GCF of 915/210, 8544/578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 915/210, 8544/578 i.e 3/60690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 915/210, 8544/578.
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 915/210,8544/578?
Given fractions are 915/210,8544/578
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 915/210,8544/578, numerators are 915,8544
Denominators are 210,578
The GCF of 915,8544 is 3 .
LCM of 210,578 is 60690.
The greatest common factor of 915/210,8544/578 = [GCF of 915,8544]/[LCM of 210,578]= 3/60690
Therefore, the GCF of 915/210,8544/578 is 3/60690.
To find the highest common factor of 915,8544, we have to find the factors of both numbers and list the highest common factor.
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The factors of 8544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 8544
The HCF of 915,8544 is 3.
Lets's calculate GCF of 915,8544
| 3 | 915, 8544 |
| 305, 2848 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 915,8544 By Matching Biggest Common Factor Method
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Now, list down the factors of 8544
:1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544
Greatest Common Factor
We found the factors 915,8544 . The biggest common factor number is the GCF number.
So the greatest common factor 915,8544 is 3.
Lets's calculate LCM of 210,578
| 2 | 210, 578 |
| 105, 289 |
∴ So the LCM of the given numbers is 2 x 105 x 289 = 60690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60690
Therefore, the GCF of Fractions 915/210,8544/578 is 3/60690
Least Common Multiple of 210,578 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 210,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(210,578) x common factors =2 x 1 = 2
LCM(210,578) = ( 210 × 578 ) / 2
LCM(210,578) = 121380 / 2
LCM(210,578) = 60690
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FAQs on GCF of Fractions of 915/210, 8544/578
1. What is the HCF of 915,8544?
The HCF of 915,8544 is 3
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 915/210, 8544/578?
Answer: GCF of Numerators as per given numbers 915/210, 8544/578 is
GCF of Numerators i.e. for 915,8544 is 3
LCM of denominators i.e. for 210,578 is 60690.
Thus, GCF of Fractions is 3/60690.Finally, GCF of Fractions for 915/210, 8544/578 is 3/60690.