GCF of 2/75, 80/58, 65/686, 958/447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2/75, 80/58, 65/686, 958/447 i.e 1/222315450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/75, 80/58, 65/686, 958/447.
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 2/75,80/58,65/686,958/447?
Given fractions are 2/75,80/58,65/686,958/447
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 2/75,80/58,65/686,958/447, numerators are 2,80,65,958
Denominators are 75,58,686,447
The GCF of 2,80,65,958 is 1 .
LCM of 75,58,686,447 is 222315450.
The greatest common factor of 2/75,80/58,65/686,958/447 = [GCF of 2,80,65,958]/[LCM of 75,58,686,447]= 1/222315450
Therefore, the GCF of 2/75,80/58,65/686,958/447 is 1/222315450.
To find the highest common factor of 2,80,65,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 2 are 1, 2
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 65 are 1, 5, 13, 65
The factors of 958 are 1, 2, 479, 958
The HCF of 2,80,65,958 is 1.
Lets's calculate GCF of 2,80,65,958
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2,80,65,958 By Matching Biggest Common Factor Method
Now, list down the factors of 2
:1,2
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 2,80,65,958 . The biggest common factor number is the GCF number.
So the greatest common factor 2,80,65,958 is 1.
Lets's calculate LCM of 75,58,686,447
| 2 | 75, 58, 686, 447 |
| 3 | 75, 29, 343, 447 |
| 25, 29, 343, 149 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 29 x 343 x 149 = 222315450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222315450
Therefore, the GCF of Fractions 2/75,80/58,65/686,958/447 is 1/222315450
Least Common Multiple of 75,58,686,447 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 75,58,686,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,58,686,447) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(75,58,686,447) x common factors =1 x 6 = 6
LCM(75,58,686,447) = ( 75 × 58 × 686 × 447 ) / 6
LCM(75,58,686,447) = 1333892700 / 6
LCM(75,58,686,447) = 222315450
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2/75, 80/58, 65/686, 958/447
1. What is the HCF of 2,80,65,958?
The HCF of 2,80,65,958 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 2/75, 80/58, 65/686, 958/447?
Answer: GCF of Numerators as per given numbers 2/75, 80/58, 65/686, 958/447 is
GCF of Numerators i.e. for 2,80,65,958 is 1
LCM of denominators i.e. for 75,58,686,447 is 222315450.
Thus, GCF of Fractions is 1/222315450.Finally, GCF of Fractions for 2/75, 80/58, 65/686, 958/447 is 1/222315450.