GCF of 2317/967, 5610/5247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2317/967, 5610/5247 i.e 1/5073849 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2317/967, 5610/5247.
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 2317/967,5610/5247?
Given fractions are 2317/967,5610/5247
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 2317/967,5610/5247, numerators are 2317,5610
Denominators are 967,5247
The GCF of 2317,5610 is 1 .
LCM of 967,5247 is 5073849.
The greatest common factor of 2317/967,5610/5247 = [GCF of 2317,5610]/[LCM of 967,5247]= 1/5073849
Therefore, the GCF of 2317/967,5610/5247 is 1/5073849.
To find the highest common factor of 2317,5610, we have to find the factors of both numbers and list the highest common factor.
The factors of 2317 are 1, 7, 331, 2317
The factors of 5610 are 1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610
The HCF of 2317,5610 is 1.
Lets's calculate GCF of 2317,5610
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2317,5610 By Matching Biggest Common Factor Method
Now, list down the factors of 2317
:1,7,331,2317
Now, list down the factors of 5610
:1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610
Greatest Common Factor
We found the factors 2317,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 2317,5610 is 1.
Lets's calculate LCM of 967,5247
Given numbers has no common factors except 1. So, there LCM is their product i.e 5073849
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5073849
Therefore, the GCF of Fractions 2317/967,5610/5247 is 1/5073849
Least Common Multiple of 967,5247 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 967,5247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,5247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,5247) x common factors =1 x 1 = 1
LCM(967,5247) = ( 967 × 5247 ) / 1
LCM(967,5247) = 5073849 / 1
LCM(967,5247) = 5073849
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FAQs on GCF of Fractions of 2317/967, 5610/5247
1. What is the HCF of 2317,5610?
The HCF of 2317,5610 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 2317/967, 5610/5247?
Answer: GCF of Numerators as per given numbers 2317/967, 5610/5247 is
GCF of Numerators i.e. for 2317,5610 is 1
LCM of denominators i.e. for 967,5247 is 5073849.
Thus, GCF of Fractions is 1/5073849.Finally, GCF of Fractions for 2317/967, 5610/5247 is 1/5073849.