GCF of 7314/912, 3665/977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7314/912, 3665/977 i.e 1/891024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7314/912, 3665/977.
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 7314/912,3665/977?
Given fractions are 7314/912,3665/977
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 7314/912,3665/977, numerators are 7314,3665
Denominators are 912,977
The GCF of 7314,3665 is 1 .
LCM of 912,977 is 891024.
The greatest common factor of 7314/912,3665/977 = [GCF of 7314,3665]/[LCM of 912,977]= 1/891024
Therefore, the GCF of 7314/912,3665/977 is 1/891024.
To find the highest common factor of 7314,3665, we have to find the factors of both numbers and list the highest common factor.
The factors of 7314 are 1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314
The factors of 3665 are 1, 5, 733, 3665
The HCF of 7314,3665 is 1.
Lets's calculate GCF of 7314,3665
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7314,3665 By Matching Biggest Common Factor Method
Now, list down the factors of 7314
:1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314
Now, list down the factors of 3665
:1,5,733,3665
Greatest Common Factor
We found the factors 7314,3665 . The biggest common factor number is the GCF number.
So the greatest common factor 7314,3665 is 1.
Lets's calculate LCM of 912,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 891024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/891024
Therefore, the GCF of Fractions 7314/912,3665/977 is 1/891024
Least Common Multiple of 912,977 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 912,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(912,977) x common factors =1 x 1 = 1
LCM(912,977) = ( 912 × 977 ) / 1
LCM(912,977) = 891024 / 1
LCM(912,977) = 891024
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FAQs on GCF of Fractions of 7314/912, 3665/977
1. What is the HCF of 7314,3665?
The HCF of 7314,3665 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 7314/912, 3665/977?
Answer: GCF of Numerators as per given numbers 7314/912, 3665/977 is
GCF of Numerators i.e. for 7314,3665 is 1
LCM of denominators i.e. for 912,977 is 891024.
Thus, GCF of Fractions is 1/891024.Finally, GCF of Fractions for 7314/912, 3665/977 is 1/891024.