GCF of 265/35, 200/6144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 265/35, 200/6144 i.e 5/215040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 265/35, 200/6144.
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 265/35,200/6144?
Given fractions are 265/35,200/6144
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 265/35,200/6144, numerators are 265,200
Denominators are 35,6144
The GCF of 265,200 is 5 .
LCM of 35,6144 is 215040.
The greatest common factor of 265/35,200/6144 = [GCF of 265,200]/[LCM of 35,6144]= 5/215040
Therefore, the GCF of 265/35,200/6144 is 5/215040.
To find the highest common factor of 265,200, we have to find the factors of both numbers and list the highest common factor.
The factors of 265 are 1, 5, 53, 265
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The HCF of 265,200 is 5.
Lets's calculate GCF of 265,200
| 5 | 265, 200 |
| 53, 40 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 265,200 By Matching Biggest Common Factor Method
Now, list down the factors of 265
:1,5,53,265
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 265,200 . The biggest common factor number is the GCF number.
So the greatest common factor 265,200 is 5.
Lets's calculate LCM of 35,6144
Given numbers has no common factors except 1. So, there LCM is their product i.e 215040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/215040
Therefore, the GCF of Fractions 265/35,200/6144 is 5/215040
Least Common Multiple of 35,6144 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 35,6144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,6144) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,6144) x common factors =1 x 1 = 1
LCM(35,6144) = ( 35 × 6144 ) / 1
LCM(35,6144) = 215040 / 1
LCM(35,6144) = 215040
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FAQs on GCF of Fractions of 265/35, 200/6144
1. What is the HCF of 265,200?
The HCF of 265,200 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 265/35, 200/6144?
Answer: GCF of Numerators as per given numbers 265/35, 200/6144 is
GCF of Numerators i.e. for 265,200 is 5
LCM of denominators i.e. for 35,6144 is 215040.
Thus, GCF of Fractions is 5/215040.Finally, GCF of Fractions for 265/35, 200/6144 is 5/215040.