GCF of 6731/706, 6945/7388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6731/706, 6945/7388 i.e 1/2607964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6731/706, 6945/7388.
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 6731/706,6945/7388?
Given fractions are 6731/706,6945/7388
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 6731/706,6945/7388, numerators are 6731,6945
Denominators are 706,7388
The GCF of 6731,6945 is 1 .
LCM of 706,7388 is 2607964.
The greatest common factor of 6731/706,6945/7388 = [GCF of 6731,6945]/[LCM of 706,7388]= 1/2607964
Therefore, the GCF of 6731/706,6945/7388 is 1/2607964.
To find the highest common factor of 6731,6945, we have to find the factors of both numbers and list the highest common factor.
The factors of 6731 are 1, 53, 127, 6731
The factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945
The HCF of 6731,6945 is 1.
Lets's calculate GCF of 6731,6945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6731,6945 By Matching Biggest Common Factor Method
Now, list down the factors of 6731
:1,53,127,6731
Now, list down the factors of 6945
:1,3,5,15,463,1389,2315,6945
Greatest Common Factor
We found the factors 6731,6945 . The biggest common factor number is the GCF number.
So the greatest common factor 6731,6945 is 1.
Lets's calculate LCM of 706,7388
| 2 | 706, 7388 |
| 353, 3694 |
∴ So the LCM of the given numbers is 2 x 353 x 3694 = 2607964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2607964
Therefore, the GCF of Fractions 6731/706,6945/7388 is 1/2607964
Least Common Multiple of 706,7388 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 706,7388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,7388) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,7388) x common factors =2 x 1 = 2
LCM(706,7388) = ( 706 × 7388 ) / 2
LCM(706,7388) = 5215928 / 2
LCM(706,7388) = 2607964
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FAQs on GCF of Fractions of 6731/706, 6945/7388
1. What is the HCF of 6731,6945?
The HCF of 6731,6945 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 6731/706, 6945/7388?
Answer: GCF of Numerators as per given numbers 6731/706, 6945/7388 is
GCF of Numerators i.e. for 6731,6945 is 1
LCM of denominators i.e. for 706,7388 is 2607964.
Thus, GCF of Fractions is 1/2607964.Finally, GCF of Fractions for 6731/706, 6945/7388 is 1/2607964.