GCF of 155/686, 405/770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 155/686, 405/770 i.e 5/37730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/686, 405/770.
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 155/686,405/770?
Given fractions are 155/686,405/770
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 155/686,405/770, numerators are 155,405
Denominators are 686,770
The GCF of 155,405 is 5 .
LCM of 686,770 is 37730.
The greatest common factor of 155/686,405/770 = [GCF of 155,405]/[LCM of 686,770]= 5/37730
Therefore, the GCF of 155/686,405/770 is 5/37730.
To find the highest common factor of 155,405, we have to find the factors of both numbers and list the highest common factor.
The factors of 155 are 1, 5, 31, 155
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 155,405 is 5.
Lets's calculate GCF of 155,405
| 5 | 155, 405 |
| 31, 81 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 155,405 By Matching Biggest Common Factor Method
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 155,405 . The biggest common factor number is the GCF number.
So the greatest common factor 155,405 is 5.
Lets's calculate LCM of 686,770
| 2 | 686, 770 |
| 7 | 343, 385 |
| 49, 55 |
∴ So the LCM of the given numbers is 2 x 7 x 49 x 55 = 37730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/37730
Therefore, the GCF of Fractions 155/686,405/770 is 5/37730
Least Common Multiple of 686,770 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 686,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,770) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(686,770) x common factors =14 x 1 = 14
LCM(686,770) = ( 686 × 770 ) / 14
LCM(686,770) = 528220 / 14
LCM(686,770) = 37730
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FAQs on GCF of Fractions of 155/686, 405/770
1. What is the HCF of 155,405?
The HCF of 155,405 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 155/686, 405/770?
Answer: GCF of Numerators as per given numbers 155/686, 405/770 is
GCF of Numerators i.e. for 155,405 is 5
LCM of denominators i.e. for 686,770 is 37730.
Thus, GCF of Fractions is 5/37730.Finally, GCF of Fractions for 155/686, 405/770 is 5/37730.