GCF of 9217/908, 5880/311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9217/908, 5880/311 i.e 1/282388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9217/908, 5880/311.
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 9217/908,5880/311?
Given fractions are 9217/908,5880/311
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 9217/908,5880/311, numerators are 9217,5880
Denominators are 908,311
The GCF of 9217,5880 is 1 .
LCM of 908,311 is 282388.
The greatest common factor of 9217/908,5880/311 = [GCF of 9217,5880]/[LCM of 908,311]= 1/282388
Therefore, the GCF of 9217/908,5880/311 is 1/282388.
To find the highest common factor of 9217,5880, we have to find the factors of both numbers and list the highest common factor.
The factors of 9217 are 1, 13, 709, 9217
The factors of 5880 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880
The HCF of 9217,5880 is 1.
Lets's calculate GCF of 9217,5880
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9217,5880 By Matching Biggest Common Factor Method
Now, list down the factors of 9217
:1,13,709,9217
Now, list down the factors of 5880
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880
Greatest Common Factor
We found the factors 9217,5880 . The biggest common factor number is the GCF number.
So the greatest common factor 9217,5880 is 1.
Lets's calculate LCM of 908,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 282388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282388
Therefore, the GCF of Fractions 9217/908,5880/311 is 1/282388
Least Common Multiple of 908,311 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 908,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(908,311) x common factors =1 x 1 = 1
LCM(908,311) = ( 908 × 311 ) / 1
LCM(908,311) = 282388 / 1
LCM(908,311) = 282388
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FAQs on GCF of Fractions of 9217/908, 5880/311
1. What is the HCF of 9217,5880?
The HCF of 9217,5880 is 1
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 9217/908, 5880/311?
Answer: GCF of Numerators as per given numbers 9217/908, 5880/311 is
GCF of Numerators i.e. for 9217,5880 is 1
LCM of denominators i.e. for 908,311 is 282388.
Thus, GCF of Fractions is 1/282388.Finally, GCF of Fractions for 9217/908, 5880/311 is 1/282388.