GCF of 1900/837, 2250/5401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1900/837, 2250/5401 i.e 50/4520637 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1900/837, 2250/5401.
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 1900/837,2250/5401?
Given fractions are 1900/837,2250/5401
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 1900/837,2250/5401, numerators are 1900,2250
Denominators are 837,5401
The GCF of 1900,2250 is 50 .
LCM of 837,5401 is 4520637.
The greatest common factor of 1900/837,2250/5401 = [GCF of 1900,2250]/[LCM of 837,5401]= 50/4520637
Therefore, the GCF of 1900/837,2250/5401 is 50/4520637.
To find the highest common factor of 1900,2250, we have to find the factors of both numbers and list the highest common factor.
The factors of 1900 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 190, 380, 475, 950, 1900
The factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250
The HCF of 1900,2250 is 50.
Lets's calculate GCF of 1900,2250
| 2 | 1900, 2250 |
| 5 | 950, 1125 |
| 5 | 190, 225 |
| 38, 45 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 1900,2250 By Matching Biggest Common Factor Method
Now, list down the factors of 1900
:1,2,4,5,10,19,20,25,38,50,76,95,100,190,380,475,950,1900
Now, list down the factors of 2250
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,125,150,225,250,375,450,750,1125,2250
Greatest Common Factor
We found the factors 1900,2250 . The biggest common factor number is the GCF number.
So the greatest common factor 1900,2250 is 50.
Lets's calculate LCM of 837,5401
Given numbers has no common factors except 1. So, there LCM is their product i.e 4520637
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/4520637
Therefore, the GCF of Fractions 1900/837,2250/5401 is 50/4520637
Least Common Multiple of 837,5401 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 837,5401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,5401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,5401) x common factors =1 x 1 = 1
LCM(837,5401) = ( 837 × 5401 ) / 1
LCM(837,5401) = 4520637 / 1
LCM(837,5401) = 4520637
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FAQs on GCF of Fractions of 1900/837, 2250/5401
1. What is the HCF of 1900,2250?
The HCF of 1900,2250 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 1900/837, 2250/5401?
Answer: GCF of Numerators as per given numbers 1900/837, 2250/5401 is
GCF of Numerators i.e. for 1900,2250 is 50
LCM of denominators i.e. for 837,5401 is 4520637.
Thus, GCF of Fractions is 50/4520637.Finally, GCF of Fractions for 1900/837, 2250/5401 is 50/4520637.