GCF of 8565/317, 7450/9689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8565/317, 7450/9689 i.e 5/3071413 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8565/317, 7450/9689.
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 8565/317,7450/9689?
Given fractions are 8565/317,7450/9689
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 8565/317,7450/9689, numerators are 8565,7450
Denominators are 317,9689
The GCF of 8565,7450 is 5 .
LCM of 317,9689 is 3071413.
The greatest common factor of 8565/317,7450/9689 = [GCF of 8565,7450]/[LCM of 317,9689]= 5/3071413
Therefore, the GCF of 8565/317,7450/9689 is 5/3071413.
To find the highest common factor of 8565,7450, we have to find the factors of both numbers and list the highest common factor.
The factors of 8565 are 1, 3, 5, 15, 571, 1713, 2855, 8565
The factors of 7450 are 1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450
The HCF of 8565,7450 is 5.
Lets's calculate GCF of 8565,7450
| 5 | 8565, 7450 |
| 1713, 1490 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8565,7450 By Matching Biggest Common Factor Method
Now, list down the factors of 8565
:1,3,5,15,571,1713,2855,8565
Now, list down the factors of 7450
:1,2,5,10,25,50,149,298,745,1490,3725,7450
Greatest Common Factor
We found the factors 8565,7450 . The biggest common factor number is the GCF number.
So the greatest common factor 8565,7450 is 5.
Lets's calculate LCM of 317,9689
Given numbers has no common factors except 1. So, there LCM is their product i.e 3071413
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3071413
Therefore, the GCF of Fractions 8565/317,7450/9689 is 5/3071413
Least Common Multiple of 317,9689 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 317,9689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,9689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,9689) x common factors =1 x 1 = 1
LCM(317,9689) = ( 317 × 9689 ) / 1
LCM(317,9689) = 3071413 / 1
LCM(317,9689) = 3071413
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FAQs on GCF of Fractions of 8565/317, 7450/9689
1. What is the HCF of 8565,7450?
The HCF of 8565,7450 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 8565/317, 7450/9689?
Answer: GCF of Numerators as per given numbers 8565/317, 7450/9689 is
GCF of Numerators i.e. for 8565,7450 is 5
LCM of denominators i.e. for 317,9689 is 3071413.
Thus, GCF of Fractions is 5/3071413.Finally, GCF of Fractions for 8565/317, 7450/9689 is 5/3071413.