GCF of 9736/563, 4221/2814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9736/563, 4221/2814 i.e 1/1584282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9736/563, 4221/2814.
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 9736/563,4221/2814?
Given fractions are 9736/563,4221/2814
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 9736/563,4221/2814, numerators are 9736,4221
Denominators are 563,2814
The GCF of 9736,4221 is 1 .
LCM of 563,2814 is 1584282.
The greatest common factor of 9736/563,4221/2814 = [GCF of 9736,4221]/[LCM of 563,2814]= 1/1584282
Therefore, the GCF of 9736/563,4221/2814 is 1/1584282.
To find the highest common factor of 9736,4221, we have to find the factors of both numbers and list the highest common factor.
The factors of 9736 are 1, 2, 4, 8, 1217, 2434, 4868, 9736
The factors of 4221 are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221
The HCF of 9736,4221 is 1.
Lets's calculate GCF of 9736,4221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9736,4221 By Matching Biggest Common Factor Method
Now, list down the factors of 9736
:1,2,4,8,1217,2434,4868,9736
Now, list down the factors of 4221
:1,3,7,9,21,63,67,201,469,603,1407,4221
Greatest Common Factor
We found the factors 9736,4221 . The biggest common factor number is the GCF number.
So the greatest common factor 9736,4221 is 1.
Lets's calculate LCM of 563,2814
Given numbers has no common factors except 1. So, there LCM is their product i.e 1584282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1584282
Therefore, the GCF of Fractions 9736/563,4221/2814 is 1/1584282
Least Common Multiple of 563,2814 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 563,2814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,2814) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,2814) x common factors =1 x 1 = 1
LCM(563,2814) = ( 563 × 2814 ) / 1
LCM(563,2814) = 1584282 / 1
LCM(563,2814) = 1584282
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FAQs on GCF of Fractions of 9736/563, 4221/2814
1. What is the HCF of 9736,4221?
The HCF of 9736,4221 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 9736/563, 4221/2814?
Answer: GCF of Numerators as per given numbers 9736/563, 4221/2814 is
GCF of Numerators i.e. for 9736,4221 is 1
LCM of denominators i.e. for 563,2814 is 1584282.
Thus, GCF of Fractions is 1/1584282.Finally, GCF of Fractions for 9736/563, 4221/2814 is 1/1584282.