GCF of 4855/780, 3130/1913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4855/780, 3130/1913 i.e 5/1492140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4855/780, 3130/1913.
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 4855/780,3130/1913?
Given fractions are 4855/780,3130/1913
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 4855/780,3130/1913, numerators are 4855,3130
Denominators are 780,1913
The GCF of 4855,3130 is 5 .
LCM of 780,1913 is 1492140.
The greatest common factor of 4855/780,3130/1913 = [GCF of 4855,3130]/[LCM of 780,1913]= 5/1492140
Therefore, the GCF of 4855/780,3130/1913 is 5/1492140.
To find the highest common factor of 4855,3130, we have to find the factors of both numbers and list the highest common factor.
The factors of 4855 are 1, 5, 971, 4855
The factors of 3130 are 1, 2, 5, 10, 313, 626, 1565, 3130
The HCF of 4855,3130 is 5.
Lets's calculate GCF of 4855,3130
| 5 | 4855, 3130 |
| 971, 626 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4855,3130 By Matching Biggest Common Factor Method
Now, list down the factors of 4855
:1,5,971,4855
Now, list down the factors of 3130
:1,2,5,10,313,626,1565,3130
Greatest Common Factor
We found the factors 4855,3130 . The biggest common factor number is the GCF number.
So the greatest common factor 4855,3130 is 5.
Lets's calculate LCM of 780,1913
Given numbers has no common factors except 1. So, there LCM is their product i.e 1492140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1492140
Therefore, the GCF of Fractions 4855/780,3130/1913 is 5/1492140
Least Common Multiple of 780,1913 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 780,1913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,1913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(780,1913) x common factors =1 x 1 = 1
LCM(780,1913) = ( 780 × 1913 ) / 1
LCM(780,1913) = 1492140 / 1
LCM(780,1913) = 1492140
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FAQs on GCF of Fractions of 4855/780, 3130/1913
1. What is the HCF of 4855,3130?
The HCF of 4855,3130 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 4855/780, 3130/1913?
Answer: GCF of Numerators as per given numbers 4855/780, 3130/1913 is
GCF of Numerators i.e. for 4855,3130 is 5
LCM of denominators i.e. for 780,1913 is 1492140.
Thus, GCF of Fractions is 5/1492140.Finally, GCF of Fractions for 4855/780, 3130/1913 is 5/1492140.