GCF of 6675/662, 2417/3907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6675/662, 2417/3907 i.e 1/2586434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6675/662, 2417/3907.
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 6675/662,2417/3907?
Given fractions are 6675/662,2417/3907
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 6675/662,2417/3907, numerators are 6675,2417
Denominators are 662,3907
The GCF of 6675,2417 is 1 .
LCM of 662,3907 is 2586434.
The greatest common factor of 6675/662,2417/3907 = [GCF of 6675,2417]/[LCM of 662,3907]= 1/2586434
Therefore, the GCF of 6675/662,2417/3907 is 1/2586434.
To find the highest common factor of 6675,2417, we have to find the factors of both numbers and list the highest common factor.
The factors of 6675 are 1, 3, 5, 15, 25, 75, 89, 267, 445, 1335, 2225, 6675
The factors of 2417 are 1, 2417
The HCF of 6675,2417 is 1.
Lets's calculate GCF of 6675,2417
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6675,2417 By Matching Biggest Common Factor Method
Now, list down the factors of 6675
:1,3,5,15,25,75,89,267,445,1335,2225,6675
Now, list down the factors of 2417
:1,2417
Greatest Common Factor
We found the factors 6675,2417 . The biggest common factor number is the GCF number.
So the greatest common factor 6675,2417 is 1.
Lets's calculate LCM of 662,3907
Given numbers has no common factors except 1. So, there LCM is their product i.e 2586434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2586434
Therefore, the GCF of Fractions 6675/662,2417/3907 is 1/2586434
Least Common Multiple of 662,3907 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 662,3907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,3907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(662,3907) x common factors =1 x 1 = 1
LCM(662,3907) = ( 662 × 3907 ) / 1
LCM(662,3907) = 2586434 / 1
LCM(662,3907) = 2586434
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FAQs on GCF of Fractions of 6675/662, 2417/3907
1. What is the HCF of 6675,2417?
The HCF of 6675,2417 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 6675/662, 2417/3907?
Answer: GCF of Numerators as per given numbers 6675/662, 2417/3907 is
GCF of Numerators i.e. for 6675,2417 is 1
LCM of denominators i.e. for 662,3907 is 2586434.
Thus, GCF of Fractions is 1/2586434.Finally, GCF of Fractions for 6675/662, 2417/3907 is 1/2586434.