Use our free GCF of Fractions Calculator tool to compute the GCF of 1950/292, 9200/5343 i.e 50/1560156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1950/292, 9200/5343.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1950/292,9200/5343
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 1950/292,9200/5343, numerators are 1950,9200
Denominators are 292,5343
The GCF of 1950,9200 is 50 .
LCM of 292,5343 is 1560156.
The greatest common factor of 1950/292,9200/5343 = [GCF of 1950,9200]/[LCM of 292,5343]= 50/1560156
Therefore, the GCF of 1950/292,9200/5343 is 50/1560156.
To find the highest common factor of 1950,9200, we have to find the factors of both numbers and list the highest common factor.
The factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950
The factors of 9200 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100, 115, 184, 200, 230, 368, 400, 460, 575, 920, 1150, 1840, 2300, 4600, 9200
The HCF of 1950,9200 is 50.
Lets's calculate GCF of 1950,9200
2 | 1950, 9200 |
5 | 975, 4600 |
5 | 195, 920 |
39, 184 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Now, list down the factors of 1950
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950
Now, list down the factors of 9200
:1,2,4,5,8,10,16,20,23,25,40,46,50,80,92,100,115,184,200,230,368,400,460,575,920,1150,1840,2300,4600,9200
Greatest Common Factor
We found the factors 1950,9200 . The biggest common factor number is the GCF number.
So the greatest common factor 1950,9200 is 50.
Lets's calculate LCM of 292,5343
Given numbers has no common factors except 1. So, there LCM is their product i.e 1560156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/1560156
Therefore, the GCF of Fractions 1950/292,9200/5343 is 50/1560156
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 292,5343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,5343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,5343) x common factors =1 x 1 = 1
LCM(292,5343) = ( 292 × 5343 ) / 1
LCM(292,5343) = 1560156 / 1
LCM(292,5343) = 1560156
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1950,9200?
The HCF of 1950,9200 is 50
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 1950/292, 9200/5343?
Answer: GCF of Numerators as per given numbers 1950/292, 9200/5343 is
GCF of Numerators i.e. for 1950,9200 is 50
LCM of denominators i.e. for 292,5343 is 1560156.
Thus, GCF of Fractions is 50/1560156.Finally, GCF of Fractions for 1950/292, 9200/5343 is 50/1560156.