GCF of 1575/466, 9145/1368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1575/466, 9145/1368 i.e 5/318744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1575/466, 9145/1368.
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 1575/466,9145/1368?
Given fractions are 1575/466,9145/1368
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 1575/466,9145/1368, numerators are 1575,9145
Denominators are 466,1368
The GCF of 1575,9145 is 5 .
LCM of 466,1368 is 318744.
The greatest common factor of 1575/466,9145/1368 = [GCF of 1575,9145]/[LCM of 466,1368]= 5/318744
Therefore, the GCF of 1575/466,9145/1368 is 5/318744.
To find the highest common factor of 1575,9145, we have to find the factors of both numbers and list the highest common factor.
The factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575
The factors of 9145 are 1, 5, 31, 59, 155, 295, 1829, 9145
The HCF of 1575,9145 is 5.
Lets's calculate GCF of 1575,9145
| 5 | 1575, 9145 |
| 315, 1829 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1575,9145 By Matching Biggest Common Factor Method
Now, list down the factors of 1575
:1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575
Now, list down the factors of 9145
:1,5,31,59,155,295,1829,9145
Greatest Common Factor
We found the factors 1575,9145 . The biggest common factor number is the GCF number.
So the greatest common factor 1575,9145 is 5.
Lets's calculate LCM of 466,1368
| 2 | 466, 1368 |
| 233, 684 |
∴ So the LCM of the given numbers is 2 x 233 x 684 = 318744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/318744
Therefore, the GCF of Fractions 1575/466,9145/1368 is 5/318744
Least Common Multiple of 466,1368 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 466,1368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,1368) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,1368) x common factors =2 x 1 = 2
LCM(466,1368) = ( 466 × 1368 ) / 2
LCM(466,1368) = 637488 / 2
LCM(466,1368) = 318744
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FAQs on GCF of Fractions of 1575/466, 9145/1368
1. What is the HCF of 1575,9145?
The HCF of 1575,9145 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 1575/466, 9145/1368?
Answer: GCF of Numerators as per given numbers 1575/466, 9145/1368 is
GCF of Numerators i.e. for 1575,9145 is 5
LCM of denominators i.e. for 466,1368 is 318744.
Thus, GCF of Fractions is 5/318744.Finally, GCF of Fractions for 1575/466, 9145/1368 is 5/318744.