GCF of 2201/335, 7807/7074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2201/335, 7807/7074 i.e 1/2369790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2201/335, 7807/7074.
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 2201/335,7807/7074?
Given fractions are 2201/335,7807/7074
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 2201/335,7807/7074, numerators are 2201,7807
Denominators are 335,7074
The GCF of 2201,7807 is 1 .
LCM of 335,7074 is 2369790.
The greatest common factor of 2201/335,7807/7074 = [GCF of 2201,7807]/[LCM of 335,7074]= 1/2369790
Therefore, the GCF of 2201/335,7807/7074 is 1/2369790.
To find the highest common factor of 2201,7807, we have to find the factors of both numbers and list the highest common factor.
The factors of 2201 are 1, 31, 71, 2201
The factors of 7807 are 1, 37, 211, 7807
The HCF of 2201,7807 is 1.
Lets's calculate GCF of 2201,7807
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2201,7807 By Matching Biggest Common Factor Method
Now, list down the factors of 2201
:1,31,71,2201
Now, list down the factors of 7807
:1,37,211,7807
Greatest Common Factor
We found the factors 2201,7807 . The biggest common factor number is the GCF number.
So the greatest common factor 2201,7807 is 1.
Lets's calculate LCM of 335,7074
Given numbers has no common factors except 1. So, there LCM is their product i.e 2369790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2369790
Therefore, the GCF of Fractions 2201/335,7807/7074 is 1/2369790
Least Common Multiple of 335,7074 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 335,7074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,7074) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,7074) x common factors =1 x 1 = 1
LCM(335,7074) = ( 335 × 7074 ) / 1
LCM(335,7074) = 2369790 / 1
LCM(335,7074) = 2369790
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FAQs on GCF of Fractions of 2201/335, 7807/7074
1. What is the HCF of 2201,7807?
The HCF of 2201,7807 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 2201/335, 7807/7074?
Answer: GCF of Numerators as per given numbers 2201/335, 7807/7074 is
GCF of Numerators i.e. for 2201,7807 is 1
LCM of denominators i.e. for 335,7074 is 2369790.
Thus, GCF of Fractions is 1/2369790.Finally, GCF of Fractions for 2201/335, 7807/7074 is 1/2369790.