GCF of 250/827, 360/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 250/827, 360/105 i.e 10/86835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 250/827, 360/105.
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 250/827,360/105?
Given fractions are 250/827,360/105
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 250/827,360/105, numerators are 250,360
Denominators are 827,105
The GCF of 250,360 is 10 .
LCM of 827,105 is 86835.
The greatest common factor of 250/827,360/105 = [GCF of 250,360]/[LCM of 827,105]= 10/86835
Therefore, the GCF of 250/827,360/105 is 10/86835.
To find the highest common factor of 250,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250
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 HCF of 250,360 is 10.
Lets's calculate GCF of 250,360
| 2 | 250, 360 |
| 5 | 125, 180 |
| 25, 36 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 250,360 By Matching Biggest Common Factor Method
Now, list down the factors of 250
:1,2,5,10,25,50,125,250
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
Greatest Common Factor
We found the factors 250,360 . The biggest common factor number is the GCF number.
So the greatest common factor 250,360 is 10.
Lets's calculate LCM of 827,105
Given numbers has no common factors except 1. So, there LCM is their product i.e 86835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/86835
Therefore, the GCF of Fractions 250/827,360/105 is 10/86835
Least Common Multiple of 827,105 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 827,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,105) x common factors =1 x 1 = 1
LCM(827,105) = ( 827 × 105 ) / 1
LCM(827,105) = 86835 / 1
LCM(827,105) = 86835
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FAQs on GCF of Fractions of 250/827, 360/105
1. What is the HCF of 250,360?
The HCF of 250,360 is 10
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 250/827, 360/105?
Answer: GCF of Numerators as per given numbers 250/827, 360/105 is
GCF of Numerators i.e. for 250,360 is 10
LCM of denominators i.e. for 827,105 is 86835.
Thus, GCF of Fractions is 10/86835.Finally, GCF of Fractions for 250/827, 360/105 is 10/86835.