GCF of 43/147, 621/539, 524/148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/147, 621/539, 524/148 i.e 1/239316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/147, 621/539, 524/148.
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 43/147,621/539,524/148?
Given fractions are 43/147,621/539,524/148
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 43/147,621/539,524/148, numerators are 43,621,524
Denominators are 147,539,148
The GCF of 43,621,524 is 1 .
LCM of 147,539,148 is 239316.
The greatest common factor of 43/147,621/539,524/148 = [GCF of 43,621,524]/[LCM of 147,539,148]= 1/239316
Therefore, the GCF of 43/147,621/539,524/148 is 1/239316.
To find the highest common factor of 43,621,524, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The factors of 524 are 1, 2, 4, 131, 262, 524
The HCF of 43,621,524 is 1.
Lets's calculate GCF of 43,621,524
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,621,524 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Now, list down the factors of 524
:1,2,4,131,262,524
Greatest Common Factor
We found the factors 43,621,524 . The biggest common factor number is the GCF number.
So the greatest common factor 43,621,524 is 1.
Lets's calculate LCM of 147,539,148
| 7 | 147, 539, 148 |
| 7 | 21, 77, 148 |
| 3, 11, 148 |
∴ So the LCM of the given numbers is 7 x 7 x 3 x 11 x 148 = 239316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239316
Therefore, the GCF of Fractions 43/147,621/539,524/148 is 1/239316
Least Common Multiple of 147,539,148 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 147,539,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,539,148) = 1
common factors(in case of two or more numbers have common factors) = 49
GCF(147,539,148) x common factors =1 x 49 = 49
LCM(147,539,148) = ( 147 × 539 × 148 ) / 49
LCM(147,539,148) = 11726484 / 49
LCM(147,539,148) = 239316
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FAQs on GCF of Fractions of 43/147, 621/539, 524/148
1. What is the HCF of 43,621,524?
The HCF of 43,621,524 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 43/147, 621/539, 524/148?
Answer: GCF of Numerators as per given numbers 43/147, 621/539, 524/148 is
GCF of Numerators i.e. for 43,621,524 is 1
LCM of denominators i.e. for 147,539,148 is 239316.
Thus, GCF of Fractions is 1/239316.Finally, GCF of Fractions for 43/147, 621/539, 524/148 is 1/239316.