GCF of 60/95, 65/61, 854/378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 60/95, 65/61, 854/378 i.e 1/2190510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/95, 65/61, 854/378.
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 60/95,65/61,854/378?
Given fractions are 60/95,65/61,854/378
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 60/95,65/61,854/378, numerators are 60,65,854
Denominators are 95,61,378
The GCF of 60,65,854 is 1 .
LCM of 95,61,378 is 2190510.
The greatest common factor of 60/95,65/61,854/378 = [GCF of 60,65,854]/[LCM of 95,61,378]= 1/2190510
Therefore, the GCF of 60/95,65/61,854/378 is 1/2190510.
To find the highest common factor of 60,65,854, we have to find the factors of both numbers and list the highest common factor.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 65 are 1, 5, 13, 65
The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854
The HCF of 60,65,854 is 1.
Lets's calculate GCF of 60,65,854
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 60,65,854 By Matching Biggest Common Factor Method
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 854
:1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 60,65,854 . The biggest common factor number is the GCF number.
So the greatest common factor 60,65,854 is 1.
Lets's calculate LCM of 95,61,378
Given numbers has no common factors except 1. So, there LCM is their product i.e 2190510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2190510
Therefore, the GCF of Fractions 60/95,65/61,854/378 is 1/2190510
Least Common Multiple of 95,61,378 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 95,61,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,61,378) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,61,378) x common factors =1 x 1 = 1
LCM(95,61,378) = ( 95 × 61 × 378 ) / 1
LCM(95,61,378) = 2190510 / 1
LCM(95,61,378) = 2190510
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FAQs on GCF of Fractions of 60/95, 65/61, 854/378
1. What is the HCF of 60,65,854?
The HCF of 60,65,854 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 60/95, 65/61, 854/378?
Answer: GCF of Numerators as per given numbers 60/95, 65/61, 854/378 is
GCF of Numerators i.e. for 60,65,854 is 1
LCM of denominators i.e. for 95,61,378 is 2190510.
Thus, GCF of Fractions is 1/2190510.Finally, GCF of Fractions for 60/95, 65/61, 854/378 is 1/2190510.