GCF of 255/15, 680/377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 255/15, 680/377 i.e 85/5655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 255/15, 680/377.
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 255/15,680/377?
Given fractions are 255/15,680/377
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 255/15,680/377, numerators are 255,680
Denominators are 15,377
The GCF of 255,680 is 85 .
LCM of 15,377 is 5655.
The greatest common factor of 255/15,680/377 = [GCF of 255,680]/[LCM of 15,377]= 85/5655
Therefore, the GCF of 255/15,680/377 is 85/5655.
To find the highest common factor of 255,680, we have to find the factors of both numbers and list the highest common factor.
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
The HCF of 255,680 is 85.
Lets's calculate GCF of 255,680
| 5 | 255, 680 |
| 17 | 51, 136 |
| 3, 8 |
∴ So the GCF of the given numbers is 5 x 17 = 85
Greatest Common Factor of 255,680 By Matching Biggest Common Factor Method
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Now, list down the factors of 680
:1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 255,680 . The biggest common factor number is the GCF number.
So the greatest common factor 255,680 is 85.
Lets's calculate LCM of 15,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 5655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 85/5655
Therefore, the GCF of Fractions 255/15,680/377 is 85/5655
Least Common Multiple of 15,377 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 15,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,377) x common factors =1 x 1 = 1
LCM(15,377) = ( 15 × 377 ) / 1
LCM(15,377) = 5655 / 1
LCM(15,377) = 5655
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FAQs on GCF of Fractions of 255/15, 680/377
1. What is the HCF of 255,680?
The HCF of 255,680 is 85
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 255/15, 680/377?
Answer: GCF of Numerators as per given numbers 255/15, 680/377 is
GCF of Numerators i.e. for 255,680 is 85
LCM of denominators i.e. for 15,377 is 5655.
Thus, GCF of Fractions is 85/5655.Finally, GCF of Fractions for 255/15, 680/377 is 85/5655.