GCF of 1189/964, 6142/9872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1189/964, 6142/9872 i.e 1/2379152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1189/964, 6142/9872.
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 1189/964,6142/9872?
Given fractions are 1189/964,6142/9872
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 1189/964,6142/9872, numerators are 1189,6142
Denominators are 964,9872
The GCF of 1189,6142 is 1 .
LCM of 964,9872 is 2379152.
The greatest common factor of 1189/964,6142/9872 = [GCF of 1189,6142]/[LCM of 964,9872]= 1/2379152
Therefore, the GCF of 1189/964,6142/9872 is 1/2379152.
To find the highest common factor of 1189,6142, we have to find the factors of both numbers and list the highest common factor.
The factors of 1189 are 1, 29, 41, 1189
The factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142
The HCF of 1189,6142 is 1.
Lets's calculate GCF of 1189,6142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1189,6142 By Matching Biggest Common Factor Method
Now, list down the factors of 1189
:1,29,41,1189
Now, list down the factors of 6142
:1,2,37,74,83,166,3071,6142
Greatest Common Factor
We found the factors 1189,6142 . The biggest common factor number is the GCF number.
So the greatest common factor 1189,6142 is 1.
Lets's calculate LCM of 964,9872
| 2 | 964, 9872 |
| 2 | 482, 4936 |
| 241, 2468 |
∴ So the LCM of the given numbers is 2 x 2 x 241 x 2468 = 2379152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2379152
Therefore, the GCF of Fractions 1189/964,6142/9872 is 1/2379152
Least Common Multiple of 964,9872 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 964,9872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,9872) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(964,9872) x common factors =4 x 1 = 4
LCM(964,9872) = ( 964 × 9872 ) / 4
LCM(964,9872) = 9516608 / 4
LCM(964,9872) = 2379152
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FAQs on GCF of Fractions of 1189/964, 6142/9872
1. What is the HCF of 1189,6142?
The HCF of 1189,6142 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 1189/964, 6142/9872?
Answer: GCF of Numerators as per given numbers 1189/964, 6142/9872 is
GCF of Numerators i.e. for 1189,6142 is 1
LCM of denominators i.e. for 964,9872 is 2379152.
Thus, GCF of Fractions is 1/2379152.Finally, GCF of Fractions for 1189/964, 6142/9872 is 1/2379152.