GCF of 6494/744, 8656/5740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6494/744, 8656/5740 i.e 2/1067640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6494/744, 8656/5740.
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 6494/744,8656/5740?
Given fractions are 6494/744,8656/5740
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 6494/744,8656/5740, numerators are 6494,8656
Denominators are 744,5740
The GCF of 6494,8656 is 2 .
LCM of 744,5740 is 1067640.
The greatest common factor of 6494/744,8656/5740 = [GCF of 6494,8656]/[LCM of 744,5740]= 2/1067640
Therefore, the GCF of 6494/744,8656/5740 is 2/1067640.
To find the highest common factor of 6494,8656, we have to find the factors of both numbers and list the highest common factor.
The factors of 6494 are 1, 2, 17, 34, 191, 382, 3247, 6494
The factors of 8656 are 1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656
The HCF of 6494,8656 is 2.
Lets's calculate GCF of 6494,8656
| 2 | 6494, 8656 |
| 3247, 4328 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6494,8656 By Matching Biggest Common Factor Method
Now, list down the factors of 6494
:1,2,17,34,191,382,3247,6494
Now, list down the factors of 8656
:1,2,4,8,16,541,1082,2164,4328,8656
Greatest Common Factor
We found the factors 6494,8656 . The biggest common factor number is the GCF number.
So the greatest common factor 6494,8656 is 2.
Lets's calculate LCM of 744,5740
| 2 | 744, 5740 |
| 2 | 372, 2870 |
| 186, 1435 |
∴ So the LCM of the given numbers is 2 x 2 x 186 x 1435 = 1067640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1067640
Therefore, the GCF of Fractions 6494/744,8656/5740 is 2/1067640
Least Common Multiple of 744,5740 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 744,5740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,5740) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(744,5740) x common factors =4 x 1 = 4
LCM(744,5740) = ( 744 × 5740 ) / 4
LCM(744,5740) = 4270560 / 4
LCM(744,5740) = 1067640
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6494/744, 8656/5740
1. What is the HCF of 6494,8656?
The HCF of 6494,8656 is 2
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 6494/744, 8656/5740?
Answer: GCF of Numerators as per given numbers 6494/744, 8656/5740 is
GCF of Numerators i.e. for 6494,8656 is 2
LCM of denominators i.e. for 744,5740 is 1067640.
Thus, GCF of Fractions is 2/1067640.Finally, GCF of Fractions for 6494/744, 8656/5740 is 2/1067640.