GCF of 2197/450, 7502/9240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2197/450, 7502/9240 i.e 1/138600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2197/450, 7502/9240.
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 2197/450,7502/9240?
Given fractions are 2197/450,7502/9240
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 2197/450,7502/9240, numerators are 2197,7502
Denominators are 450,9240
The GCF of 2197,7502 is 1 .
LCM of 450,9240 is 138600.
The greatest common factor of 2197/450,7502/9240 = [GCF of 2197,7502]/[LCM of 450,9240]= 1/138600
Therefore, the GCF of 2197/450,7502/9240 is 1/138600.
To find the highest common factor of 2197,7502, we have to find the factors of both numbers and list the highest common factor.
The factors of 2197 are 1, 13, 169, 2197
The factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502
The HCF of 2197,7502 is 1.
Lets's calculate GCF of 2197,7502
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2197,7502 By Matching Biggest Common Factor Method
Now, list down the factors of 2197
:1,13,169,2197
Now, list down the factors of 7502
:1,2,11,22,31,62,121,242,341,682,3751,7502
Greatest Common Factor
We found the factors 2197,7502 . The biggest common factor number is the GCF number.
So the greatest common factor 2197,7502 is 1.
Lets's calculate LCM of 450,9240
| 2 | 450, 9240 |
| 3 | 225, 4620 |
| 5 | 75, 1540 |
| 15, 308 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 15 x 308 = 138600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138600
Therefore, the GCF of Fractions 2197/450,7502/9240 is 1/138600
Least Common Multiple of 450,9240 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 450,9240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,9240) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(450,9240) x common factors =30 x 1 = 30
LCM(450,9240) = ( 450 × 9240 ) / 30
LCM(450,9240) = 4158000 / 30
LCM(450,9240) = 138600
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FAQs on GCF of Fractions of 2197/450, 7502/9240
1. What is the HCF of 2197,7502?
The HCF of 2197,7502 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 2197/450, 7502/9240?
Answer: GCF of Numerators as per given numbers 2197/450, 7502/9240 is
GCF of Numerators i.e. for 2197,7502 is 1
LCM of denominators i.e. for 450,9240 is 138600.
Thus, GCF of Fractions is 1/138600.Finally, GCF of Fractions for 2197/450, 7502/9240 is 1/138600.