GCF of 1068/431, 8294/3665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1068/431, 8294/3665 i.e 2/1579615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1068/431, 8294/3665.
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 1068/431,8294/3665?
Given fractions are 1068/431,8294/3665
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 1068/431,8294/3665, numerators are 1068,8294
Denominators are 431,3665
The GCF of 1068,8294 is 2 .
LCM of 431,3665 is 1579615.
The greatest common factor of 1068/431,8294/3665 = [GCF of 1068,8294]/[LCM of 431,3665]= 2/1579615
Therefore, the GCF of 1068/431,8294/3665 is 2/1579615.
To find the highest common factor of 1068,8294, we have to find the factors of both numbers and list the highest common factor.
The factors of 1068 are 1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068
The factors of 8294 are 1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 8294
The HCF of 1068,8294 is 2.
Lets's calculate GCF of 1068,8294
| 2 | 1068, 8294 |
| 534, 4147 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1068,8294 By Matching Biggest Common Factor Method
Now, list down the factors of 1068
:1,2,3,4,6,12,89,178,267,356,534,1068
Now, list down the factors of 8294
:1,2,11,13,22,26,29,58,143,286,319,377,638,754,4147,8294
Greatest Common Factor
We found the factors 1068,8294 . The biggest common factor number is the GCF number.
So the greatest common factor 1068,8294 is 2.
Lets's calculate LCM of 431,3665
Given numbers has no common factors except 1. So, there LCM is their product i.e 1579615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1579615
Therefore, the GCF of Fractions 1068/431,8294/3665 is 2/1579615
Least Common Multiple of 431,3665 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 431,3665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,3665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,3665) x common factors =1 x 1 = 1
LCM(431,3665) = ( 431 × 3665 ) / 1
LCM(431,3665) = 1579615 / 1
LCM(431,3665) = 1579615
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FAQs on GCF of Fractions of 1068/431, 8294/3665
1. What is the HCF of 1068,8294?
The HCF of 1068,8294 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 1068/431, 8294/3665?
Answer: GCF of Numerators as per given numbers 1068/431, 8294/3665 is
GCF of Numerators i.e. for 1068,8294 is 2
LCM of denominators i.e. for 431,3665 is 1579615.
Thus, GCF of Fractions is 2/1579615.Finally, GCF of Fractions for 1068/431, 8294/3665 is 2/1579615.