GCF of 2114/121, 1653/5956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2114/121, 1653/5956 i.e 1/720676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2114/121, 1653/5956.
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 2114/121,1653/5956?
Given fractions are 2114/121,1653/5956
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 2114/121,1653/5956, numerators are 2114,1653
Denominators are 121,5956
The GCF of 2114,1653 is 1 .
LCM of 121,5956 is 720676.
The greatest common factor of 2114/121,1653/5956 = [GCF of 2114,1653]/[LCM of 121,5956]= 1/720676
Therefore, the GCF of 2114/121,1653/5956 is 1/720676.
To find the highest common factor of 2114,1653, we have to find the factors of both numbers and list the highest common factor.
The factors of 2114 are 1, 2, 7, 14, 151, 302, 1057, 2114
The factors of 1653 are 1, 3, 19, 29, 57, 87, 551, 1653
The HCF of 2114,1653 is 1.
Lets's calculate GCF of 2114,1653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2114,1653 By Matching Biggest Common Factor Method
Now, list down the factors of 2114
:1,2,7,14,151,302,1057,2114
Now, list down the factors of 1653
:1,3,19,29,57,87,551,1653
Greatest Common Factor
We found the factors 2114,1653 . The biggest common factor number is the GCF number.
So the greatest common factor 2114,1653 is 1.
Lets's calculate LCM of 121,5956
Given numbers has no common factors except 1. So, there LCM is their product i.e 720676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/720676
Therefore, the GCF of Fractions 2114/121,1653/5956 is 1/720676
Least Common Multiple of 121,5956 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 121,5956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,5956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,5956) x common factors =1 x 1 = 1
LCM(121,5956) = ( 121 × 5956 ) / 1
LCM(121,5956) = 720676 / 1
LCM(121,5956) = 720676
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FAQs on GCF of Fractions of 2114/121, 1653/5956
1. What is the HCF of 2114,1653?
The HCF of 2114,1653 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 2114/121, 1653/5956?
Answer: GCF of Numerators as per given numbers 2114/121, 1653/5956 is
GCF of Numerators i.e. for 2114,1653 is 1
LCM of denominators i.e. for 121,5956 is 720676.
Thus, GCF of Fractions is 1/720676.Finally, GCF of Fractions for 2114/121, 1653/5956 is 1/720676.