GCF of 240/867, 5615/7814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 240/867, 5615/7814 i.e 5/6774738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 240/867, 5615/7814.
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 240/867,5615/7814?
Given fractions are 240/867,5615/7814
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 240/867,5615/7814, numerators are 240,5615
Denominators are 867,7814
The GCF of 240,5615 is 5 .
LCM of 867,7814 is 6774738.
The greatest common factor of 240/867,5615/7814 = [GCF of 240,5615]/[LCM of 867,7814]= 5/6774738
Therefore, the GCF of 240/867,5615/7814 is 5/6774738.
To find the highest common factor of 240,5615, we have to find the factors of both numbers and list the highest common factor.
The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
The factors of 5615 are 1, 5, 1123, 5615
The HCF of 240,5615 is 5.
Lets's calculate GCF of 240,5615
| 5 | 240, 5615 |
| 48, 1123 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 240,5615 By Matching Biggest Common Factor Method
Now, list down the factors of 240
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Now, list down the factors of 5615
:1,5,1123,5615
Greatest Common Factor
We found the factors 240,5615 . The biggest common factor number is the GCF number.
So the greatest common factor 240,5615 is 5.
Lets's calculate LCM of 867,7814
Given numbers has no common factors except 1. So, there LCM is their product i.e 6774738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6774738
Therefore, the GCF of Fractions 240/867,5615/7814 is 5/6774738
Least Common Multiple of 867,7814 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 867,7814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,7814) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,7814) x common factors =1 x 1 = 1
LCM(867,7814) = ( 867 × 7814 ) / 1
LCM(867,7814) = 6774738 / 1
LCM(867,7814) = 6774738
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FAQs on GCF of Fractions of 240/867, 5615/7814
1. What is the HCF of 240,5615?
The HCF of 240,5615 is 5
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 240/867, 5615/7814?
Answer: GCF of Numerators as per given numbers 240/867, 5615/7814 is
GCF of Numerators i.e. for 240,5615 is 5
LCM of denominators i.e. for 867,7814 is 6774738.
Thus, GCF of Fractions is 5/6774738.Finally, GCF of Fractions for 240/867, 5615/7814 is 5/6774738.