GCF of 3063/785, 1519/840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3063/785, 1519/840 i.e 1/131880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3063/785, 1519/840.
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 3063/785,1519/840?
Given fractions are 3063/785,1519/840
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 3063/785,1519/840, numerators are 3063,1519
Denominators are 785,840
The GCF of 3063,1519 is 1 .
LCM of 785,840 is 131880.
The greatest common factor of 3063/785,1519/840 = [GCF of 3063,1519]/[LCM of 785,840]= 1/131880
Therefore, the GCF of 3063/785,1519/840 is 1/131880.
To find the highest common factor of 3063,1519, we have to find the factors of both numbers and list the highest common factor.
The factors of 3063 are 1, 3, 1021, 3063
The factors of 1519 are 1, 7, 31, 49, 217, 1519
The HCF of 3063,1519 is 1.
Lets's calculate GCF of 3063,1519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3063,1519 By Matching Biggest Common Factor Method
Now, list down the factors of 3063
:1,3,1021,3063
Now, list down the factors of 1519
:1,7,31,49,217,1519
Greatest Common Factor
We found the factors 3063,1519 . The biggest common factor number is the GCF number.
So the greatest common factor 3063,1519 is 1.
Lets's calculate LCM of 785,840
| 5 | 785, 840 |
| 157, 168 |
∴ So the LCM of the given numbers is 5 x 157 x 168 = 131880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131880
Therefore, the GCF of Fractions 3063/785,1519/840 is 1/131880
Least Common Multiple of 785,840 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 785,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,840) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(785,840) x common factors =5 x 1 = 5
LCM(785,840) = ( 785 × 840 ) / 5
LCM(785,840) = 659400 / 5
LCM(785,840) = 131880
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FAQs on GCF of Fractions of 3063/785, 1519/840
1. What is the HCF of 3063,1519?
The HCF of 3063,1519 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 3063/785, 1519/840?
Answer: GCF of Numerators as per given numbers 3063/785, 1519/840 is
GCF of Numerators i.e. for 3063,1519 is 1
LCM of denominators i.e. for 785,840 is 131880.
Thus, GCF of Fractions is 1/131880.Finally, GCF of Fractions for 3063/785, 1519/840 is 1/131880.