GCF of 75/462, 656/729, 595/334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 75/462, 656/729, 595/334 i.e 1/18748422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 75/462, 656/729, 595/334.
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 75/462,656/729,595/334?
Given fractions are 75/462,656/729,595/334
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 75/462,656/729,595/334, numerators are 75,656,595
Denominators are 462,729,334
The GCF of 75,656,595 is 1 .
LCM of 462,729,334 is 18748422.
The greatest common factor of 75/462,656/729,595/334 = [GCF of 75,656,595]/[LCM of 462,729,334]= 1/18748422
Therefore, the GCF of 75/462,656/729,595/334 is 1/18748422.
To find the highest common factor of 75,656,595, we have to find the factors of both numbers and list the highest common factor.
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595
The HCF of 75,656,595 is 1.
Lets's calculate GCF of 75,656,595
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 75,656,595 By Matching Biggest Common Factor Method
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Now, list down the factors of 595
:1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 75,656,595 . The biggest common factor number is the GCF number.
So the greatest common factor 75,656,595 is 1.
Lets's calculate LCM of 462,729,334
| 2 | 462, 729, 334 |
| 3 | 231, 729, 167 |
| 77, 243, 167 |
∴ So the LCM of the given numbers is 2 x 3 x 77 x 243 x 167 = 18748422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18748422
Therefore, the GCF of Fractions 75/462,656/729,595/334 is 1/18748422
Least Common Multiple of 462,729,334 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 462,729,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,729,334) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(462,729,334) x common factors =1 x 6 = 6
LCM(462,729,334) = ( 462 × 729 × 334 ) / 6
LCM(462,729,334) = 112490532 / 6
LCM(462,729,334) = 18748422
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FAQs on GCF of Fractions of 75/462, 656/729, 595/334
1. What is the HCF of 75,656,595?
The HCF of 75,656,595 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 75/462, 656/729, 595/334?
Answer: GCF of Numerators as per given numbers 75/462, 656/729, 595/334 is
GCF of Numerators i.e. for 75,656,595 is 1
LCM of denominators i.e. for 462,729,334 is 18748422.
Thus, GCF of Fractions is 1/18748422.Finally, GCF of Fractions for 75/462, 656/729, 595/334 is 1/18748422.