GCF of 34/432, 20/225, 731/890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/432, 20/225, 731/890 i.e 1/961200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/432, 20/225, 731/890.
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 34/432,20/225,731/890?
Given fractions are 34/432,20/225,731/890
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 34/432,20/225,731/890, numerators are 34,20,731
Denominators are 432,225,890
The GCF of 34,20,731 is 1 .
LCM of 432,225,890 is 961200.
The greatest common factor of 34/432,20/225,731/890 = [GCF of 34,20,731]/[LCM of 432,225,890]= 1/961200
Therefore, the GCF of 34/432,20/225,731/890 is 1/961200.
To find the highest common factor of 34,20,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 731 are 1, 17, 43, 731
The HCF of 34,20,731 is 1.
Lets's calculate GCF of 34,20,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,20,731 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 34,20,731 . The biggest common factor number is the GCF number.
So the greatest common factor 34,20,731 is 1.
Lets's calculate LCM of 432,225,890
| 2 | 432, 225, 890 |
| 3 | 216, 225, 445 |
| 3 | 72, 75, 445 |
| 5 | 24, 25, 445 |
| 24, 5, 89 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 24 x 5 x 89 = 961200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/961200
Therefore, the GCF of Fractions 34/432,20/225,731/890 is 1/961200
Least Common Multiple of 432,225,890 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 432,225,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,225,890) = 1
common factors(in case of two or more numbers have common factors) = 90
GCF(432,225,890) x common factors =1 x 90 = 90
LCM(432,225,890) = ( 432 × 225 × 890 ) / 90
LCM(432,225,890) = 86508000 / 90
LCM(432,225,890) = 961200
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FAQs on GCF of Fractions of 34/432, 20/225, 731/890
1. What is the HCF of 34,20,731?
The HCF of 34,20,731 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 34/432, 20/225, 731/890?
Answer: GCF of Numerators as per given numbers 34/432, 20/225, 731/890 is
GCF of Numerators i.e. for 34,20,731 is 1
LCM of denominators i.e. for 432,225,890 is 961200.
Thus, GCF of Fractions is 1/961200.Finally, GCF of Fractions for 34/432, 20/225, 731/890 is 1/961200.