GCF of 9243/231, 1570/1211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9243/231, 1570/1211 i.e 1/39963 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9243/231, 1570/1211.
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 9243/231,1570/1211?
Given fractions are 9243/231,1570/1211
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 9243/231,1570/1211, numerators are 9243,1570
Denominators are 231,1211
The GCF of 9243,1570 is 1 .
LCM of 231,1211 is 39963.
The greatest common factor of 9243/231,1570/1211 = [GCF of 9243,1570]/[LCM of 231,1211]= 1/39963
Therefore, the GCF of 9243/231,1570/1211 is 1/39963.
To find the highest common factor of 9243,1570, we have to find the factors of both numbers and list the highest common factor.
The factors of 9243 are 1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243
The factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570
The HCF of 9243,1570 is 1.
Lets's calculate GCF of 9243,1570
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9243,1570 By Matching Biggest Common Factor Method
Now, list down the factors of 9243
:1,3,9,13,39,79,117,237,711,1027,3081,9243
Now, list down the factors of 1570
:1,2,5,10,157,314,785,1570
Greatest Common Factor
We found the factors 9243,1570 . The biggest common factor number is the GCF number.
So the greatest common factor 9243,1570 is 1.
Lets's calculate LCM of 231,1211
| 7 | 231, 1211 |
| 33, 173 |
∴ So the LCM of the given numbers is 7 x 33 x 173 = 39963
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39963
Therefore, the GCF of Fractions 9243/231,1570/1211 is 1/39963
Least Common Multiple of 231,1211 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 231,1211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,1211) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(231,1211) x common factors =7 x 1 = 7
LCM(231,1211) = ( 231 × 1211 ) / 7
LCM(231,1211) = 279741 / 7
LCM(231,1211) = 39963
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FAQs on GCF of Fractions of 9243/231, 1570/1211
1. What is the HCF of 9243,1570?
The HCF of 9243,1570 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 9243/231, 1570/1211?
Answer: GCF of Numerators as per given numbers 9243/231, 1570/1211 is
GCF of Numerators i.e. for 9243,1570 is 1
LCM of denominators i.e. for 231,1211 is 39963.
Thus, GCF of Fractions is 1/39963.Finally, GCF of Fractions for 9243/231, 1570/1211 is 1/39963.