GCF of 1118/538, 1089/984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1118/538, 1089/984 i.e 1/264696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1118/538, 1089/984.
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 1118/538,1089/984?
Given fractions are 1118/538,1089/984
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 1118/538,1089/984, numerators are 1118,1089
Denominators are 538,984
The GCF of 1118,1089 is 1 .
LCM of 538,984 is 264696.
The greatest common factor of 1118/538,1089/984 = [GCF of 1118,1089]/[LCM of 538,984]= 1/264696
Therefore, the GCF of 1118/538,1089/984 is 1/264696.
To find the highest common factor of 1118,1089, we have to find the factors of both numbers and list the highest common factor.
The factors of 1118 are 1, 2, 13, 26, 43, 86, 559, 1118
The factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089
The HCF of 1118,1089 is 1.
Lets's calculate GCF of 1118,1089
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1118,1089 By Matching Biggest Common Factor Method
Now, list down the factors of 1118
:1,2,13,26,43,86,559,1118
Now, list down the factors of 1089
:1,3,9,11,33,99,121,363,1089
Greatest Common Factor
We found the factors 1118,1089 . The biggest common factor number is the GCF number.
So the greatest common factor 1118,1089 is 1.
Lets's calculate LCM of 538,984
| 2 | 538, 984 |
| 269, 492 |
∴ So the LCM of the given numbers is 2 x 269 x 492 = 264696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264696
Therefore, the GCF of Fractions 1118/538,1089/984 is 1/264696
Least Common Multiple of 538,984 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 538,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,984) x common factors =2 x 1 = 2
LCM(538,984) = ( 538 × 984 ) / 2
LCM(538,984) = 529392 / 2
LCM(538,984) = 264696
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FAQs on GCF of Fractions of 1118/538, 1089/984
1. What is the HCF of 1118,1089?
The HCF of 1118,1089 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 1118/538, 1089/984?
Answer: GCF of Numerators as per given numbers 1118/538, 1089/984 is
GCF of Numerators i.e. for 1118,1089 is 1
LCM of denominators i.e. for 538,984 is 264696.
Thus, GCF of Fractions is 1/264696.Finally, GCF of Fractions for 1118/538, 1089/984 is 1/264696.