GCF of 558/740, 1314/823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 558/740, 1314/823 i.e 18/609020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 558/740, 1314/823.
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 558/740,1314/823?
Given fractions are 558/740,1314/823
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 558/740,1314/823, numerators are 558,1314
Denominators are 740,823
The GCF of 558,1314 is 18 .
LCM of 740,823 is 609020.
The greatest common factor of 558/740,1314/823 = [GCF of 558,1314]/[LCM of 740,823]= 18/609020
Therefore, the GCF of 558/740,1314/823 is 18/609020.
To find the highest common factor of 558,1314, we have to find the factors of both numbers and list the highest common factor.
The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
The factors of 1314 are 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314
The HCF of 558,1314 is 18.
Lets's calculate GCF of 558,1314
| 2 | 558, 1314 |
| 3 | 279, 657 |
| 3 | 93, 219 |
| 31, 73 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 558,1314 By Matching Biggest Common Factor Method
Now, list down the factors of 558
:1,2,3,6,9,18,31,62,93,186,279,558
Now, list down the factors of 1314
:1,2,3,6,9,18,73,146,219,438,657,1314
Greatest Common Factor
We found the factors 558,1314 . The biggest common factor number is the GCF number.
So the greatest common factor 558,1314 is 18.
Lets's calculate LCM of 740,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 609020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/609020
Therefore, the GCF of Fractions 558/740,1314/823 is 18/609020
Least Common Multiple of 740,823 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 740,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,823) x common factors =1 x 1 = 1
LCM(740,823) = ( 740 × 823 ) / 1
LCM(740,823) = 609020 / 1
LCM(740,823) = 609020
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FAQs on GCF of Fractions of 558/740, 1314/823
1. What is the HCF of 558,1314?
The HCF of 558,1314 is 18
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 558/740, 1314/823?
Answer: GCF of Numerators as per given numbers 558/740, 1314/823 is
GCF of Numerators i.e. for 558,1314 is 18
LCM of denominators i.e. for 740,823 is 609020.
Thus, GCF of Fractions is 18/609020.Finally, GCF of Fractions for 558/740, 1314/823 is 18/609020.