GCF of 9632/331, 2207/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9632/331, 2207/517 i.e 1/171127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9632/331, 2207/517.
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 9632/331,2207/517?
Given fractions are 9632/331,2207/517
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 9632/331,2207/517, numerators are 9632,2207
Denominators are 331,517
The GCF of 9632,2207 is 1 .
LCM of 331,517 is 171127.
The greatest common factor of 9632/331,2207/517 = [GCF of 9632,2207]/[LCM of 331,517]= 1/171127
Therefore, the GCF of 9632/331,2207/517 is 1/171127.
To find the highest common factor of 9632,2207, we have to find the factors of both numbers and list the highest common factor.
The factors of 9632 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632
The factors of 2207 are 1, 2207
The HCF of 9632,2207 is 1.
Lets's calculate GCF of 9632,2207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9632,2207 By Matching Biggest Common Factor Method
Now, list down the factors of 9632
:1,2,4,7,8,14,16,28,32,43,56,86,112,172,224,301,344,602,688,1204,1376,2408,4816,9632
Now, list down the factors of 2207
:1,2207
Greatest Common Factor
We found the factors 9632,2207 . The biggest common factor number is the GCF number.
So the greatest common factor 9632,2207 is 1.
Lets's calculate LCM of 331,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 171127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171127
Therefore, the GCF of Fractions 9632/331,2207/517 is 1/171127
Least Common Multiple of 331,517 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 331,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,517) x common factors =1 x 1 = 1
LCM(331,517) = ( 331 × 517 ) / 1
LCM(331,517) = 171127 / 1
LCM(331,517) = 171127
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9632/331, 2207/517
1. What is the HCF of 9632,2207?
The HCF of 9632,2207 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 9632/331, 2207/517?
Answer: GCF of Numerators as per given numbers 9632/331, 2207/517 is
GCF of Numerators i.e. for 9632,2207 is 1
LCM of denominators i.e. for 331,517 is 171127.
Thus, GCF of Fractions is 1/171127.Finally, GCF of Fractions for 9632/331, 2207/517 is 1/171127.