GCF of 4681/226, 7161/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4681/226, 7161/740 i.e 31/83620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4681/226, 7161/740.
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 4681/226,7161/740?
Given fractions are 4681/226,7161/740
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 4681/226,7161/740, numerators are 4681,7161
Denominators are 226,740
The GCF of 4681,7161 is 31 .
LCM of 226,740 is 83620.
The greatest common factor of 4681/226,7161/740 = [GCF of 4681,7161]/[LCM of 226,740]= 31/83620
Therefore, the GCF of 4681/226,7161/740 is 31/83620.
To find the highest common factor of 4681,7161, we have to find the factors of both numbers and list the highest common factor.
The factors of 4681 are 1, 31, 151, 4681
The factors of 7161 are 1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161
The HCF of 4681,7161 is 31.
Lets's calculate GCF of 4681,7161
| 31 | 4681, 7161 |
| 151, 231 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 4681,7161 By Matching Biggest Common Factor Method
Now, list down the factors of 4681
:1,31,151,4681
Now, list down the factors of 7161
:1,3,7,11,21,31,33,77,93,217,231,341,651,1023,2387,7161
Greatest Common Factor
We found the factors 4681,7161 . The biggest common factor number is the GCF number.
So the greatest common factor 4681,7161 is 31.
Lets's calculate LCM of 226,740
| 2 | 226, 740 |
| 113, 370 |
∴ So the LCM of the given numbers is 2 x 113 x 370 = 83620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/83620
Therefore, the GCF of Fractions 4681/226,7161/740 is 31/83620
Least Common Multiple of 226,740 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 226,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,740) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,740) x common factors =2 x 1 = 2
LCM(226,740) = ( 226 × 740 ) / 2
LCM(226,740) = 167240 / 2
LCM(226,740) = 83620
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FAQs on GCF of Fractions of 4681/226, 7161/740
1. What is the HCF of 4681,7161?
The HCF of 4681,7161 is 31
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 4681/226, 7161/740?
Answer: GCF of Numerators as per given numbers 4681/226, 7161/740 is
GCF of Numerators i.e. for 4681,7161 is 31
LCM of denominators i.e. for 226,740 is 83620.
Thus, GCF of Fractions is 31/83620.Finally, GCF of Fractions for 4681/226, 7161/740 is 31/83620.