GCF of 95/63, 255/85, 240/618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/63, 255/85, 240/618 i.e 5/1103130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/63, 255/85, 240/618.
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 95/63,255/85,240/618?
Given fractions are 95/63,255/85,240/618
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 95/63,255/85,240/618, numerators are 95,255,240
Denominators are 63,85,618
The GCF of 95,255,240 is 5 .
LCM of 63,85,618 is 1103130.
The greatest common factor of 95/63,255/85,240/618 = [GCF of 95,255,240]/[LCM of 63,85,618]= 5/1103130
Therefore, the GCF of 95/63,255/85,240/618 is 5/1103130.
To find the highest common factor of 95,255,240, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
The HCF of 95,255,240 is 5.
Lets's calculate GCF of 95,255,240
| 5 | 95, 255, 240 |
| 19, 51, 48 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 95,255,240 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Now, list down the factors of 240
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Greatest Common Factor
We found the factors 95,255,240 . The biggest common factor number is the GCF number.
So the greatest common factor 95,255,240 is 5.
Lets's calculate LCM of 63,85,618
| 3 | 63, 85, 618 |
| 21, 85, 206 |
∴ So the LCM of the given numbers is 3 x 21 x 85 x 206 = 1103130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1103130
Therefore, the GCF of Fractions 95/63,255/85,240/618 is 5/1103130
Least Common Multiple of 63,85,618 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 63,85,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,85,618) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(63,85,618) x common factors =1 x 3 = 3
LCM(63,85,618) = ( 63 × 85 × 618 ) / 3
LCM(63,85,618) = 3309390 / 3
LCM(63,85,618) = 1103130
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FAQs on GCF of Fractions of 95/63, 255/85, 240/618
1. What is the HCF of 95,255,240?
The HCF of 95,255,240 is 5
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 95/63, 255/85, 240/618?
Answer: GCF of Numerators as per given numbers 95/63, 255/85, 240/618 is
GCF of Numerators i.e. for 95,255,240 is 5
LCM of denominators i.e. for 63,85,618 is 1103130.
Thus, GCF of Fractions is 5/1103130.Finally, GCF of Fractions for 95/63, 255/85, 240/618 is 5/1103130.