GCF of 2346/693, 9231/8245
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2346/693, 9231/8245 i.e 51/5713785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2346/693, 9231/8245.
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 2346/693,9231/8245?
Given fractions are 2346/693,9231/8245
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 2346/693,9231/8245, numerators are 2346,9231
Denominators are 693,8245
The GCF of 2346,9231 is 51 .
LCM of 693,8245 is 5713785.
The greatest common factor of 2346/693,9231/8245 = [GCF of 2346,9231]/[LCM of 693,8245]= 51/5713785
Therefore, the GCF of 2346/693,9231/8245 is 51/5713785.
To find the highest common factor of 2346,9231, we have to find the factors of both numbers and list the highest common factor.
The factors of 2346 are 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346
The factors of 9231 are 1, 3, 17, 51, 181, 543, 3077, 9231
The HCF of 2346,9231 is 51.
Lets's calculate GCF of 2346,9231
| 3 | 2346, 9231 |
| 17 | 782, 3077 |
| 46, 181 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Greatest Common Factor of 2346,9231 By Matching Biggest Common Factor Method
Now, list down the factors of 2346
:1,2,3,6,17,23,34,46,51,69,102,138,391,782,1173,2346
Now, list down the factors of 9231
:1,3,17,51,181,543,3077,9231
Greatest Common Factor
We found the factors 2346,9231 . The biggest common factor number is the GCF number.
So the greatest common factor 2346,9231 is 51.
Lets's calculate LCM of 693,8245
Given numbers has no common factors except 1. So, there LCM is their product i.e 5713785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/5713785
Therefore, the GCF of Fractions 2346/693,9231/8245 is 51/5713785
Least Common Multiple of 693,8245 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 693,8245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,8245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(693,8245) x common factors =1 x 1 = 1
LCM(693,8245) = ( 693 × 8245 ) / 1
LCM(693,8245) = 5713785 / 1
LCM(693,8245) = 5713785
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FAQs on GCF of Fractions of 2346/693, 9231/8245
1. What is the HCF of 2346,9231?
The HCF of 2346,9231 is 51
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 2346/693, 9231/8245?
Answer: GCF of Numerators as per given numbers 2346/693, 9231/8245 is
GCF of Numerators i.e. for 2346,9231 is 51
LCM of denominators i.e. for 693,8245 is 5713785.
Thus, GCF of Fractions is 51/5713785.Finally, GCF of Fractions for 2346/693, 9231/8245 is 51/5713785.