GCF of 4533/461, 6972/2319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4533/461, 6972/2319 i.e 3/1069059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4533/461, 6972/2319.
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 4533/461,6972/2319?
Given fractions are 4533/461,6972/2319
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 4533/461,6972/2319, numerators are 4533,6972
Denominators are 461,2319
The GCF of 4533,6972 is 3 .
LCM of 461,2319 is 1069059.
The greatest common factor of 4533/461,6972/2319 = [GCF of 4533,6972]/[LCM of 461,2319]= 3/1069059
Therefore, the GCF of 4533/461,6972/2319 is 3/1069059.
To find the highest common factor of 4533,6972, we have to find the factors of both numbers and list the highest common factor.
The factors of 4533 are 1, 3, 1511, 4533
The factors of 6972 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972
The HCF of 4533,6972 is 3.
Lets's calculate GCF of 4533,6972
| 3 | 4533, 6972 |
| 1511, 2324 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4533,6972 By Matching Biggest Common Factor Method
Now, list down the factors of 4533
:1,3,1511,4533
Now, list down the factors of 6972
:1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972
Greatest Common Factor
We found the factors 4533,6972 . The biggest common factor number is the GCF number.
So the greatest common factor 4533,6972 is 3.
Lets's calculate LCM of 461,2319
Given numbers has no common factors except 1. So, there LCM is their product i.e 1069059
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1069059
Therefore, the GCF of Fractions 4533/461,6972/2319 is 3/1069059
Least Common Multiple of 461,2319 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 461,2319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,2319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,2319) x common factors =1 x 1 = 1
LCM(461,2319) = ( 461 × 2319 ) / 1
LCM(461,2319) = 1069059 / 1
LCM(461,2319) = 1069059
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FAQs on GCF of Fractions of 4533/461, 6972/2319
1. What is the HCF of 4533,6972?
The HCF of 4533,6972 is 3
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 4533/461, 6972/2319?
Answer: GCF of Numerators as per given numbers 4533/461, 6972/2319 is
GCF of Numerators i.e. for 4533,6972 is 3
LCM of denominators i.e. for 461,2319 is 1069059.
Thus, GCF of Fractions is 3/1069059.Finally, GCF of Fractions for 4533/461, 6972/2319 is 3/1069059.