GCF of 246/794, 8979/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 246/794, 8979/565 i.e 123/448610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/794, 8979/565.
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 246/794,8979/565?
Given fractions are 246/794,8979/565
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 246/794,8979/565, numerators are 246,8979
Denominators are 794,565
The GCF of 246,8979 is 123 .
LCM of 794,565 is 448610.
The greatest common factor of 246/794,8979/565 = [GCF of 246,8979]/[LCM of 794,565]= 123/448610
Therefore, the GCF of 246/794,8979/565 is 123/448610.
To find the highest common factor of 246,8979, we have to find the factors of both numbers and list the highest common factor.
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246
The factors of 8979 are 1, 3, 41, 73, 123, 219, 2993, 8979
The HCF of 246,8979 is 123.
Lets's calculate GCF of 246,8979
| 3 | 246, 8979 |
| 41 | 82, 2993 |
| 2, 73 |
∴ So the GCF of the given numbers is 3 x 41 = 123
Greatest Common Factor of 246,8979 By Matching Biggest Common Factor Method
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Now, list down the factors of 8979
:1,3,41,73,123,219,2993,8979
Greatest Common Factor
We found the factors 246,8979 . The biggest common factor number is the GCF number.
So the greatest common factor 246,8979 is 123.
Lets's calculate LCM of 794,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 448610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 123/448610
Therefore, the GCF of Fractions 246/794,8979/565 is 123/448610
Least Common Multiple of 794,565 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 794,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(794,565) x common factors =1 x 1 = 1
LCM(794,565) = ( 794 × 565 ) / 1
LCM(794,565) = 448610 / 1
LCM(794,565) = 448610
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 246/794, 8979/565
1. What is the HCF of 246,8979?
The HCF of 246,8979 is 123
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 246/794, 8979/565?
Answer: GCF of Numerators as per given numbers 246/794, 8979/565 is
GCF of Numerators i.e. for 246,8979 is 123
LCM of denominators i.e. for 794,565 is 448610.
Thus, GCF of Fractions is 123/448610.Finally, GCF of Fractions for 246/794, 8979/565 is 123/448610.