
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4628/905, 4797/318
1. What is the HCF of 4628,4797?
The HCF of 4628,4797 is 13
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 4628/905, 4797/318?
Answer: GCF of Numerators as per given numbers 4628/905, 4797/318 is
GCF of Numerators i.e. for 4628,4797 is 13
LCM of denominators i.e. for 905,318 is 287790.
Thus, GCF of Fractions is 13/287790.Finally, GCF of Fractions for 4628/905, 4797/318 is 13/287790.