GCF of 2237/665, 1390/7581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2237/665, 1390/7581 i.e 1/37905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2237/665, 1390/7581.
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 2237/665,1390/7581?
Given fractions are 2237/665,1390/7581
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 2237/665,1390/7581, numerators are 2237,1390
Denominators are 665,7581
The GCF of 2237,1390 is 1 .
LCM of 665,7581 is 37905.
The greatest common factor of 2237/665,1390/7581 = [GCF of 2237,1390]/[LCM of 665,7581]= 1/37905
Therefore, the GCF of 2237/665,1390/7581 is 1/37905.
To find the highest common factor of 2237,1390, we have to find the factors of both numbers and list the highest common factor.
The factors of 2237 are 1, 2237
The factors of 1390 are 1, 2, 5, 10, 139, 278, 695, 1390
The HCF of 2237,1390 is 1.
Lets's calculate GCF of 2237,1390
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2237,1390 By Matching Biggest Common Factor Method
Now, list down the factors of 2237
:1,2237
Now, list down the factors of 1390
:1,2,5,10,139,278,695,1390
Greatest Common Factor
We found the factors 2237,1390 . The biggest common factor number is the GCF number.
So the greatest common factor 2237,1390 is 1.
Lets's calculate LCM of 665,7581
| 7 | 665, 7581 |
| 19 | 95, 1083 |
| 5, 57 |
∴ So the LCM of the given numbers is 7 x 19 x 5 x 57 = 37905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37905
Therefore, the GCF of Fractions 2237/665,1390/7581 is 1/37905
Least Common Multiple of 665,7581 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 665,7581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,7581) = 133
common factors(in case of two or more numbers have common factors) = 1
GCF(665,7581) x common factors =133 x 1 = 133
LCM(665,7581) = ( 665 × 7581 ) / 133
LCM(665,7581) = 5041365 / 133
LCM(665,7581) = 37905
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FAQs on GCF of Fractions of 2237/665, 1390/7581
1. What is the HCF of 2237,1390?
The HCF of 2237,1390 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 2237/665, 1390/7581?
Answer: GCF of Numerators as per given numbers 2237/665, 1390/7581 is
GCF of Numerators i.e. for 2237,1390 is 1
LCM of denominators i.e. for 665,7581 is 37905.
Thus, GCF of Fractions is 1/37905.Finally, GCF of Fractions for 2237/665, 1390/7581 is 1/37905.