GCF of 1094/346, 9670/9294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1094/346, 9670/9294 i.e 2/1607862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1094/346, 9670/9294.
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 1094/346,9670/9294?
Given fractions are 1094/346,9670/9294
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 1094/346,9670/9294, numerators are 1094,9670
Denominators are 346,9294
The GCF of 1094,9670 is 2 .
LCM of 346,9294 is 1607862.
The greatest common factor of 1094/346,9670/9294 = [GCF of 1094,9670]/[LCM of 346,9294]= 2/1607862
Therefore, the GCF of 1094/346,9670/9294 is 2/1607862.
To find the highest common factor of 1094,9670, we have to find the factors of both numbers and list the highest common factor.
The factors of 1094 are 1, 2, 547, 1094
The factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670
The HCF of 1094,9670 is 2.
Lets's calculate GCF of 1094,9670
| 2 | 1094, 9670 |
| 547, 4835 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1094,9670 By Matching Biggest Common Factor Method
Now, list down the factors of 1094
:1,2,547,1094
Now, list down the factors of 9670
:1,2,5,10,967,1934,4835,9670
Greatest Common Factor
We found the factors 1094,9670 . The biggest common factor number is the GCF number.
So the greatest common factor 1094,9670 is 2.
Lets's calculate LCM of 346,9294
| 2 | 346, 9294 |
| 173, 4647 |
∴ So the LCM of the given numbers is 2 x 173 x 4647 = 1607862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1607862
Therefore, the GCF of Fractions 1094/346,9670/9294 is 2/1607862
Least Common Multiple of 346,9294 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 346,9294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,9294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,9294) x common factors =2 x 1 = 2
LCM(346,9294) = ( 346 × 9294 ) / 2
LCM(346,9294) = 3215724 / 2
LCM(346,9294) = 1607862
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FAQs on GCF of Fractions of 1094/346, 9670/9294
1. What is the HCF of 1094,9670?
The HCF of 1094,9670 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 1094/346, 9670/9294?
Answer: GCF of Numerators as per given numbers 1094/346, 9670/9294 is
GCF of Numerators i.e. for 1094,9670 is 2
LCM of denominators i.e. for 346,9294 is 1607862.
Thus, GCF of Fractions is 2/1607862.Finally, GCF of Fractions for 1094/346, 9670/9294 is 2/1607862.