GCF of 929/89, 911/1178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 929/89, 911/1178 i.e 1/104842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 929/89, 911/1178.
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 929/89,911/1178?
Given fractions are 929/89,911/1178
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 929/89,911/1178, numerators are 929,911
Denominators are 89,1178
The GCF of 929,911 is 1 .
LCM of 89,1178 is 104842.
The greatest common factor of 929/89,911/1178 = [GCF of 929,911]/[LCM of 89,1178]= 1/104842
Therefore, the GCF of 929/89,911/1178 is 1/104842.
To find the highest common factor of 929,911, 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 911 are 1, 911
The HCF of 929,911 is 1.
Lets's calculate GCF of 929,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 929,911 By Matching Biggest Common Factor Method
Now, list down the factors of 929
:1,929
Now, list down the factors of 911
:1,911
Greatest Common Factor
We found the factors 929,911 . The biggest common factor number is the GCF number.
So the greatest common factor 929,911 is 1.
Lets's calculate LCM of 89,1178
Given numbers has no common factors except 1. So, there LCM is their product i.e 104842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104842
Therefore, the GCF of Fractions 929/89,911/1178 is 1/104842
Least Common Multiple of 89,1178 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 89,1178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,1178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,1178) x common factors =1 x 1 = 1
LCM(89,1178) = ( 89 × 1178 ) / 1
LCM(89,1178) = 104842 / 1
LCM(89,1178) = 104842
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FAQs on GCF of Fractions of 929/89, 911/1178
1. What is the HCF of 929,911?
The HCF of 929,911 is 1
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 929/89, 911/1178?
Answer: GCF of Numerators as per given numbers 929/89, 911/1178 is
GCF of Numerators i.e. for 929,911 is 1
LCM of denominators i.e. for 89,1178 is 104842.
Thus, GCF of Fractions is 1/104842.Finally, GCF of Fractions for 929/89, 911/1178 is 1/104842.