GCF of 8260/455, 8968/433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8260/455, 8968/433 i.e 236/197015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8260/455, 8968/433.
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 8260/455,8968/433?
Given fractions are 8260/455,8968/433
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 8260/455,8968/433, numerators are 8260,8968
Denominators are 455,433
The GCF of 8260,8968 is 236 .
LCM of 455,433 is 197015.
The greatest common factor of 8260/455,8968/433 = [GCF of 8260,8968]/[LCM of 455,433]= 236/197015
Therefore, the GCF of 8260/455,8968/433 is 236/197015.
To find the highest common factor of 8260,8968, we have to find the factors of both numbers and list the highest common factor.
The factors of 8260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260
The factors of 8968 are 1, 2, 4, 8, 19, 38, 59, 76, 118, 152, 236, 472, 1121, 2242, 4484, 8968
The HCF of 8260,8968 is 236.
Lets's calculate GCF of 8260,8968
| 2 | 8260, 8968 |
| 2 | 4130, 4484 |
| 59 | 2065, 2242 |
| 35, 38 |
∴ So the GCF of the given numbers is 2 x 2 x 59 = 236
Greatest Common Factor of 8260,8968 By Matching Biggest Common Factor Method
Now, list down the factors of 8260
:1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260
Now, list down the factors of 8968
:1,2,4,8,19,38,59,76,118,152,236,472,1121,2242,4484,8968
Greatest Common Factor
We found the factors 8260,8968 . The biggest common factor number is the GCF number.
So the greatest common factor 8260,8968 is 236.
Lets's calculate LCM of 455,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 197015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 236/197015
Therefore, the GCF of Fractions 8260/455,8968/433 is 236/197015
Least Common Multiple of 455,433 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 455,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,433) x common factors =1 x 1 = 1
LCM(455,433) = ( 455 × 433 ) / 1
LCM(455,433) = 197015 / 1
LCM(455,433) = 197015
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FAQs on GCF of Fractions of 8260/455, 8968/433
1. What is the HCF of 8260,8968?
The HCF of 8260,8968 is 236
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 8260/455, 8968/433?
Answer: GCF of Numerators as per given numbers 8260/455, 8968/433 is
GCF of Numerators i.e. for 8260,8968 is 236
LCM of denominators i.e. for 455,433 is 197015.
Thus, GCF of Fractions is 236/197015.Finally, GCF of Fractions for 8260/455, 8968/433 is 236/197015.