GCF of 2200/776, 3653/131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2200/776, 3653/131 i.e 1/101656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2200/776, 3653/131.
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 2200/776,3653/131?
Given fractions are 2200/776,3653/131
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 2200/776,3653/131, numerators are 2200,3653
Denominators are 776,131
The GCF of 2200,3653 is 1 .
LCM of 776,131 is 101656.
The greatest common factor of 2200/776,3653/131 = [GCF of 2200,3653]/[LCM of 776,131]= 1/101656
Therefore, the GCF of 2200/776,3653/131 is 1/101656.
To find the highest common factor of 2200,3653, we have to find the factors of both numbers and list the highest common factor.
The factors of 2200 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200
The factors of 3653 are 1, 13, 281, 3653
The HCF of 2200,3653 is 1.
Lets's calculate GCF of 2200,3653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2200,3653 By Matching Biggest Common Factor Method
Now, list down the factors of 2200
:1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200
Now, list down the factors of 3653
:1,13,281,3653
Greatest Common Factor
We found the factors 2200,3653 . The biggest common factor number is the GCF number.
So the greatest common factor 2200,3653 is 1.
Lets's calculate LCM of 776,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 101656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101656
Therefore, the GCF of Fractions 2200/776,3653/131 is 1/101656
Least Common Multiple of 776,131 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 776,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(776,131) x common factors =1 x 1 = 1
LCM(776,131) = ( 776 × 131 ) / 1
LCM(776,131) = 101656 / 1
LCM(776,131) = 101656
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FAQs on GCF of Fractions of 2200/776, 3653/131
1. What is the HCF of 2200,3653?
The HCF of 2200,3653 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 2200/776, 3653/131?
Answer: GCF of Numerators as per given numbers 2200/776, 3653/131 is
GCF of Numerators i.e. for 2200,3653 is 1
LCM of denominators i.e. for 776,131 is 101656.
Thus, GCF of Fractions is 1/101656.Finally, GCF of Fractions for 2200/776, 3653/131 is 1/101656.