GCF of 929/866, 929/852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 929/866, 929/852 i.e 929/368916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 929/866, 929/852.
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 929/866,929/852?
Given fractions are 929/866,929/852
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 929/866,929/852, numerators are 929,929
Denominators are 866,852
The GCF of 929,929 is 929 .
LCM of 866,852 is 368916.
The greatest common factor of 929/866,929/852 = [GCF of 929,929]/[LCM of 866,852]= 929/368916
Therefore, the GCF of 929/866,929/852 is 929/368916.
To find the highest common factor of 929,929, we have to find the factors of both numbers and list the highest common factor.
The factors of 929 are 1, 929
The factors of 929 are 1, 929
The HCF of 929,929 is 929.
Lets's calculate GCF of 929,929
| 929 | 929, 929 |
| 1, 1 |
∴ So the GCF of the given numbers is 929 = 929
Greatest Common Factor of 929,929 By Matching Biggest Common Factor Method
Now, list down the factors of 929
:1,929
Now, list down the factors of 929
:1,929
Greatest Common Factor
We found the factors 929,929 . The biggest common factor number is the GCF number.
So the greatest common factor 929,929 is 929.
Lets's calculate LCM of 866,852
| 2 | 866, 852 |
| 433, 426 |
∴ So the LCM of the given numbers is 2 x 433 x 426 = 368916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 929/368916
Therefore, the GCF of Fractions 929/866,929/852 is 929/368916
Least Common Multiple of 866,852 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 866,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,852) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,852) x common factors =2 x 1 = 2
LCM(866,852) = ( 866 × 852 ) / 2
LCM(866,852) = 737832 / 2
LCM(866,852) = 368916
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FAQs on GCF of Fractions of 929/866, 929/852
1. What is the HCF of 929,929?
The HCF of 929,929 is 929
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 929/866, 929/852?
Answer: GCF of Numerators as per given numbers 929/866, 929/852 is
GCF of Numerators i.e. for 929,929 is 929
LCM of denominators i.e. for 866,852 is 368916.
Thus, GCF of Fractions is 929/368916.Finally, GCF of Fractions for 929/866, 929/852 is 929/368916.