GCF of 6294/124, 8465/7742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6294/124, 8465/7742 i.e 1/480004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6294/124, 8465/7742.
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 6294/124,8465/7742?
Given fractions are 6294/124,8465/7742
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 6294/124,8465/7742, numerators are 6294,8465
Denominators are 124,7742
The GCF of 6294,8465 is 1 .
LCM of 124,7742 is 480004.
The greatest common factor of 6294/124,8465/7742 = [GCF of 6294,8465]/[LCM of 124,7742]= 1/480004
Therefore, the GCF of 6294/124,8465/7742 is 1/480004.
To find the highest common factor of 6294,8465, we have to find the factors of both numbers and list the highest common factor.
The factors of 6294 are 1, 2, 3, 6, 1049, 2098, 3147, 6294
The factors of 8465 are 1, 5, 1693, 8465
The HCF of 6294,8465 is 1.
Lets's calculate GCF of 6294,8465
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6294,8465 By Matching Biggest Common Factor Method
Now, list down the factors of 6294
:1,2,3,6,1049,2098,3147,6294
Now, list down the factors of 8465
:1,5,1693,8465
Greatest Common Factor
We found the factors 6294,8465 . The biggest common factor number is the GCF number.
So the greatest common factor 6294,8465 is 1.
Lets's calculate LCM of 124,7742
| 2 | 124, 7742 |
| 62, 3871 |
∴ So the LCM of the given numbers is 2 x 62 x 3871 = 480004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/480004
Therefore, the GCF of Fractions 6294/124,8465/7742 is 1/480004
Least Common Multiple of 124,7742 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 124,7742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,7742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(124,7742) x common factors =2 x 1 = 2
LCM(124,7742) = ( 124 × 7742 ) / 2
LCM(124,7742) = 960008 / 2
LCM(124,7742) = 480004
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FAQs on GCF of Fractions of 6294/124, 8465/7742
1. What is the HCF of 6294,8465?
The HCF of 6294,8465 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 6294/124, 8465/7742?
Answer: GCF of Numerators as per given numbers 6294/124, 8465/7742 is
GCF of Numerators i.e. for 6294,8465 is 1
LCM of denominators i.e. for 124,7742 is 480004.
Thus, GCF of Fractions is 1/480004.Finally, GCF of Fractions for 6294/124, 8465/7742 is 1/480004.