GCF of 976/501, 2745/233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 976/501, 2745/233 i.e 61/116733 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/501, 2745/233.
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 976/501,2745/233?
Given fractions are 976/501,2745/233
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 976/501,2745/233, numerators are 976,2745
Denominators are 501,233
The GCF of 976,2745 is 61 .
LCM of 501,233 is 116733.
The greatest common factor of 976/501,2745/233 = [GCF of 976,2745]/[LCM of 501,233]= 61/116733
Therefore, the GCF of 976/501,2745/233 is 61/116733.
To find the highest common factor of 976,2745, we have to find the factors of both numbers and list the highest common factor.
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The factors of 2745 are 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745
The HCF of 976,2745 is 61.
Lets's calculate GCF of 976,2745
| 61 | 976, 2745 |
| 16, 45 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 976,2745 By Matching Biggest Common Factor Method
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Now, list down the factors of 2745
:1,3,5,9,15,45,61,183,305,549,915,2745
Greatest Common Factor
We found the factors 976,2745 . The biggest common factor number is the GCF number.
So the greatest common factor 976,2745 is 61.
Lets's calculate LCM of 501,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 116733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/116733
Therefore, the GCF of Fractions 976/501,2745/233 is 61/116733
Least Common Multiple of 501,233 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 501,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,233) x common factors =1 x 1 = 1
LCM(501,233) = ( 501 × 233 ) / 1
LCM(501,233) = 116733 / 1
LCM(501,233) = 116733
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FAQs on GCF of Fractions of 976/501, 2745/233
1. What is the HCF of 976,2745?
The HCF of 976,2745 is 61
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 976/501, 2745/233?
Answer: GCF of Numerators as per given numbers 976/501, 2745/233 is
GCF of Numerators i.e. for 976,2745 is 61
LCM of denominators i.e. for 501,233 is 116733.
Thus, GCF of Fractions is 61/116733.Finally, GCF of Fractions for 976/501, 2745/233 is 61/116733.