GCF of 9714/155, 3110/8573
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9714/155, 3110/8573 i.e 2/1328815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9714/155, 3110/8573.
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 9714/155,3110/8573?
Given fractions are 9714/155,3110/8573
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 9714/155,3110/8573, numerators are 9714,3110
Denominators are 155,8573
The GCF of 9714,3110 is 2 .
LCM of 155,8573 is 1328815.
The greatest common factor of 9714/155,3110/8573 = [GCF of 9714,3110]/[LCM of 155,8573]= 2/1328815
Therefore, the GCF of 9714/155,3110/8573 is 2/1328815.
To find the highest common factor of 9714,3110, we have to find the factors of both numbers and list the highest common factor.
The factors of 9714 are 1, 2, 3, 6, 1619, 3238, 4857, 9714
The factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110
The HCF of 9714,3110 is 2.
Lets's calculate GCF of 9714,3110
| 2 | 9714, 3110 |
| 4857, 1555 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9714,3110 By Matching Biggest Common Factor Method
Now, list down the factors of 9714
:1,2,3,6,1619,3238,4857,9714
Now, list down the factors of 3110
:1,2,5,10,311,622,1555,3110
Greatest Common Factor
We found the factors 9714,3110 . The biggest common factor number is the GCF number.
So the greatest common factor 9714,3110 is 2.
Lets's calculate LCM of 155,8573
Given numbers has no common factors except 1. So, there LCM is their product i.e 1328815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1328815
Therefore, the GCF of Fractions 9714/155,3110/8573 is 2/1328815
Least Common Multiple of 155,8573 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 155,8573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,8573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,8573) x common factors =1 x 1 = 1
LCM(155,8573) = ( 155 × 8573 ) / 1
LCM(155,8573) = 1328815 / 1
LCM(155,8573) = 1328815
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FAQs on GCF of Fractions of 9714/155, 3110/8573
1. What is the HCF of 9714,3110?
The HCF of 9714,3110 is 2
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 9714/155, 3110/8573?
Answer: GCF of Numerators as per given numbers 9714/155, 3110/8573 is
GCF of Numerators i.e. for 9714,3110 is 2
LCM of denominators i.e. for 155,8573 is 1328815.
Thus, GCF of Fractions is 2/1328815.Finally, GCF of Fractions for 9714/155, 3110/8573 is 2/1328815.