GCF of 594/80, 432/2140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 594/80, 432/2140 i.e 54/8560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 594/80, 432/2140.
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 594/80,432/2140?
Given fractions are 594/80,432/2140
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 594/80,432/2140, numerators are 594,432
Denominators are 80,2140
The GCF of 594,432 is 54 .
LCM of 80,2140 is 8560.
The greatest common factor of 594/80,432/2140 = [GCF of 594,432]/[LCM of 80,2140]= 54/8560
Therefore, the GCF of 594/80,432/2140 is 54/8560.
To find the highest common factor of 594,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
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 594,432 is 54.
Lets's calculate GCF of 594,432
| 2 | 594, 432 |
| 3 | 297, 216 |
| 3 | 99, 72 |
| 3 | 33, 24 |
| 11, 8 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Greatest Common Factor of 594,432 By Matching Biggest Common Factor Method
Now, list down the factors of 594
:1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
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 594,432 . The biggest common factor number is the GCF number.
So the greatest common factor 594,432 is 54.
Lets's calculate LCM of 80,2140
| 2 | 80, 2140 |
| 2 | 40, 1070 |
| 5 | 20, 535 |
| 4, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 107 = 8560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/8560
Therefore, the GCF of Fractions 594/80,432/2140 is 54/8560
Least Common Multiple of 80,2140 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 80,2140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,2140) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(80,2140) x common factors =20 x 1 = 20
LCM(80,2140) = ( 80 × 2140 ) / 20
LCM(80,2140) = 171200 / 20
LCM(80,2140) = 8560
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FAQs on GCF of Fractions of 594/80, 432/2140
1. What is the HCF of 594,432?
The HCF of 594,432 is 54
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 594/80, 432/2140?
Answer: GCF of Numerators as per given numbers 594/80, 432/2140 is
GCF of Numerators i.e. for 594,432 is 54
LCM of denominators i.e. for 80,2140 is 8560.
Thus, GCF of Fractions is 54/8560.Finally, GCF of Fractions for 594/80, 432/2140 is 54/8560.