GCF of 3707/945, 2023/6599
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3707/945, 2023/6599 i.e 1/6236055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3707/945, 2023/6599.
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 3707/945,2023/6599?
Given fractions are 3707/945,2023/6599
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 3707/945,2023/6599, numerators are 3707,2023
Denominators are 945,6599
The GCF of 3707,2023 is 1 .
LCM of 945,6599 is 6236055.
The greatest common factor of 3707/945,2023/6599 = [GCF of 3707,2023]/[LCM of 945,6599]= 1/6236055
Therefore, the GCF of 3707/945,2023/6599 is 1/6236055.
To find the highest common factor of 3707,2023, we have to find the factors of both numbers and list the highest common factor.
The factors of 3707 are 1, 11, 337, 3707
The factors of 2023 are 1, 7, 17, 119, 289, 2023
The HCF of 3707,2023 is 1.
Lets's calculate GCF of 3707,2023
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3707,2023 By Matching Biggest Common Factor Method
Now, list down the factors of 3707
:1,11,337,3707
Now, list down the factors of 2023
:1,7,17,119,289,2023
Greatest Common Factor
We found the factors 3707,2023 . The biggest common factor number is the GCF number.
So the greatest common factor 3707,2023 is 1.
Lets's calculate LCM of 945,6599
Given numbers has no common factors except 1. So, there LCM is their product i.e 6236055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6236055
Therefore, the GCF of Fractions 3707/945,2023/6599 is 1/6236055
Least Common Multiple of 945,6599 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 945,6599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,6599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(945,6599) x common factors =1 x 1 = 1
LCM(945,6599) = ( 945 × 6599 ) / 1
LCM(945,6599) = 6236055 / 1
LCM(945,6599) = 6236055
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3707/945, 2023/6599
1. What is the HCF of 3707,2023?
The HCF of 3707,2023 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 3707/945, 2023/6599?
Answer: GCF of Numerators as per given numbers 3707/945, 2023/6599 is
GCF of Numerators i.e. for 3707,2023 is 1
LCM of denominators i.e. for 945,6599 is 6236055.
Thus, GCF of Fractions is 1/6236055.Finally, GCF of Fractions for 3707/945, 2023/6599 is 1/6236055.