GCF of 7804/894, 7189/3184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7804/894, 7189/3184 i.e 1/1423248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7804/894, 7189/3184.
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 7804/894,7189/3184?
Given fractions are 7804/894,7189/3184
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 7804/894,7189/3184, numerators are 7804,7189
Denominators are 894,3184
The GCF of 7804,7189 is 1 .
LCM of 894,3184 is 1423248.
The greatest common factor of 7804/894,7189/3184 = [GCF of 7804,7189]/[LCM of 894,3184]= 1/1423248
Therefore, the GCF of 7804/894,7189/3184 is 1/1423248.
To find the highest common factor of 7804,7189, we have to find the factors of both numbers and list the highest common factor.
The factors of 7804 are 1, 2, 4, 1951, 3902, 7804
The factors of 7189 are 1, 7, 13, 79, 91, 553, 1027, 7189
The HCF of 7804,7189 is 1.
Lets's calculate GCF of 7804,7189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7804,7189 By Matching Biggest Common Factor Method
Now, list down the factors of 7804
:1,2,4,1951,3902,7804
Now, list down the factors of 7189
:1,7,13,79,91,553,1027,7189
Greatest Common Factor
We found the factors 7804,7189 . The biggest common factor number is the GCF number.
So the greatest common factor 7804,7189 is 1.
Lets's calculate LCM of 894,3184
| 2 | 894, 3184 |
| 447, 1592 |
∴ So the LCM of the given numbers is 2 x 447 x 1592 = 1423248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1423248
Therefore, the GCF of Fractions 7804/894,7189/3184 is 1/1423248
Least Common Multiple of 894,3184 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 894,3184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,3184) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,3184) x common factors =2 x 1 = 2
LCM(894,3184) = ( 894 × 3184 ) / 2
LCM(894,3184) = 2846496 / 2
LCM(894,3184) = 1423248
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7804/894, 7189/3184
1. What is the HCF of 7804,7189?
The HCF of 7804,7189 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 7804/894, 7189/3184?
Answer: GCF of Numerators as per given numbers 7804/894, 7189/3184 is
GCF of Numerators i.e. for 7804,7189 is 1
LCM of denominators i.e. for 894,3184 is 1423248.
Thus, GCF of Fractions is 1/1423248.Finally, GCF of Fractions for 7804/894, 7189/3184 is 1/1423248.