GCF of 9735/628, 4695/3678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9735/628, 4695/3678 i.e 15/1154892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9735/628, 4695/3678.
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 9735/628,4695/3678?
Given fractions are 9735/628,4695/3678
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 9735/628,4695/3678, numerators are 9735,4695
Denominators are 628,3678
The GCF of 9735,4695 is 15 .
LCM of 628,3678 is 1154892.
The greatest common factor of 9735/628,4695/3678 = [GCF of 9735,4695]/[LCM of 628,3678]= 15/1154892
Therefore, the GCF of 9735/628,4695/3678 is 15/1154892.
To find the highest common factor of 9735,4695, we have to find the factors of both numbers and list the highest common factor.
The factors of 9735 are 1, 3, 5, 11, 15, 33, 55, 59, 165, 177, 295, 649, 885, 1947, 3245, 9735
The factors of 4695 are 1, 3, 5, 15, 313, 939, 1565, 4695
The HCF of 9735,4695 is 15.
Lets's calculate GCF of 9735,4695
| 3 | 9735, 4695 |
| 5 | 3245, 1565 |
| 649, 313 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9735,4695 By Matching Biggest Common Factor Method
Now, list down the factors of 9735
:1,3,5,11,15,33,55,59,165,177,295,649,885,1947,3245,9735
Now, list down the factors of 4695
:1,3,5,15,313,939,1565,4695
Greatest Common Factor
We found the factors 9735,4695 . The biggest common factor number is the GCF number.
So the greatest common factor 9735,4695 is 15.
Lets's calculate LCM of 628,3678
| 2 | 628, 3678 |
| 314, 1839 |
∴ So the LCM of the given numbers is 2 x 314 x 1839 = 1154892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1154892
Therefore, the GCF of Fractions 9735/628,4695/3678 is 15/1154892
Least Common Multiple of 628,3678 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 628,3678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,3678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(628,3678) x common factors =2 x 1 = 2
LCM(628,3678) = ( 628 × 3678 ) / 2
LCM(628,3678) = 2309784 / 2
LCM(628,3678) = 1154892
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FAQs on GCF of Fractions of 9735/628, 4695/3678
1. What is the HCF of 9735,4695?
The HCF of 9735,4695 is 15
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 9735/628, 4695/3678?
Answer: GCF of Numerators as per given numbers 9735/628, 4695/3678 is
GCF of Numerators i.e. for 9735,4695 is 15
LCM of denominators i.e. for 628,3678 is 1154892.
Thus, GCF of Fractions is 15/1154892.Finally, GCF of Fractions for 9735/628, 4695/3678 is 15/1154892.