GCF of 360/280, 4815/526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 360/280, 4815/526 i.e 45/73640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 360/280, 4815/526.
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 360/280,4815/526?
Given fractions are 360/280,4815/526
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 360/280,4815/526, numerators are 360,4815
Denominators are 280,526
The GCF of 360,4815 is 45 .
LCM of 280,526 is 73640.
The greatest common factor of 360/280,4815/526 = [GCF of 360,4815]/[LCM of 280,526]= 45/73640
Therefore, the GCF of 360/280,4815/526 is 45/73640.
To find the highest common factor of 360,4815, we have to find the factors of both numbers and list the highest common factor.
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The factors of 4815 are 1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815
The HCF of 360,4815 is 45.
Lets's calculate GCF of 360,4815
| 3 | 360, 4815 |
| 3 | 120, 1605 |
| 5 | 40, 535 |
| 8, 107 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Greatest Common Factor of 360,4815 By Matching Biggest Common Factor Method
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Now, list down the factors of 4815
:1,3,5,9,15,45,107,321,535,963,1605,4815
Greatest Common Factor
We found the factors 360,4815 . The biggest common factor number is the GCF number.
So the greatest common factor 360,4815 is 45.
Lets's calculate LCM of 280,526
| 2 | 280, 526 |
| 140, 263 |
∴ So the LCM of the given numbers is 2 x 140 x 263 = 73640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/73640
Therefore, the GCF of Fractions 360/280,4815/526 is 45/73640
Least Common Multiple of 280,526 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 280,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,526) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(280,526) x common factors =2 x 1 = 2
LCM(280,526) = ( 280 × 526 ) / 2
LCM(280,526) = 147280 / 2
LCM(280,526) = 73640
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FAQs on GCF of Fractions of 360/280, 4815/526
1. What is the HCF of 360,4815?
The HCF of 360,4815 is 45
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 360/280, 4815/526?
Answer: GCF of Numerators as per given numbers 360/280, 4815/526 is
GCF of Numerators i.e. for 360,4815 is 45
LCM of denominators i.e. for 280,526 is 73640.
Thus, GCF of Fractions is 45/73640.Finally, GCF of Fractions for 360/280, 4815/526 is 45/73640.