GCF of 7981/862, 5428/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7981/862, 5428/206 i.e 23/88786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7981/862, 5428/206.
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 7981/862,5428/206?
Given fractions are 7981/862,5428/206
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 7981/862,5428/206, numerators are 7981,5428
Denominators are 862,206
The GCF of 7981,5428 is 23 .
LCM of 862,206 is 88786.
The greatest common factor of 7981/862,5428/206 = [GCF of 7981,5428]/[LCM of 862,206]= 23/88786
Therefore, the GCF of 7981/862,5428/206 is 23/88786.
To find the highest common factor of 7981,5428, we have to find the factors of both numbers and list the highest common factor.
The factors of 7981 are 1, 23, 347, 7981
The factors of 5428 are 1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428
The HCF of 7981,5428 is 23.
Lets's calculate GCF of 7981,5428
| 23 | 7981, 5428 |
| 347, 236 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 7981,5428 By Matching Biggest Common Factor Method
Now, list down the factors of 7981
:1,23,347,7981
Now, list down the factors of 5428
:1,2,4,23,46,59,92,118,236,1357,2714,5428
Greatest Common Factor
We found the factors 7981,5428 . The biggest common factor number is the GCF number.
So the greatest common factor 7981,5428 is 23.
Lets's calculate LCM of 862,206
| 2 | 862, 206 |
| 431, 103 |
∴ So the LCM of the given numbers is 2 x 431 x 103 = 88786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/88786
Therefore, the GCF of Fractions 7981/862,5428/206 is 23/88786
Least Common Multiple of 862,206 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 862,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,206) x common factors =2 x 1 = 2
LCM(862,206) = ( 862 × 206 ) / 2
LCM(862,206) = 177572 / 2
LCM(862,206) = 88786
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FAQs on GCF of Fractions of 7981/862, 5428/206
1. What is the HCF of 7981,5428?
The HCF of 7981,5428 is 23
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 7981/862, 5428/206?
Answer: GCF of Numerators as per given numbers 7981/862, 5428/206 is
GCF of Numerators i.e. for 7981,5428 is 23
LCM of denominators i.e. for 862,206 is 88786.
Thus, GCF of Fractions is 23/88786.Finally, GCF of Fractions for 7981/862, 5428/206 is 23/88786.