GCF of 3189/378, 1427/7202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3189/378, 1427/7202 i.e 1/1361178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3189/378, 1427/7202.
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 3189/378,1427/7202?
Given fractions are 3189/378,1427/7202
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 3189/378,1427/7202, numerators are 3189,1427
Denominators are 378,7202
The GCF of 3189,1427 is 1 .
LCM of 378,7202 is 1361178.
The greatest common factor of 3189/378,1427/7202 = [GCF of 3189,1427]/[LCM of 378,7202]= 1/1361178
Therefore, the GCF of 3189/378,1427/7202 is 1/1361178.
To find the highest common factor of 3189,1427, we have to find the factors of both numbers and list the highest common factor.
The factors of 3189 are 1, 3, 1063, 3189
The factors of 1427 are 1, 1427
The HCF of 3189,1427 is 1.
Lets's calculate GCF of 3189,1427
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3189,1427 By Matching Biggest Common Factor Method
Now, list down the factors of 3189
:1,3,1063,3189
Now, list down the factors of 1427
:1,1427
Greatest Common Factor
We found the factors 3189,1427 . The biggest common factor number is the GCF number.
So the greatest common factor 3189,1427 is 1.
Lets's calculate LCM of 378,7202
| 2 | 378, 7202 |
| 189, 3601 |
∴ So the LCM of the given numbers is 2 x 189 x 3601 = 1361178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1361178
Therefore, the GCF of Fractions 3189/378,1427/7202 is 1/1361178
Least Common Multiple of 378,7202 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 378,7202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,7202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(378,7202) x common factors =2 x 1 = 2
LCM(378,7202) = ( 378 × 7202 ) / 2
LCM(378,7202) = 2722356 / 2
LCM(378,7202) = 1361178
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FAQs on GCF of Fractions of 3189/378, 1427/7202
1. What is the HCF of 3189,1427?
The HCF of 3189,1427 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 3189/378, 1427/7202?
Answer: GCF of Numerators as per given numbers 3189/378, 1427/7202 is
GCF of Numerators i.e. for 3189,1427 is 1
LCM of denominators i.e. for 378,7202 is 1361178.
Thus, GCF of Fractions is 1/1361178.Finally, GCF of Fractions for 3189/378, 1427/7202 is 1/1361178.