GCF of 1939/766, 1586/485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1939/766, 1586/485 i.e 1/371510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1939/766, 1586/485.
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 1939/766,1586/485?
Given fractions are 1939/766,1586/485
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 1939/766,1586/485, numerators are 1939,1586
Denominators are 766,485
The GCF of 1939,1586 is 1 .
LCM of 766,485 is 371510.
The greatest common factor of 1939/766,1586/485 = [GCF of 1939,1586]/[LCM of 766,485]= 1/371510
Therefore, the GCF of 1939/766,1586/485 is 1/371510.
To find the highest common factor of 1939,1586, we have to find the factors of both numbers and list the highest common factor.
The factors of 1939 are 1, 7, 277, 1939
The factors of 1586 are 1, 2, 13, 26, 61, 122, 793, 1586
The HCF of 1939,1586 is 1.
Lets's calculate GCF of 1939,1586
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1939,1586 By Matching Biggest Common Factor Method
Now, list down the factors of 1939
:1,7,277,1939
Now, list down the factors of 1586
:1,2,13,26,61,122,793,1586
Greatest Common Factor
We found the factors 1939,1586 . The biggest common factor number is the GCF number.
So the greatest common factor 1939,1586 is 1.
Lets's calculate LCM of 766,485
Given numbers has no common factors except 1. So, there LCM is their product i.e 371510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371510
Therefore, the GCF of Fractions 1939/766,1586/485 is 1/371510
Least Common Multiple of 766,485 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 766,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(766,485) x common factors =1 x 1 = 1
LCM(766,485) = ( 766 × 485 ) / 1
LCM(766,485) = 371510 / 1
LCM(766,485) = 371510
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FAQs on GCF of Fractions of 1939/766, 1586/485
1. What is the HCF of 1939,1586?
The HCF of 1939,1586 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 1939/766, 1586/485?
Answer: GCF of Numerators as per given numbers 1939/766, 1586/485 is
GCF of Numerators i.e. for 1939,1586 is 1
LCM of denominators i.e. for 766,485 is 371510.
Thus, GCF of Fractions is 1/371510.Finally, GCF of Fractions for 1939/766, 1586/485 is 1/371510.