GCF of 8360/455, 1276/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8360/455, 1276/565 i.e 44/51415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8360/455, 1276/565.
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 8360/455,1276/565?
Given fractions are 8360/455,1276/565
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 8360/455,1276/565, numerators are 8360,1276
Denominators are 455,565
The GCF of 8360,1276 is 44 .
LCM of 455,565 is 51415.
The greatest common factor of 8360/455,1276/565 = [GCF of 8360,1276]/[LCM of 455,565]= 44/51415
Therefore, the GCF of 8360/455,1276/565 is 44/51415.
To find the highest common factor of 8360,1276, we have to find the factors of both numbers and list the highest common factor.
The factors of 8360 are 1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360
The factors of 1276 are 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276
The HCF of 8360,1276 is 44.
Lets's calculate GCF of 8360,1276
| 2 | 8360, 1276 |
| 2 | 4180, 638 |
| 11 | 2090, 319 |
| 190, 29 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Greatest Common Factor of 8360,1276 By Matching Biggest Common Factor Method
Now, list down the factors of 8360
:1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360
Now, list down the factors of 1276
:1,2,4,11,22,29,44,58,116,319,638,1276
Greatest Common Factor
We found the factors 8360,1276 . The biggest common factor number is the GCF number.
So the greatest common factor 8360,1276 is 44.
Lets's calculate LCM of 455,565
| 5 | 455, 565 |
| 91, 113 |
∴ So the LCM of the given numbers is 5 x 91 x 113 = 51415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/51415
Therefore, the GCF of Fractions 8360/455,1276/565 is 44/51415
Least Common Multiple of 455,565 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 455,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,565) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(455,565) x common factors =5 x 1 = 5
LCM(455,565) = ( 455 × 565 ) / 5
LCM(455,565) = 257075 / 5
LCM(455,565) = 51415
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8360/455, 1276/565
1. What is the HCF of 8360,1276?
The HCF of 8360,1276 is 44
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 8360/455, 1276/565?
Answer: GCF of Numerators as per given numbers 8360/455, 1276/565 is
GCF of Numerators i.e. for 8360,1276 is 44
LCM of denominators i.e. for 455,565 is 51415.
Thus, GCF of Fractions is 44/51415.Finally, GCF of Fractions for 8360/455, 1276/565 is 44/51415.