GCF of 4198/704, 8092/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4198/704, 8092/974 i.e 2/342848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4198/704, 8092/974.
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 4198/704,8092/974?
Given fractions are 4198/704,8092/974
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 4198/704,8092/974, numerators are 4198,8092
Denominators are 704,974
The GCF of 4198,8092 is 2 .
LCM of 704,974 is 342848.
The greatest common factor of 4198/704,8092/974 = [GCF of 4198,8092]/[LCM of 704,974]= 2/342848
Therefore, the GCF of 4198/704,8092/974 is 2/342848.
To find the highest common factor of 4198,8092, we have to find the factors of both numbers and list the highest common factor.
The factors of 4198 are 1, 2, 2099, 4198
The factors of 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092
The HCF of 4198,8092 is 2.
Lets's calculate GCF of 4198,8092
| 2 | 4198, 8092 |
| 2099, 4046 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4198,8092 By Matching Biggest Common Factor Method
Now, list down the factors of 4198
:1,2,2099,4198
Now, list down the factors of 8092
:1,2,4,7,14,17,28,34,68,119,238,289,476,578,1156,2023,4046,8092
Greatest Common Factor
We found the factors 4198,8092 . The biggest common factor number is the GCF number.
So the greatest common factor 4198,8092 is 2.
Lets's calculate LCM of 704,974
| 2 | 704, 974 |
| 352, 487 |
∴ So the LCM of the given numbers is 2 x 352 x 487 = 342848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/342848
Therefore, the GCF of Fractions 4198/704,8092/974 is 2/342848
Least Common Multiple of 704,974 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 704,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(704,974) x common factors =2 x 1 = 2
LCM(704,974) = ( 704 × 974 ) / 2
LCM(704,974) = 685696 / 2
LCM(704,974) = 342848
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FAQs on GCF of Fractions of 4198/704, 8092/974
1. What is the HCF of 4198,8092?
The HCF of 4198,8092 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 4198/704, 8092/974?
Answer: GCF of Numerators as per given numbers 4198/704, 8092/974 is
GCF of Numerators i.e. for 4198,8092 is 2
LCM of denominators i.e. for 704,974 is 342848.
Thus, GCF of Fractions is 2/342848.Finally, GCF of Fractions for 4198/704, 8092/974 is 2/342848.