GCF of 6152/208, 9846/856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6152/208, 9846/856 i.e 2/22256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6152/208, 9846/856.
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 6152/208,9846/856?
Given fractions are 6152/208,9846/856
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 6152/208,9846/856, numerators are 6152,9846
Denominators are 208,856
The GCF of 6152,9846 is 2 .
LCM of 208,856 is 22256.
The greatest common factor of 6152/208,9846/856 = [GCF of 6152,9846]/[LCM of 208,856]= 2/22256
Therefore, the GCF of 6152/208,9846/856 is 2/22256.
To find the highest common factor of 6152,9846, we have to find the factors of both numbers and list the highest common factor.
The factors of 6152 are 1, 2, 4, 8, 769, 1538, 3076, 6152
The factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846
The HCF of 6152,9846 is 2.
Lets's calculate GCF of 6152,9846
| 2 | 6152, 9846 |
| 3076, 4923 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6152,9846 By Matching Biggest Common Factor Method
Now, list down the factors of 6152
:1,2,4,8,769,1538,3076,6152
Now, list down the factors of 9846
:1,2,3,6,9,18,547,1094,1641,3282,4923,9846
Greatest Common Factor
We found the factors 6152,9846 . The biggest common factor number is the GCF number.
So the greatest common factor 6152,9846 is 2.
Lets's calculate LCM of 208,856
| 2 | 208, 856 |
| 2 | 104, 428 |
| 2 | 52, 214 |
| 26, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 26 x 107 = 22256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22256
Therefore, the GCF of Fractions 6152/208,9846/856 is 2/22256
Least Common Multiple of 208,856 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 208,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,856) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(208,856) x common factors =8 x 1 = 8
LCM(208,856) = ( 208 × 856 ) / 8
LCM(208,856) = 178048 / 8
LCM(208,856) = 22256
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FAQs on GCF of Fractions of 6152/208, 9846/856
1. What is the HCF of 6152,9846?
The HCF of 6152,9846 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 6152/208, 9846/856?
Answer: GCF of Numerators as per given numbers 6152/208, 9846/856 is
GCF of Numerators i.e. for 6152,9846 is 2
LCM of denominators i.e. for 208,856 is 22256.
Thus, GCF of Fractions is 2/22256.Finally, GCF of Fractions for 6152/208, 9846/856 is 2/22256.