GCF of 505/312, 381/770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 505/312, 381/770 i.e 1/120120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 505/312, 381/770.
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 505/312,381/770?
Given fractions are 505/312,381/770
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 505/312,381/770, numerators are 505,381
Denominators are 312,770
The GCF of 505,381 is 1 .
LCM of 312,770 is 120120.
The greatest common factor of 505/312,381/770 = [GCF of 505,381]/[LCM of 312,770]= 1/120120
Therefore, the GCF of 505/312,381/770 is 1/120120.
To find the highest common factor of 505,381, we have to find the factors of both numbers and list the highest common factor.
The factors of 505 are 1, 5, 101, 505
The factors of 381 are 1, 3, 127, 381
The HCF of 505,381 is 1.
Lets's calculate GCF of 505,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 505,381 By Matching Biggest Common Factor Method
Now, list down the factors of 505
:1,5,101,505
Now, list down the factors of 381
:1,3,127,381
Greatest Common Factor
We found the factors 505,381 . The biggest common factor number is the GCF number.
So the greatest common factor 505,381 is 1.
Lets's calculate LCM of 312,770
| 2 | 312, 770 |
| 156, 385 |
∴ So the LCM of the given numbers is 2 x 156 x 385 = 120120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120120
Therefore, the GCF of Fractions 505/312,381/770 is 1/120120
Least Common Multiple of 312,770 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 312,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,770) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(312,770) x common factors =2 x 1 = 2
LCM(312,770) = ( 312 × 770 ) / 2
LCM(312,770) = 240240 / 2
LCM(312,770) = 120120
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FAQs on GCF of Fractions of 505/312, 381/770
1. What is the HCF of 505,381?
The HCF of 505,381 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 505/312, 381/770?
Answer: GCF of Numerators as per given numbers 505/312, 381/770 is
GCF of Numerators i.e. for 505,381 is 1
LCM of denominators i.e. for 312,770 is 120120.
Thus, GCF of Fractions is 1/120120.Finally, GCF of Fractions for 505/312, 381/770 is 1/120120.