GCF of 3/59, 9/90, 8/65, 25/546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3/59, 9/90, 8/65, 25/546 i.e 1/483210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/59, 9/90, 8/65, 25/546.
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 3/59,9/90,8/65,25/546?
Given fractions are 3/59,9/90,8/65,25/546
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 3/59,9/90,8/65,25/546, numerators are 3,9,8,25
Denominators are 59,90,65,546
The GCF of 3,9,8,25 is 1 .
LCM of 59,90,65,546 is 483210.
The greatest common factor of 3/59,9/90,8/65,25/546 = [GCF of 3,9,8,25]/[LCM of 59,90,65,546]= 1/483210
Therefore, the GCF of 3/59,9/90,8/65,25/546 is 1/483210.
To find the highest common factor of 3,9,8,25, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 9 are 1, 3, 9
The factors of 8 are 1, 2, 4, 8
The factors of 25 are 1, 5, 25
The HCF of 3,9,8,25 is 1.
Lets's calculate GCF of 3,9,8,25
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3,9,8,25 By Matching Biggest Common Factor Method
Now, list down the factors of 3
:1,3
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 25
:1,5,25
Greatest Common Factor
We found the factors 3,9,8,25 . The biggest common factor number is the GCF number.
So the greatest common factor 3,9,8,25 is 1.
Lets's calculate LCM of 59,90,65,546
| 2 | 59, 90, 65, 546 |
| 3 | 59, 45, 65, 273 |
| 5 | 59, 15, 65, 91 |
| 13 | 59, 3, 13, 91 |
| 59, 3, 1, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 59 x 3 x 1 x 7 = 483210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/483210
Therefore, the GCF of Fractions 3/59,9/90,8/65,25/546 is 1/483210
Least Common Multiple of 59,90,65,546 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 59,90,65,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,90,65,546) = 1
common factors(in case of two or more numbers have common factors) = 390
GCF(59,90,65,546) x common factors =1 x 390 = 390
LCM(59,90,65,546) = ( 59 × 90 × 65 × 546 ) / 390
LCM(59,90,65,546) = 188451900 / 390
LCM(59,90,65,546) = 483210
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3/59, 9/90, 8/65, 25/546
1. What is the HCF of 3,9,8,25?
The HCF of 3,9,8,25 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 3/59, 9/90, 8/65, 25/546?
Answer: GCF of Numerators as per given numbers 3/59, 9/90, 8/65, 25/546 is
GCF of Numerators i.e. for 3,9,8,25 is 1
LCM of denominators i.e. for 59,90,65,546 is 483210.
Thus, GCF of Fractions is 1/483210.Finally, GCF of Fractions for 3/59, 9/90, 8/65, 25/546 is 1/483210.