GCF of 3585/968, 3080/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3585/968, 3080/217 i.e 5/210056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3585/968, 3080/217.
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 3585/968,3080/217?
Given fractions are 3585/968,3080/217
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 3585/968,3080/217, numerators are 3585,3080
Denominators are 968,217
The GCF of 3585,3080 is 5 .
LCM of 968,217 is 210056.
The greatest common factor of 3585/968,3080/217 = [GCF of 3585,3080]/[LCM of 968,217]= 5/210056
Therefore, the GCF of 3585/968,3080/217 is 5/210056.
To find the highest common factor of 3585,3080, we have to find the factors of both numbers and list the highest common factor.
The factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585
The factors of 3080 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080
The HCF of 3585,3080 is 5.
Lets's calculate GCF of 3585,3080
| 5 | 3585, 3080 |
| 717, 616 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3585,3080 By Matching Biggest Common Factor Method
Now, list down the factors of 3585
:1,3,5,15,239,717,1195,3585
Now, list down the factors of 3080
:1,2,4,5,7,8,10,11,14,20,22,28,35,40,44,55,56,70,77,88,110,140,154,220,280,308,385,440,616,770,1540,3080
Greatest Common Factor
We found the factors 3585,3080 . The biggest common factor number is the GCF number.
So the greatest common factor 3585,3080 is 5.
Lets's calculate LCM of 968,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 210056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/210056
Therefore, the GCF of Fractions 3585/968,3080/217 is 5/210056
Least Common Multiple of 968,217 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 968,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,217) x common factors =1 x 1 = 1
LCM(968,217) = ( 968 × 217 ) / 1
LCM(968,217) = 210056 / 1
LCM(968,217) = 210056
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FAQs on GCF of Fractions of 3585/968, 3080/217
1. What is the HCF of 3585,3080?
The HCF of 3585,3080 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 3585/968, 3080/217?
Answer: GCF of Numerators as per given numbers 3585/968, 3080/217 is
GCF of Numerators i.e. for 3585,3080 is 5
LCM of denominators i.e. for 968,217 is 210056.
Thus, GCF of Fractions is 5/210056.Finally, GCF of Fractions for 3585/968, 3080/217 is 5/210056.