GCF of 1964/133, 6348/4323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1964/133, 6348/4323 i.e 4/574959 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1964/133, 6348/4323.
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 1964/133,6348/4323?
Given fractions are 1964/133,6348/4323
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 1964/133,6348/4323, numerators are 1964,6348
Denominators are 133,4323
The GCF of 1964,6348 is 4 .
LCM of 133,4323 is 574959.
The greatest common factor of 1964/133,6348/4323 = [GCF of 1964,6348]/[LCM of 133,4323]= 4/574959
Therefore, the GCF of 1964/133,6348/4323 is 4/574959.
To find the highest common factor of 1964,6348, we have to find the factors of both numbers and list the highest common factor.
The factors of 1964 are 1, 2, 4, 491, 982, 1964
The factors of 6348 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348
The HCF of 1964,6348 is 4.
Lets's calculate GCF of 1964,6348
| 2 | 1964, 6348 |
| 2 | 982, 3174 |
| 491, 1587 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1964,6348 By Matching Biggest Common Factor Method
Now, list down the factors of 1964
:1,2,4,491,982,1964
Now, list down the factors of 6348
:1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348
Greatest Common Factor
We found the factors 1964,6348 . The biggest common factor number is the GCF number.
So the greatest common factor 1964,6348 is 4.
Lets's calculate LCM of 133,4323
Given numbers has no common factors except 1. So, there LCM is their product i.e 574959
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/574959
Therefore, the GCF of Fractions 1964/133,6348/4323 is 4/574959
Least Common Multiple of 133,4323 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 133,4323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,4323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,4323) x common factors =1 x 1 = 1
LCM(133,4323) = ( 133 × 4323 ) / 1
LCM(133,4323) = 574959 / 1
LCM(133,4323) = 574959
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FAQs on GCF of Fractions of 1964/133, 6348/4323
1. What is the HCF of 1964,6348?
The HCF of 1964,6348 is 4
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 1964/133, 6348/4323?
Answer: GCF of Numerators as per given numbers 1964/133, 6348/4323 is
GCF of Numerators i.e. for 1964,6348 is 4
LCM of denominators i.e. for 133,4323 is 574959.
Thus, GCF of Fractions is 4/574959.Finally, GCF of Fractions for 1964/133, 6348/4323 is 4/574959.