GCF of 1214/693, 9373/6084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1214/693, 9373/6084 i.e 1/468468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1214/693, 9373/6084.
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 1214/693,9373/6084?
Given fractions are 1214/693,9373/6084
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 1214/693,9373/6084, numerators are 1214,9373
Denominators are 693,6084
The GCF of 1214,9373 is 1 .
LCM of 693,6084 is 468468.
The greatest common factor of 1214/693,9373/6084 = [GCF of 1214,9373]/[LCM of 693,6084]= 1/468468
Therefore, the GCF of 1214/693,9373/6084 is 1/468468.
To find the highest common factor of 1214,9373, we have to find the factors of both numbers and list the highest common factor.
The factors of 1214 are 1, 2, 607, 1214
The factors of 9373 are 1, 7, 13, 91, 103, 721, 1339, 9373
The HCF of 1214,9373 is 1.
Lets's calculate GCF of 1214,9373
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1214,9373 By Matching Biggest Common Factor Method
Now, list down the factors of 1214
:1,2,607,1214
Now, list down the factors of 9373
:1,7,13,91,103,721,1339,9373
Greatest Common Factor
We found the factors 1214,9373 . The biggest common factor number is the GCF number.
So the greatest common factor 1214,9373 is 1.
Lets's calculate LCM of 693,6084
| 3 | 693, 6084 |
| 3 | 231, 2028 |
| 77, 676 |
∴ So the LCM of the given numbers is 3 x 3 x 77 x 676 = 468468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/468468
Therefore, the GCF of Fractions 1214/693,9373/6084 is 1/468468
Least Common Multiple of 693,6084 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 693,6084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,6084) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(693,6084) x common factors =9 x 1 = 9
LCM(693,6084) = ( 693 × 6084 ) / 9
LCM(693,6084) = 4216212 / 9
LCM(693,6084) = 468468
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FAQs on GCF of Fractions of 1214/693, 9373/6084
1. What is the HCF of 1214,9373?
The HCF of 1214,9373 is 1
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 1214/693, 9373/6084?
Answer: GCF of Numerators as per given numbers 1214/693, 9373/6084 is
GCF of Numerators i.e. for 1214,9373 is 1
LCM of denominators i.e. for 693,6084 is 468468.
Thus, GCF of Fractions is 1/468468.Finally, GCF of Fractions for 1214/693, 9373/6084 is 1/468468.