GCF of 6371/914, 6506/4064
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6371/914, 6506/4064 i.e 1/1857248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6371/914, 6506/4064.
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 6371/914,6506/4064?
Given fractions are 6371/914,6506/4064
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 6371/914,6506/4064, numerators are 6371,6506
Denominators are 914,4064
The GCF of 6371,6506 is 1 .
LCM of 914,4064 is 1857248.
The greatest common factor of 6371/914,6506/4064 = [GCF of 6371,6506]/[LCM of 914,4064]= 1/1857248
Therefore, the GCF of 6371/914,6506/4064 is 1/1857248.
To find the highest common factor of 6371,6506, we have to find the factors of both numbers and list the highest common factor.
The factors of 6371 are 1, 23, 277, 6371
The factors of 6506 are 1, 2, 3253, 6506
The HCF of 6371,6506 is 1.
Lets's calculate GCF of 6371,6506
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6371,6506 By Matching Biggest Common Factor Method
Now, list down the factors of 6371
:1,23,277,6371
Now, list down the factors of 6506
:1,2,3253,6506
Greatest Common Factor
We found the factors 6371,6506 . The biggest common factor number is the GCF number.
So the greatest common factor 6371,6506 is 1.
Lets's calculate LCM of 914,4064
| 2 | 914, 4064 |
| 457, 2032 |
∴ So the LCM of the given numbers is 2 x 457 x 2032 = 1857248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1857248
Therefore, the GCF of Fractions 6371/914,6506/4064 is 1/1857248
Least Common Multiple of 914,4064 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 914,4064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,4064) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,4064) x common factors =2 x 1 = 2
LCM(914,4064) = ( 914 × 4064 ) / 2
LCM(914,4064) = 3714496 / 2
LCM(914,4064) = 1857248
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FAQs on GCF of Fractions of 6371/914, 6506/4064
1. What is the HCF of 6371,6506?
The HCF of 6371,6506 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 6371/914, 6506/4064?
Answer: GCF of Numerators as per given numbers 6371/914, 6506/4064 is
GCF of Numerators i.e. for 6371,6506 is 1
LCM of denominators i.e. for 914,4064 is 1857248.
Thus, GCF of Fractions is 1/1857248.Finally, GCF of Fractions for 6371/914, 6506/4064 is 1/1857248.