GCF of 8862/955, 7946/2712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8862/955, 7946/2712 i.e 2/2589960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8862/955, 7946/2712.
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 8862/955,7946/2712?
Given fractions are 8862/955,7946/2712
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 8862/955,7946/2712, numerators are 8862,7946
Denominators are 955,2712
The GCF of 8862,7946 is 2 .
LCM of 955,2712 is 2589960.
The greatest common factor of 8862/955,7946/2712 = [GCF of 8862,7946]/[LCM of 955,2712]= 2/2589960
Therefore, the GCF of 8862/955,7946/2712 is 2/2589960.
To find the highest common factor of 8862,7946, we have to find the factors of both numbers and list the highest common factor.
The factors of 8862 are 1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431, 8862
The factors of 7946 are 1, 2, 29, 58, 137, 274, 3973, 7946
The HCF of 8862,7946 is 2.
Lets's calculate GCF of 8862,7946
| 2 | 8862, 7946 |
| 4431, 3973 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8862,7946 By Matching Biggest Common Factor Method
Now, list down the factors of 8862
:1,2,3,6,7,14,21,42,211,422,633,1266,1477,2954,4431,8862
Now, list down the factors of 7946
:1,2,29,58,137,274,3973,7946
Greatest Common Factor
We found the factors 8862,7946 . The biggest common factor number is the GCF number.
So the greatest common factor 8862,7946 is 2.
Lets's calculate LCM of 955,2712
Given numbers has no common factors except 1. So, there LCM is their product i.e 2589960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2589960
Therefore, the GCF of Fractions 8862/955,7946/2712 is 2/2589960
Least Common Multiple of 955,2712 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 955,2712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,2712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,2712) x common factors =1 x 1 = 1
LCM(955,2712) = ( 955 × 2712 ) / 1
LCM(955,2712) = 2589960 / 1
LCM(955,2712) = 2589960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8862/955, 7946/2712
1. What is the HCF of 8862,7946?
The HCF of 8862,7946 is 2
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 8862/955, 7946/2712?
Answer: GCF of Numerators as per given numbers 8862/955, 7946/2712 is
GCF of Numerators i.e. for 8862,7946 is 2
LCM of denominators i.e. for 955,2712 is 2589960.
Thus, GCF of Fractions is 2/2589960.Finally, GCF of Fractions for 8862/955, 7946/2712 is 2/2589960.