GCF of 6894/794, 3294/5192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6894/794, 3294/5192 i.e 18/2061224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6894/794, 3294/5192.
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 6894/794,3294/5192?
Given fractions are 6894/794,3294/5192
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 6894/794,3294/5192, numerators are 6894,3294
Denominators are 794,5192
The GCF of 6894,3294 is 18 .
LCM of 794,5192 is 2061224.
The greatest common factor of 6894/794,3294/5192 = [GCF of 6894,3294]/[LCM of 794,5192]= 18/2061224
Therefore, the GCF of 6894/794,3294/5192 is 18/2061224.
To find the highest common factor of 6894,3294, we have to find the factors of both numbers and list the highest common factor.
The factors of 6894 are 1, 2, 3, 6, 9, 18, 383, 766, 1149, 2298, 3447, 6894
The factors of 3294 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294
The HCF of 6894,3294 is 18.
Lets's calculate GCF of 6894,3294
| 2 | 6894, 3294 |
| 3 | 3447, 1647 |
| 3 | 1149, 549 |
| 383, 183 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 6894,3294 By Matching Biggest Common Factor Method
Now, list down the factors of 6894
:1,2,3,6,9,18,383,766,1149,2298,3447,6894
Now, list down the factors of 3294
:1,2,3,6,9,18,27,54,61,122,183,366,549,1098,1647,3294
Greatest Common Factor
We found the factors 6894,3294 . The biggest common factor number is the GCF number.
So the greatest common factor 6894,3294 is 18.
Lets's calculate LCM of 794,5192
| 2 | 794, 5192 |
| 397, 2596 |
∴ So the LCM of the given numbers is 2 x 397 x 2596 = 2061224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/2061224
Therefore, the GCF of Fractions 6894/794,3294/5192 is 18/2061224
Least Common Multiple of 794,5192 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 794,5192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,5192) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(794,5192) x common factors =2 x 1 = 2
LCM(794,5192) = ( 794 × 5192 ) / 2
LCM(794,5192) = 4122448 / 2
LCM(794,5192) = 2061224
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FAQs on GCF of Fractions of 6894/794, 3294/5192
1. What is the HCF of 6894,3294?
The HCF of 6894,3294 is 18
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 6894/794, 3294/5192?
Answer: GCF of Numerators as per given numbers 6894/794, 3294/5192 is
GCF of Numerators i.e. for 6894,3294 is 18
LCM of denominators i.e. for 794,5192 is 2061224.
Thus, GCF of Fractions is 18/2061224.Finally, GCF of Fractions for 6894/794, 3294/5192 is 18/2061224.