GCF of 8919/734, 1305/507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8919/734, 1305/507 i.e 9/372138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8919/734, 1305/507.
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 8919/734,1305/507?
Given fractions are 8919/734,1305/507
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 8919/734,1305/507, numerators are 8919,1305
Denominators are 734,507
The GCF of 8919,1305 is 9 .
LCM of 734,507 is 372138.
The greatest common factor of 8919/734,1305/507 = [GCF of 8919,1305]/[LCM of 734,507]= 9/372138
Therefore, the GCF of 8919/734,1305/507 is 9/372138.
To find the highest common factor of 8919,1305, we have to find the factors of both numbers and list the highest common factor.
The factors of 8919 are 1, 3, 9, 991, 2973, 8919
The factors of 1305 are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305
The HCF of 8919,1305 is 9.
Lets's calculate GCF of 8919,1305
| 3 | 8919, 1305 |
| 3 | 2973, 435 |
| 991, 145 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8919,1305 By Matching Biggest Common Factor Method
Now, list down the factors of 8919
:1,3,9,991,2973,8919
Now, list down the factors of 1305
:1,3,5,9,15,29,45,87,145,261,435,1305
Greatest Common Factor
We found the factors 8919,1305 . The biggest common factor number is the GCF number.
So the greatest common factor 8919,1305 is 9.
Lets's calculate LCM of 734,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 372138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/372138
Therefore, the GCF of Fractions 8919/734,1305/507 is 9/372138
Least Common Multiple of 734,507 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 734,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,507) x common factors =1 x 1 = 1
LCM(734,507) = ( 734 × 507 ) / 1
LCM(734,507) = 372138 / 1
LCM(734,507) = 372138
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FAQs on GCF of Fractions of 8919/734, 1305/507
1. What is the HCF of 8919,1305?
The HCF of 8919,1305 is 9
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 8919/734, 1305/507?
Answer: GCF of Numerators as per given numbers 8919/734, 1305/507 is
GCF of Numerators i.e. for 8919,1305 is 9
LCM of denominators i.e. for 734,507 is 372138.
Thus, GCF of Fractions is 9/372138.Finally, GCF of Fractions for 8919/734, 1305/507 is 9/372138.