GCF of 6414/595, 8957/3689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6414/595, 8957/3689 i.e 1/18445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6414/595, 8957/3689.
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 6414/595,8957/3689?
Given fractions are 6414/595,8957/3689
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 6414/595,8957/3689, numerators are 6414,8957
Denominators are 595,3689
The GCF of 6414,8957 is 1 .
LCM of 595,3689 is 18445.
The greatest common factor of 6414/595,8957/3689 = [GCF of 6414,8957]/[LCM of 595,3689]= 1/18445
Therefore, the GCF of 6414/595,8957/3689 is 1/18445.
To find the highest common factor of 6414,8957, we have to find the factors of both numbers and list the highest common factor.
The factors of 6414 are 1, 2, 3, 6, 1069, 2138, 3207, 6414
The factors of 8957 are 1, 13, 53, 169, 689, 8957
The HCF of 6414,8957 is 1.
Lets's calculate GCF of 6414,8957
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6414,8957 By Matching Biggest Common Factor Method
Now, list down the factors of 6414
:1,2,3,6,1069,2138,3207,6414
Now, list down the factors of 8957
:1,13,53,169,689,8957
Greatest Common Factor
We found the factors 6414,8957 . The biggest common factor number is the GCF number.
So the greatest common factor 6414,8957 is 1.
Lets's calculate LCM of 595,3689
| 7 | 595, 3689 |
| 17 | 85, 527 |
| 5, 31 |
∴ So the LCM of the given numbers is 7 x 17 x 5 x 31 = 18445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18445
Therefore, the GCF of Fractions 6414/595,8957/3689 is 1/18445
Least Common Multiple of 595,3689 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 595,3689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,3689) = 119
common factors(in case of two or more numbers have common factors) = 1
GCF(595,3689) x common factors =119 x 1 = 119
LCM(595,3689) = ( 595 × 3689 ) / 119
LCM(595,3689) = 2194955 / 119
LCM(595,3689) = 18445
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FAQs on GCF of Fractions of 6414/595, 8957/3689
1. What is the HCF of 6414,8957?
The HCF of 6414,8957 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 6414/595, 8957/3689?
Answer: GCF of Numerators as per given numbers 6414/595, 8957/3689 is
GCF of Numerators i.e. for 6414,8957 is 1
LCM of denominators i.e. for 595,3689 is 18445.
Thus, GCF of Fractions is 1/18445.Finally, GCF of Fractions for 6414/595, 8957/3689 is 1/18445.