GCF of 9261/125, 1568/7388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9261/125, 1568/7388 i.e 49/923500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9261/125, 1568/7388.
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 9261/125,1568/7388?
Given fractions are 9261/125,1568/7388
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 9261/125,1568/7388, numerators are 9261,1568
Denominators are 125,7388
The GCF of 9261,1568 is 49 .
LCM of 125,7388 is 923500.
The greatest common factor of 9261/125,1568/7388 = [GCF of 9261,1568]/[LCM of 125,7388]= 49/923500
Therefore, the GCF of 9261/125,1568/7388 is 49/923500.
To find the highest common factor of 9261,1568, we have to find the factors of both numbers and list the highest common factor.
The factors of 9261 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261
The factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568
The HCF of 9261,1568 is 49.
Lets's calculate GCF of 9261,1568
| 7 | 9261, 1568 |
| 7 | 1323, 224 |
| 189, 32 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 9261,1568 By Matching Biggest Common Factor Method
Now, list down the factors of 9261
:1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261
Now, list down the factors of 1568
:1,2,4,7,8,14,16,28,32,49,56,98,112,196,224,392,784,1568
Greatest Common Factor
We found the factors 9261,1568 . The biggest common factor number is the GCF number.
So the greatest common factor 9261,1568 is 49.
Lets's calculate LCM of 125,7388
Given numbers has no common factors except 1. So, there LCM is their product i.e 923500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/923500
Therefore, the GCF of Fractions 9261/125,1568/7388 is 49/923500
Least Common Multiple of 125,7388 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 125,7388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,7388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,7388) x common factors =1 x 1 = 1
LCM(125,7388) = ( 125 × 7388 ) / 1
LCM(125,7388) = 923500 / 1
LCM(125,7388) = 923500
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FAQs on GCF of Fractions of 9261/125, 1568/7388
1. What is the HCF of 9261,1568?
The HCF of 9261,1568 is 49
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 9261/125, 1568/7388?
Answer: GCF of Numerators as per given numbers 9261/125, 1568/7388 is
GCF of Numerators i.e. for 9261,1568 is 49
LCM of denominators i.e. for 125,7388 is 923500.
Thus, GCF of Fractions is 49/923500.Finally, GCF of Fractions for 9261/125, 1568/7388 is 49/923500.