GCF of 6287/124, 6782/4514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6287/124, 6782/4514 i.e 1/279868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6287/124, 6782/4514.
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 6287/124,6782/4514?
Given fractions are 6287/124,6782/4514
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 6287/124,6782/4514, numerators are 6287,6782
Denominators are 124,4514
The GCF of 6287,6782 is 1 .
LCM of 124,4514 is 279868.
The greatest common factor of 6287/124,6782/4514 = [GCF of 6287,6782]/[LCM of 124,4514]= 1/279868
Therefore, the GCF of 6287/124,6782/4514 is 1/279868.
To find the highest common factor of 6287,6782, we have to find the factors of both numbers and list the highest common factor.
The factors of 6287 are 1, 6287
The factors of 6782 are 1, 2, 3391, 6782
The HCF of 6287,6782 is 1.
Lets's calculate GCF of 6287,6782
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6287,6782 By Matching Biggest Common Factor Method
Now, list down the factors of 6287
:1,6287
Now, list down the factors of 6782
:1,2,3391,6782
Greatest Common Factor
We found the factors 6287,6782 . The biggest common factor number is the GCF number.
So the greatest common factor 6287,6782 is 1.
Lets's calculate LCM of 124,4514
| 2 | 124, 4514 |
| 62, 2257 |
∴ So the LCM of the given numbers is 2 x 62 x 2257 = 279868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279868
Therefore, the GCF of Fractions 6287/124,6782/4514 is 1/279868
Least Common Multiple of 124,4514 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 124,4514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,4514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(124,4514) x common factors =2 x 1 = 2
LCM(124,4514) = ( 124 × 4514 ) / 2
LCM(124,4514) = 559736 / 2
LCM(124,4514) = 279868
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FAQs on GCF of Fractions of 6287/124, 6782/4514
1. What is the HCF of 6287,6782?
The HCF of 6287,6782 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 6287/124, 6782/4514?
Answer: GCF of Numerators as per given numbers 6287/124, 6782/4514 is
GCF of Numerators i.e. for 6287,6782 is 1
LCM of denominators i.e. for 124,4514 is 279868.
Thus, GCF of Fractions is 1/279868.Finally, GCF of Fractions for 6287/124, 6782/4514 is 1/279868.