GCF of 7400/101, 1225/1940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7400/101, 1225/1940 i.e 25/195940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7400/101, 1225/1940.
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 7400/101,1225/1940?
Given fractions are 7400/101,1225/1940
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 7400/101,1225/1940, numerators are 7400,1225
Denominators are 101,1940
The GCF of 7400,1225 is 25 .
LCM of 101,1940 is 195940.
The greatest common factor of 7400/101,1225/1940 = [GCF of 7400,1225]/[LCM of 101,1940]= 25/195940
Therefore, the GCF of 7400/101,1225/1940 is 25/195940.
To find the highest common factor of 7400,1225, we have to find the factors of both numbers and list the highest common factor.
The factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400
The factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225
The HCF of 7400,1225 is 25.
Lets's calculate GCF of 7400,1225
| 5 | 7400, 1225 |
| 5 | 1480, 245 |
| 296, 49 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 7400,1225 By Matching Biggest Common Factor Method
Now, list down the factors of 7400
:1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400
Now, list down the factors of 1225
:1,5,7,25,35,49,175,245,1225
Greatest Common Factor
We found the factors 7400,1225 . The biggest common factor number is the GCF number.
So the greatest common factor 7400,1225 is 25.
Lets's calculate LCM of 101,1940
Given numbers has no common factors except 1. So, there LCM is their product i.e 195940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/195940
Therefore, the GCF of Fractions 7400/101,1225/1940 is 25/195940
Least Common Multiple of 101,1940 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 101,1940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,1940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,1940) x common factors =1 x 1 = 1
LCM(101,1940) = ( 101 × 1940 ) / 1
LCM(101,1940) = 195940 / 1
LCM(101,1940) = 195940
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FAQs on GCF of Fractions of 7400/101, 1225/1940
1. What is the HCF of 7400,1225?
The HCF of 7400,1225 is 25
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 7400/101, 1225/1940?
Answer: GCF of Numerators as per given numbers 7400/101, 1225/1940 is
GCF of Numerators i.e. for 7400,1225 is 25
LCM of denominators i.e. for 101,1940 is 195940.
Thus, GCF of Fractions is 25/195940.Finally, GCF of Fractions for 7400/101, 1225/1940 is 25/195940.