GCF of 6796/864, 9784/7538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6796/864, 9784/7538 i.e 4/3256416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6796/864, 9784/7538.
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 6796/864,9784/7538?
Given fractions are 6796/864,9784/7538
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 6796/864,9784/7538, numerators are 6796,9784
Denominators are 864,7538
The GCF of 6796,9784 is 4 .
LCM of 864,7538 is 3256416.
The greatest common factor of 6796/864,9784/7538 = [GCF of 6796,9784]/[LCM of 864,7538]= 4/3256416
Therefore, the GCF of 6796/864,9784/7538 is 4/3256416.
To find the highest common factor of 6796,9784, we have to find the factors of both numbers and list the highest common factor.
The factors of 6796 are 1, 2, 4, 1699, 3398, 6796
The factors of 9784 are 1, 2, 4, 8, 1223, 2446, 4892, 9784
The HCF of 6796,9784 is 4.
Lets's calculate GCF of 6796,9784
| 2 | 6796, 9784 |
| 2 | 3398, 4892 |
| 1699, 2446 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6796,9784 By Matching Biggest Common Factor Method
Now, list down the factors of 6796
:1,2,4,1699,3398,6796
Now, list down the factors of 9784
:1,2,4,8,1223,2446,4892,9784
Greatest Common Factor
We found the factors 6796,9784 . The biggest common factor number is the GCF number.
So the greatest common factor 6796,9784 is 4.
Lets's calculate LCM of 864,7538
| 2 | 864, 7538 |
| 432, 3769 |
∴ So the LCM of the given numbers is 2 x 432 x 3769 = 3256416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3256416
Therefore, the GCF of Fractions 6796/864,9784/7538 is 4/3256416
Least Common Multiple of 864,7538 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 864,7538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,7538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(864,7538) x common factors =2 x 1 = 2
LCM(864,7538) = ( 864 × 7538 ) / 2
LCM(864,7538) = 6512832 / 2
LCM(864,7538) = 3256416
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6796/864, 9784/7538
1. What is the HCF of 6796,9784?
The HCF of 6796,9784 is 4
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 6796/864, 9784/7538?
Answer: GCF of Numerators as per given numbers 6796/864, 9784/7538 is
GCF of Numerators i.e. for 6796,9784 is 4
LCM of denominators i.e. for 864,7538 is 3256416.
Thus, GCF of Fractions is 4/3256416.Finally, GCF of Fractions for 6796/864, 9784/7538 is 4/3256416.