GCF of 1098/929, 7965/2142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1098/929, 7965/2142 i.e 9/1989918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1098/929, 7965/2142.
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 1098/929,7965/2142?
Given fractions are 1098/929,7965/2142
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 1098/929,7965/2142, numerators are 1098,7965
Denominators are 929,2142
The GCF of 1098,7965 is 9 .
LCM of 929,2142 is 1989918.
The greatest common factor of 1098/929,7965/2142 = [GCF of 1098,7965]/[LCM of 929,2142]= 9/1989918
Therefore, the GCF of 1098/929,7965/2142 is 9/1989918.
To find the highest common factor of 1098,7965, we have to find the factors of both numbers and list the highest common factor.
The factors of 1098 are 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098
The factors of 7965 are 1, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655, 7965
The HCF of 1098,7965 is 9.
Lets's calculate GCF of 1098,7965
| 3 | 1098, 7965 |
| 3 | 366, 2655 |
| 122, 885 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1098,7965 By Matching Biggest Common Factor Method
Now, list down the factors of 1098
:1,2,3,6,9,18,61,122,183,366,549,1098
Now, list down the factors of 7965
:1,3,5,9,15,27,45,59,135,177,295,531,885,1593,2655,7965
Greatest Common Factor
We found the factors 1098,7965 . The biggest common factor number is the GCF number.
So the greatest common factor 1098,7965 is 9.
Lets's calculate LCM of 929,2142
Given numbers has no common factors except 1. So, there LCM is their product i.e 1989918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1989918
Therefore, the GCF of Fractions 1098/929,7965/2142 is 9/1989918
Least Common Multiple of 929,2142 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 929,2142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,2142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,2142) x common factors =1 x 1 = 1
LCM(929,2142) = ( 929 × 2142 ) / 1
LCM(929,2142) = 1989918 / 1
LCM(929,2142) = 1989918
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FAQs on GCF of Fractions of 1098/929, 7965/2142
1. What is the HCF of 1098,7965?
The HCF of 1098,7965 is 9
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 1098/929, 7965/2142?
Answer: GCF of Numerators as per given numbers 1098/929, 7965/2142 is
GCF of Numerators i.e. for 1098,7965 is 9
LCM of denominators i.e. for 929,2142 is 1989918.
Thus, GCF of Fractions is 9/1989918.Finally, GCF of Fractions for 1098/929, 7965/2142 is 9/1989918.