GCF of 8058/438, 3123/6812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8058/438, 3123/6812 i.e 3/1491828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8058/438, 3123/6812.
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 8058/438,3123/6812?
Given fractions are 8058/438,3123/6812
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 8058/438,3123/6812, numerators are 8058,3123
Denominators are 438,6812
The GCF of 8058,3123 is 3 .
LCM of 438,6812 is 1491828.
The greatest common factor of 8058/438,3123/6812 = [GCF of 8058,3123]/[LCM of 438,6812]= 3/1491828
Therefore, the GCF of 8058/438,3123/6812 is 3/1491828.
To find the highest common factor of 8058,3123, we have to find the factors of both numbers and list the highest common factor.
The factors of 8058 are 1, 2, 3, 6, 17, 34, 51, 79, 102, 158, 237, 474, 1343, 2686, 4029, 8058
The factors of 3123 are 1, 3, 9, 347, 1041, 3123
The HCF of 8058,3123 is 3.
Lets's calculate GCF of 8058,3123
| 3 | 8058, 3123 |
| 2686, 1041 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8058,3123 By Matching Biggest Common Factor Method
Now, list down the factors of 8058
:1,2,3,6,17,34,51,79,102,158,237,474,1343,2686,4029,8058
Now, list down the factors of 3123
:1,3,9,347,1041,3123
Greatest Common Factor
We found the factors 8058,3123 . The biggest common factor number is the GCF number.
So the greatest common factor 8058,3123 is 3.
Lets's calculate LCM of 438,6812
| 2 | 438, 6812 |
| 219, 3406 |
∴ So the LCM of the given numbers is 2 x 219 x 3406 = 1491828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1491828
Therefore, the GCF of Fractions 8058/438,3123/6812 is 3/1491828
Least Common Multiple of 438,6812 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 438,6812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,6812) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(438,6812) x common factors =2 x 1 = 2
LCM(438,6812) = ( 438 × 6812 ) / 2
LCM(438,6812) = 2983656 / 2
LCM(438,6812) = 1491828
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FAQs on GCF of Fractions of 8058/438, 3123/6812
1. What is the HCF of 8058,3123?
The HCF of 8058,3123 is 3
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 8058/438, 3123/6812?
Answer: GCF of Numerators as per given numbers 8058/438, 3123/6812 is
GCF of Numerators i.e. for 8058,3123 is 3
LCM of denominators i.e. for 438,6812 is 1491828.
Thus, GCF of Fractions is 3/1491828.Finally, GCF of Fractions for 8058/438, 3123/6812 is 3/1491828.