GCF of 6307/512, 5867/9414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6307/512, 5867/9414 i.e 1/2409984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6307/512, 5867/9414.
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 6307/512,5867/9414?
Given fractions are 6307/512,5867/9414
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 6307/512,5867/9414, numerators are 6307,5867
Denominators are 512,9414
The GCF of 6307,5867 is 1 .
LCM of 512,9414 is 2409984.
The greatest common factor of 6307/512,5867/9414 = [GCF of 6307,5867]/[LCM of 512,9414]= 1/2409984
Therefore, the GCF of 6307/512,5867/9414 is 1/2409984.
To find the highest common factor of 6307,5867, we have to find the factors of both numbers and list the highest common factor.
The factors of 6307 are 1, 7, 17, 53, 119, 371, 901, 6307
The factors of 5867 are 1, 5867
The HCF of 6307,5867 is 1.
Lets's calculate GCF of 6307,5867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6307,5867 By Matching Biggest Common Factor Method
Now, list down the factors of 6307
:1,7,17,53,119,371,901,6307
Now, list down the factors of 5867
:1,5867
Greatest Common Factor
We found the factors 6307,5867 . The biggest common factor number is the GCF number.
So the greatest common factor 6307,5867 is 1.
Lets's calculate LCM of 512,9414
| 2 | 512, 9414 |
| 256, 4707 |
∴ So the LCM of the given numbers is 2 x 256 x 4707 = 2409984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2409984
Therefore, the GCF of Fractions 6307/512,5867/9414 is 1/2409984
Least Common Multiple of 512,9414 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 512,9414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,9414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(512,9414) x common factors =2 x 1 = 2
LCM(512,9414) = ( 512 × 9414 ) / 2
LCM(512,9414) = 4819968 / 2
LCM(512,9414) = 2409984
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FAQs on GCF of Fractions of 6307/512, 5867/9414
1. What is the HCF of 6307,5867?
The HCF of 6307,5867 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 6307/512, 5867/9414?
Answer: GCF of Numerators as per given numbers 6307/512, 5867/9414 is
GCF of Numerators i.e. for 6307,5867 is 1
LCM of denominators i.e. for 512,9414 is 2409984.
Thus, GCF of Fractions is 1/2409984.Finally, GCF of Fractions for 6307/512, 5867/9414 is 1/2409984.