GCF of 996/923, 2780/712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 996/923, 2780/712 i.e 4/657176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/923, 2780/712.
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 996/923,2780/712?
Given fractions are 996/923,2780/712
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 996/923,2780/712, numerators are 996,2780
Denominators are 923,712
The GCF of 996,2780 is 4 .
LCM of 923,712 is 657176.
The greatest common factor of 996/923,2780/712 = [GCF of 996,2780]/[LCM of 923,712]= 4/657176
Therefore, the GCF of 996/923,2780/712 is 4/657176.
To find the highest common factor of 996,2780, we have to find the factors of both numbers and list the highest common factor.
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
The factors of 2780 are 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390, 2780
The HCF of 996,2780 is 4.
Lets's calculate GCF of 996,2780
| 2 | 996, 2780 |
| 2 | 498, 1390 |
| 249, 695 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 996,2780 By Matching Biggest Common Factor Method
Now, list down the factors of 996
:1,2,3,4,6,12,83,166,249,332,498,996
Now, list down the factors of 2780
:1,2,4,5,10,20,139,278,556,695,1390,2780
Greatest Common Factor
We found the factors 996,2780 . The biggest common factor number is the GCF number.
So the greatest common factor 996,2780 is 4.
Lets's calculate LCM of 923,712
Given numbers has no common factors except 1. So, there LCM is their product i.e 657176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/657176
Therefore, the GCF of Fractions 996/923,2780/712 is 4/657176
Least Common Multiple of 923,712 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 923,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,712) x common factors =1 x 1 = 1
LCM(923,712) = ( 923 × 712 ) / 1
LCM(923,712) = 657176 / 1
LCM(923,712) = 657176
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FAQs on GCF of Fractions of 996/923, 2780/712
1. What is the HCF of 996,2780?
The HCF of 996,2780 is 4
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 996/923, 2780/712?
Answer: GCF of Numerators as per given numbers 996/923, 2780/712 is
GCF of Numerators i.e. for 996,2780 is 4
LCM of denominators i.e. for 923,712 is 657176.
Thus, GCF of Fractions is 4/657176.Finally, GCF of Fractions for 996/923, 2780/712 is 4/657176.