GCF of 375/56, 609/64, 190/51
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 375/56, 609/64, 190/51 i.e 1/22848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 375/56, 609/64, 190/51.
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 375/56,609/64,190/51?
Given fractions are 375/56,609/64,190/51
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 375/56,609/64,190/51, numerators are 375,609,190
Denominators are 56,64,51
The GCF of 375,609,190 is 1 .
LCM of 56,64,51 is 22848.
The greatest common factor of 375/56,609/64,190/51 = [GCF of 375,609,190]/[LCM of 56,64,51]= 1/22848
Therefore, the GCF of 375/56,609/64,190/51 is 1/22848.
To find the highest common factor of 375,609,190, we have to find the factors of both numbers and list the highest common factor.
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609
The factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190
The HCF of 375,609,190 is 1.
Lets's calculate GCF of 375,609,190
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 375,609,190 By Matching Biggest Common Factor Method
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Now, list down the factors of 609
:1,3,7,21,29,87,203,609
Now, list down the factors of 190
:1,2,5,10,19,38,95,190
Greatest Common Factor
We found the factors 375,609,190 . The biggest common factor number is the GCF number.
So the greatest common factor 375,609,190 is 1.
Lets's calculate LCM of 56,64,51
| 2 | 56, 64, 51 |
| 2 | 28, 32, 51 |
| 2 | 14, 16, 51 |
| 7, 8, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 8 x 51 = 22848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22848
Therefore, the GCF of Fractions 375/56,609/64,190/51 is 1/22848
Least Common Multiple of 56,64,51 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 56,64,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,64,51) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(56,64,51) x common factors =1 x 8 = 8
LCM(56,64,51) = ( 56 × 64 × 51 ) / 8
LCM(56,64,51) = 182784 / 8
LCM(56,64,51) = 22848
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 375/56, 609/64, 190/51
1. What is the HCF of 375,609,190?
The HCF of 375,609,190 is 1
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 375/56, 609/64, 190/51?
Answer: GCF of Numerators as per given numbers 375/56, 609/64, 190/51 is
GCF of Numerators i.e. for 375,609,190 is 1
LCM of denominators i.e. for 56,64,51 is 22848.
Thus, GCF of Fractions is 1/22848.Finally, GCF of Fractions for 375/56, 609/64, 190/51 is 1/22848.