GCF of 8037/856, 3196/7864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8037/856, 3196/7864 i.e 47/841448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8037/856, 3196/7864.
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 8037/856,3196/7864?
Given fractions are 8037/856,3196/7864
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 8037/856,3196/7864, numerators are 8037,3196
Denominators are 856,7864
The GCF of 8037,3196 is 47 .
LCM of 856,7864 is 841448.
The greatest common factor of 8037/856,3196/7864 = [GCF of 8037,3196]/[LCM of 856,7864]= 47/841448
Therefore, the GCF of 8037/856,3196/7864 is 47/841448.
To find the highest common factor of 8037,3196, we have to find the factors of both numbers and list the highest common factor.
The factors of 8037 are 1, 3, 9, 19, 47, 57, 141, 171, 423, 893, 2679, 8037
The factors of 3196 are 1, 2, 4, 17, 34, 47, 68, 94, 188, 799, 1598, 3196
The HCF of 8037,3196 is 47.
Lets's calculate GCF of 8037,3196
| 47 | 8037, 3196 |
| 171, 68 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 8037,3196 By Matching Biggest Common Factor Method
Now, list down the factors of 8037
:1,3,9,19,47,57,141,171,423,893,2679,8037
Now, list down the factors of 3196
:1,2,4,17,34,47,68,94,188,799,1598,3196
Greatest Common Factor
We found the factors 8037,3196 . The biggest common factor number is the GCF number.
So the greatest common factor 8037,3196 is 47.
Lets's calculate LCM of 856,7864
| 2 | 856, 7864 |
| 2 | 428, 3932 |
| 2 | 214, 1966 |
| 107, 983 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 107 x 983 = 841448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/841448
Therefore, the GCF of Fractions 8037/856,3196/7864 is 47/841448
Least Common Multiple of 856,7864 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 856,7864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,7864) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(856,7864) x common factors =8 x 1 = 8
LCM(856,7864) = ( 856 × 7864 ) / 8
LCM(856,7864) = 6731584 / 8
LCM(856,7864) = 841448
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8037/856, 3196/7864
1. What is the HCF of 8037,3196?
The HCF of 8037,3196 is 47
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 8037/856, 3196/7864?
Answer: GCF of Numerators as per given numbers 8037/856, 3196/7864 is
GCF of Numerators i.e. for 8037,3196 is 47
LCM of denominators i.e. for 856,7864 is 841448.
Thus, GCF of Fractions is 47/841448.Finally, GCF of Fractions for 8037/856, 3196/7864 is 47/841448.