GCF of 542/85, 432/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 542/85, 432/825 i.e 2/14025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 542/85, 432/825.
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 542/85,432/825?
Given fractions are 542/85,432/825
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 542/85,432/825, numerators are 542,432
Denominators are 85,825
The GCF of 542,432 is 2 .
LCM of 85,825 is 14025.
The greatest common factor of 542/85,432/825 = [GCF of 542,432]/[LCM of 85,825]= 2/14025
Therefore, the GCF of 542/85,432/825 is 2/14025.
To find the highest common factor of 542,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 542 are 1, 2, 271, 542
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 542,432 is 2.
Lets's calculate GCF of 542,432
| 2 | 542, 432 |
| 271, 216 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 542,432 By Matching Biggest Common Factor Method
Now, list down the factors of 542
:1,2,271,542
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 542,432 . The biggest common factor number is the GCF number.
So the greatest common factor 542,432 is 2.
Lets's calculate LCM of 85,825
| 5 | 85, 825 |
| 17, 165 |
∴ So the LCM of the given numbers is 5 x 17 x 165 = 14025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14025
Therefore, the GCF of Fractions 542/85,432/825 is 2/14025
Least Common Multiple of 85,825 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 85,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,825) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(85,825) x common factors =5 x 1 = 5
LCM(85,825) = ( 85 × 825 ) / 5
LCM(85,825) = 70125 / 5
LCM(85,825) = 14025
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FAQs on GCF of Fractions of 542/85, 432/825
1. What is the HCF of 542,432?
The HCF of 542,432 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 542/85, 432/825?
Answer: GCF of Numerators as per given numbers 542/85, 432/825 is
GCF of Numerators i.e. for 542,432 is 2
LCM of denominators i.e. for 85,825 is 14025.
Thus, GCF of Fractions is 2/14025.Finally, GCF of Fractions for 542/85, 432/825 is 2/14025.