GCF of 4695/778, 6165/4605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4695/778, 6165/4605 i.e 15/3582690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4695/778, 6165/4605.
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 4695/778,6165/4605?
Given fractions are 4695/778,6165/4605
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 4695/778,6165/4605, numerators are 4695,6165
Denominators are 778,4605
The GCF of 4695,6165 is 15 .
LCM of 778,4605 is 3582690.
The greatest common factor of 4695/778,6165/4605 = [GCF of 4695,6165]/[LCM of 778,4605]= 15/3582690
Therefore, the GCF of 4695/778,6165/4605 is 15/3582690.
To find the highest common factor of 4695,6165, we have to find the factors of both numbers and list the highest common factor.
The factors of 4695 are 1, 3, 5, 15, 313, 939, 1565, 4695
The factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165
The HCF of 4695,6165 is 15.
Lets's calculate GCF of 4695,6165
| 3 | 4695, 6165 |
| 5 | 1565, 2055 |
| 313, 411 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 4695,6165 By Matching Biggest Common Factor Method
Now, list down the factors of 4695
:1,3,5,15,313,939,1565,4695
Now, list down the factors of 6165
:1,3,5,9,15,45,137,411,685,1233,2055,6165
Greatest Common Factor
We found the factors 4695,6165 . The biggest common factor number is the GCF number.
So the greatest common factor 4695,6165 is 15.
Lets's calculate LCM of 778,4605
Given numbers has no common factors except 1. So, there LCM is their product i.e 3582690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/3582690
Therefore, the GCF of Fractions 4695/778,6165/4605 is 15/3582690
Least Common Multiple of 778,4605 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 778,4605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,4605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,4605) x common factors =1 x 1 = 1
LCM(778,4605) = ( 778 × 4605 ) / 1
LCM(778,4605) = 3582690 / 1
LCM(778,4605) = 3582690
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FAQs on GCF of Fractions of 4695/778, 6165/4605
1. What is the HCF of 4695,6165?
The HCF of 4695,6165 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 4695/778, 6165/4605?
Answer: GCF of Numerators as per given numbers 4695/778, 6165/4605 is
GCF of Numerators i.e. for 4695,6165 is 15
LCM of denominators i.e. for 778,4605 is 3582690.
Thus, GCF of Fractions is 15/3582690.Finally, GCF of Fractions for 4695/778, 6165/4605 is 15/3582690.