GCF of 3757/722, 7602/9005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3757/722, 7602/9005 i.e 1/6501610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3757/722, 7602/9005.
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 3757/722,7602/9005?
Given fractions are 3757/722,7602/9005
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 3757/722,7602/9005, numerators are 3757,7602
Denominators are 722,9005
The GCF of 3757,7602 is 1 .
LCM of 722,9005 is 6501610.
The greatest common factor of 3757/722,7602/9005 = [GCF of 3757,7602]/[LCM of 722,9005]= 1/6501610
Therefore, the GCF of 3757/722,7602/9005 is 1/6501610.
To find the highest common factor of 3757,7602, we have to find the factors of both numbers and list the highest common factor.
The factors of 3757 are 1, 13, 17, 221, 289, 3757
The factors of 7602 are 1, 2, 3, 6, 7, 14, 21, 42, 181, 362, 543, 1086, 1267, 2534, 3801, 7602
The HCF of 3757,7602 is 1.
Lets's calculate GCF of 3757,7602
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3757,7602 By Matching Biggest Common Factor Method
Now, list down the factors of 3757
:1,13,17,221,289,3757
Now, list down the factors of 7602
:1,2,3,6,7,14,21,42,181,362,543,1086,1267,2534,3801,7602
Greatest Common Factor
We found the factors 3757,7602 . The biggest common factor number is the GCF number.
So the greatest common factor 3757,7602 is 1.
Lets's calculate LCM of 722,9005
Given numbers has no common factors except 1. So, there LCM is their product i.e 6501610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6501610
Therefore, the GCF of Fractions 3757/722,7602/9005 is 1/6501610
Least Common Multiple of 722,9005 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 722,9005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,9005) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,9005) x common factors =1 x 1 = 1
LCM(722,9005) = ( 722 × 9005 ) / 1
LCM(722,9005) = 6501610 / 1
LCM(722,9005) = 6501610
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FAQs on GCF of Fractions of 3757/722, 7602/9005
1. What is the HCF of 3757,7602?
The HCF of 3757,7602 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 3757/722, 7602/9005?
Answer: GCF of Numerators as per given numbers 3757/722, 7602/9005 is
GCF of Numerators i.e. for 3757,7602 is 1
LCM of denominators i.e. for 722,9005 is 6501610.
Thus, GCF of Fractions is 1/6501610.Finally, GCF of Fractions for 3757/722, 7602/9005 is 1/6501610.