GCF of 3466/542, 2324/862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3466/542, 2324/862 i.e 2/233602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3466/542, 2324/862.
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 3466/542,2324/862?
Given fractions are 3466/542,2324/862
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 3466/542,2324/862, numerators are 3466,2324
Denominators are 542,862
The GCF of 3466,2324 is 2 .
LCM of 542,862 is 233602.
The greatest common factor of 3466/542,2324/862 = [GCF of 3466,2324]/[LCM of 542,862]= 2/233602
Therefore, the GCF of 3466/542,2324/862 is 2/233602.
To find the highest common factor of 3466,2324, we have to find the factors of both numbers and list the highest common factor.
The factors of 3466 are 1, 2, 1733, 3466
The factors of 2324 are 1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324
The HCF of 3466,2324 is 2.
Lets's calculate GCF of 3466,2324
| 2 | 3466, 2324 |
| 1733, 1162 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3466,2324 By Matching Biggest Common Factor Method
Now, list down the factors of 3466
:1,2,1733,3466
Now, list down the factors of 2324
:1,2,4,7,14,28,83,166,332,581,1162,2324
Greatest Common Factor
We found the factors 3466,2324 . The biggest common factor number is the GCF number.
So the greatest common factor 3466,2324 is 2.
Lets's calculate LCM of 542,862
| 2 | 542, 862 |
| 271, 431 |
∴ So the LCM of the given numbers is 2 x 271 x 431 = 233602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/233602
Therefore, the GCF of Fractions 3466/542,2324/862 is 2/233602
Least Common Multiple of 542,862 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 542,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,862) x common factors =2 x 1 = 2
LCM(542,862) = ( 542 × 862 ) / 2
LCM(542,862) = 467204 / 2
LCM(542,862) = 233602
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FAQs on GCF of Fractions of 3466/542, 2324/862
1. What is the HCF of 3466,2324?
The HCF of 3466,2324 is 2
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 3466/542, 2324/862?
Answer: GCF of Numerators as per given numbers 3466/542, 2324/862 is
GCF of Numerators i.e. for 3466,2324 is 2
LCM of denominators i.e. for 542,862 is 233602.
Thus, GCF of Fractions is 2/233602.Finally, GCF of Fractions for 3466/542, 2324/862 is 2/233602.