GCF of 1438/812, 1043/3438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1438/812, 1043/3438 i.e 1/1395828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1438/812, 1043/3438.
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 1438/812,1043/3438?
Given fractions are 1438/812,1043/3438
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 1438/812,1043/3438, numerators are 1438,1043
Denominators are 812,3438
The GCF of 1438,1043 is 1 .
LCM of 812,3438 is 1395828.
The greatest common factor of 1438/812,1043/3438 = [GCF of 1438,1043]/[LCM of 812,3438]= 1/1395828
Therefore, the GCF of 1438/812,1043/3438 is 1/1395828.
To find the highest common factor of 1438,1043, we have to find the factors of both numbers and list the highest common factor.
The factors of 1438 are 1, 2, 719, 1438
The factors of 1043 are 1, 7, 149, 1043
The HCF of 1438,1043 is 1.
Lets's calculate GCF of 1438,1043
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1438,1043 By Matching Biggest Common Factor Method
Now, list down the factors of 1438
:1,2,719,1438
Now, list down the factors of 1043
:1,7,149,1043
Greatest Common Factor
We found the factors 1438,1043 . The biggest common factor number is the GCF number.
So the greatest common factor 1438,1043 is 1.
Lets's calculate LCM of 812,3438
| 2 | 812, 3438 |
| 406, 1719 |
∴ So the LCM of the given numbers is 2 x 406 x 1719 = 1395828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1395828
Therefore, the GCF of Fractions 1438/812,1043/3438 is 1/1395828
Least Common Multiple of 812,3438 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 812,3438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,3438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(812,3438) x common factors =2 x 1 = 2
LCM(812,3438) = ( 812 × 3438 ) / 2
LCM(812,3438) = 2791656 / 2
LCM(812,3438) = 1395828
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FAQs on GCF of Fractions of 1438/812, 1043/3438
1. What is the HCF of 1438,1043?
The HCF of 1438,1043 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 1438/812, 1043/3438?
Answer: GCF of Numerators as per given numbers 1438/812, 1043/3438 is
GCF of Numerators i.e. for 1438,1043 is 1
LCM of denominators i.e. for 812,3438 is 1395828.
Thus, GCF of Fractions is 1/1395828.Finally, GCF of Fractions for 1438/812, 1043/3438 is 1/1395828.