GCF of 3914/646, 8975/7422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3914/646, 8975/7422 i.e 1/2397306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3914/646, 8975/7422.
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 3914/646,8975/7422?
Given fractions are 3914/646,8975/7422
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 3914/646,8975/7422, numerators are 3914,8975
Denominators are 646,7422
The GCF of 3914,8975 is 1 .
LCM of 646,7422 is 2397306.
The greatest common factor of 3914/646,8975/7422 = [GCF of 3914,8975]/[LCM of 646,7422]= 1/2397306
Therefore, the GCF of 3914/646,8975/7422 is 1/2397306.
To find the highest common factor of 3914,8975, we have to find the factors of both numbers and list the highest common factor.
The factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914
The factors of 8975 are 1, 5, 25, 359, 1795, 8975
The HCF of 3914,8975 is 1.
Lets's calculate GCF of 3914,8975
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3914,8975 By Matching Biggest Common Factor Method
Now, list down the factors of 3914
:1,2,19,38,103,206,1957,3914
Now, list down the factors of 8975
:1,5,25,359,1795,8975
Greatest Common Factor
We found the factors 3914,8975 . The biggest common factor number is the GCF number.
So the greatest common factor 3914,8975 is 1.
Lets's calculate LCM of 646,7422
| 2 | 646, 7422 |
| 323, 3711 |
∴ So the LCM of the given numbers is 2 x 323 x 3711 = 2397306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2397306
Therefore, the GCF of Fractions 3914/646,8975/7422 is 1/2397306
Least Common Multiple of 646,7422 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 646,7422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,7422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,7422) x common factors =2 x 1 = 2
LCM(646,7422) = ( 646 × 7422 ) / 2
LCM(646,7422) = 4794612 / 2
LCM(646,7422) = 2397306
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FAQs on GCF of Fractions of 3914/646, 8975/7422
1. What is the HCF of 3914,8975?
The HCF of 3914,8975 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 3914/646, 8975/7422?
Answer: GCF of Numerators as per given numbers 3914/646, 8975/7422 is
GCF of Numerators i.e. for 3914,8975 is 1
LCM of denominators i.e. for 646,7422 is 2397306.
Thus, GCF of Fractions is 1/2397306.Finally, GCF of Fractions for 3914/646, 8975/7422 is 1/2397306.