GCF of 7377/991, 3668/7314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7377/991, 3668/7314 i.e 1/7248174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7377/991, 3668/7314.
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 7377/991,3668/7314?
Given fractions are 7377/991,3668/7314
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 7377/991,3668/7314, numerators are 7377,3668
Denominators are 991,7314
The GCF of 7377,3668 is 1 .
LCM of 991,7314 is 7248174.
The greatest common factor of 7377/991,3668/7314 = [GCF of 7377,3668]/[LCM of 991,7314]= 1/7248174
Therefore, the GCF of 7377/991,3668/7314 is 1/7248174.
To find the highest common factor of 7377,3668, we have to find the factors of both numbers and list the highest common factor.
The factors of 7377 are 1, 3, 2459, 7377
The factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668
The HCF of 7377,3668 is 1.
Lets's calculate GCF of 7377,3668
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7377,3668 By Matching Biggest Common Factor Method
Now, list down the factors of 7377
:1,3,2459,7377
Now, list down the factors of 3668
:1,2,4,7,14,28,131,262,524,917,1834,3668
Greatest Common Factor
We found the factors 7377,3668 . The biggest common factor number is the GCF number.
So the greatest common factor 7377,3668 is 1.
Lets's calculate LCM of 991,7314
Given numbers has no common factors except 1. So, there LCM is their product i.e 7248174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7248174
Therefore, the GCF of Fractions 7377/991,3668/7314 is 1/7248174
Least Common Multiple of 991,7314 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 991,7314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,7314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,7314) x common factors =1 x 1 = 1
LCM(991,7314) = ( 991 × 7314 ) / 1
LCM(991,7314) = 7248174 / 1
LCM(991,7314) = 7248174
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FAQs on GCF of Fractions of 7377/991, 3668/7314
1. What is the HCF of 7377,3668?
The HCF of 7377,3668 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 7377/991, 3668/7314?
Answer: GCF of Numerators as per given numbers 7377/991, 3668/7314 is
GCF of Numerators i.e. for 7377,3668 is 1
LCM of denominators i.e. for 991,7314 is 7248174.
Thus, GCF of Fractions is 1/7248174.Finally, GCF of Fractions for 7377/991, 3668/7314 is 1/7248174.