GCF of 1939/635, 6000/1685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1939/635, 6000/1685 i.e 1/213995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1939/635, 6000/1685.
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 1939/635,6000/1685?
Given fractions are 1939/635,6000/1685
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 1939/635,6000/1685, numerators are 1939,6000
Denominators are 635,1685
The GCF of 1939,6000 is 1 .
LCM of 635,1685 is 213995.
The greatest common factor of 1939/635,6000/1685 = [GCF of 1939,6000]/[LCM of 635,1685]= 1/213995
Therefore, the GCF of 1939/635,6000/1685 is 1/213995.
To find the highest common factor of 1939,6000, 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 6000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000
The HCF of 1939,6000 is 1.
Lets's calculate GCF of 1939,6000
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1939,6000 By Matching Biggest Common Factor Method
Now, list down the factors of 1939
:1,7,277,1939
Now, list down the factors of 6000
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,750,1000,1200,1500,2000,3000,6000
Greatest Common Factor
We found the factors 1939,6000 . The biggest common factor number is the GCF number.
So the greatest common factor 1939,6000 is 1.
Lets's calculate LCM of 635,1685
| 5 | 635, 1685 |
| 127, 337 |
∴ So the LCM of the given numbers is 5 x 127 x 337 = 213995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213995
Therefore, the GCF of Fractions 1939/635,6000/1685 is 1/213995
Least Common Multiple of 635,1685 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 635,1685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,1685) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(635,1685) x common factors =5 x 1 = 5
LCM(635,1685) = ( 635 × 1685 ) / 5
LCM(635,1685) = 1069975 / 5
LCM(635,1685) = 213995
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FAQs on GCF of Fractions of 1939/635, 6000/1685
1. What is the HCF of 1939,6000?
The HCF of 1939,6000 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 1939/635, 6000/1685?
Answer: GCF of Numerators as per given numbers 1939/635, 6000/1685 is
GCF of Numerators i.e. for 1939,6000 is 1
LCM of denominators i.e. for 635,1685 is 213995.
Thus, GCF of Fractions is 1/213995.Finally, GCF of Fractions for 1939/635, 6000/1685 is 1/213995.