GCF of 4150/766, 5975/2216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4150/766, 5975/2216 i.e 25/848728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4150/766, 5975/2216.
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 4150/766,5975/2216?
Given fractions are 4150/766,5975/2216
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 4150/766,5975/2216, numerators are 4150,5975
Denominators are 766,2216
The GCF of 4150,5975 is 25 .
LCM of 766,2216 is 848728.
The greatest common factor of 4150/766,5975/2216 = [GCF of 4150,5975]/[LCM of 766,2216]= 25/848728
Therefore, the GCF of 4150/766,5975/2216 is 25/848728.
To find the highest common factor of 4150,5975, we have to find the factors of both numbers and list the highest common factor.
The factors of 4150 are 1, 2, 5, 10, 25, 50, 83, 166, 415, 830, 2075, 4150
The factors of 5975 are 1, 5, 25, 239, 1195, 5975
The HCF of 4150,5975 is 25.
Lets's calculate GCF of 4150,5975
| 5 | 4150, 5975 |
| 5 | 830, 1195 |
| 166, 239 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 4150,5975 By Matching Biggest Common Factor Method
Now, list down the factors of 4150
:1,2,5,10,25,50,83,166,415,830,2075,4150
Now, list down the factors of 5975
:1,5,25,239,1195,5975
Greatest Common Factor
We found the factors 4150,5975 . The biggest common factor number is the GCF number.
So the greatest common factor 4150,5975 is 25.
Lets's calculate LCM of 766,2216
| 2 | 766, 2216 |
| 383, 1108 |
∴ So the LCM of the given numbers is 2 x 383 x 1108 = 848728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/848728
Therefore, the GCF of Fractions 4150/766,5975/2216 is 25/848728
Least Common Multiple of 766,2216 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 766,2216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,2216) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,2216) x common factors =2 x 1 = 2
LCM(766,2216) = ( 766 × 2216 ) / 2
LCM(766,2216) = 1697456 / 2
LCM(766,2216) = 848728
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FAQs on GCF of Fractions of 4150/766, 5975/2216
1. What is the HCF of 4150,5975?
The HCF of 4150,5975 is 25
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 4150/766, 5975/2216?
Answer: GCF of Numerators as per given numbers 4150/766, 5975/2216 is
GCF of Numerators i.e. for 4150,5975 is 25
LCM of denominators i.e. for 766,2216 is 848728.
Thus, GCF of Fractions is 25/848728.Finally, GCF of Fractions for 4150/766, 5975/2216 is 25/848728.