GCF of 643/375, 6865/744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 643/375, 6865/744 i.e 1/93000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 643/375, 6865/744.
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 643/375,6865/744?
Given fractions are 643/375,6865/744
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 643/375,6865/744, numerators are 643,6865
Denominators are 375,744
The GCF of 643,6865 is 1 .
LCM of 375,744 is 93000.
The greatest common factor of 643/375,6865/744 = [GCF of 643,6865]/[LCM of 375,744]= 1/93000
Therefore, the GCF of 643/375,6865/744 is 1/93000.
To find the highest common factor of 643,6865, we have to find the factors of both numbers and list the highest common factor.
The factors of 643 are 1, 643
The factors of 6865 are 1, 5, 1373, 6865
The HCF of 643,6865 is 1.
Lets's calculate GCF of 643,6865
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 643,6865 By Matching Biggest Common Factor Method
Now, list down the factors of 643
:1,643
Now, list down the factors of 6865
:1,5,1373,6865
Greatest Common Factor
We found the factors 643,6865 . The biggest common factor number is the GCF number.
So the greatest common factor 643,6865 is 1.
Lets's calculate LCM of 375,744
| 3 | 375, 744 |
| 125, 248 |
∴ So the LCM of the given numbers is 3 x 125 x 248 = 93000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93000
Therefore, the GCF of Fractions 643/375,6865/744 is 1/93000
Least Common Multiple of 375,744 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 375,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,744) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(375,744) x common factors =3 x 1 = 3
LCM(375,744) = ( 375 × 744 ) / 3
LCM(375,744) = 279000 / 3
LCM(375,744) = 93000
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FAQs on GCF of Fractions of 643/375, 6865/744
1. What is the HCF of 643,6865?
The HCF of 643,6865 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 643/375, 6865/744?
Answer: GCF of Numerators as per given numbers 643/375, 6865/744 is
GCF of Numerators i.e. for 643,6865 is 1
LCM of denominators i.e. for 375,744 is 93000.
Thus, GCF of Fractions is 1/93000.Finally, GCF of Fractions for 643/375, 6865/744 is 1/93000.