GCF of 9657/931, 1220/1916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9657/931, 1220/1916 i.e 1/1783796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9657/931, 1220/1916.
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 9657/931,1220/1916?
Given fractions are 9657/931,1220/1916
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 9657/931,1220/1916, numerators are 9657,1220
Denominators are 931,1916
The GCF of 9657,1220 is 1 .
LCM of 931,1916 is 1783796.
The greatest common factor of 9657/931,1220/1916 = [GCF of 9657,1220]/[LCM of 931,1916]= 1/1783796
Therefore, the GCF of 9657/931,1220/1916 is 1/1783796.
To find the highest common factor of 9657,1220, we have to find the factors of both numbers and list the highest common factor.
The factors of 9657 are 1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657
The factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220
The HCF of 9657,1220 is 1.
Lets's calculate GCF of 9657,1220
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9657,1220 By Matching Biggest Common Factor Method
Now, list down the factors of 9657
:1,3,9,29,37,87,111,261,333,1073,3219,9657
Now, list down the factors of 1220
:1,2,4,5,10,20,61,122,244,305,610,1220
Greatest Common Factor
We found the factors 9657,1220 . The biggest common factor number is the GCF number.
So the greatest common factor 9657,1220 is 1.
Lets's calculate LCM of 931,1916
Given numbers has no common factors except 1. So, there LCM is their product i.e 1783796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1783796
Therefore, the GCF of Fractions 9657/931,1220/1916 is 1/1783796
Least Common Multiple of 931,1916 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 931,1916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,1916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,1916) x common factors =1 x 1 = 1
LCM(931,1916) = ( 931 × 1916 ) / 1
LCM(931,1916) = 1783796 / 1
LCM(931,1916) = 1783796
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FAQs on GCF of Fractions of 9657/931, 1220/1916
1. What is the HCF of 9657,1220?
The HCF of 9657,1220 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 9657/931, 1220/1916?
Answer: GCF of Numerators as per given numbers 9657/931, 1220/1916 is
GCF of Numerators i.e. for 9657,1220 is 1
LCM of denominators i.e. for 931,1916 is 1783796.
Thus, GCF of Fractions is 1/1783796.Finally, GCF of Fractions for 9657/931, 1220/1916 is 1/1783796.