GCF of 5679/436, 7340/3506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5679/436, 7340/3506 i.e 1/764308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5679/436, 7340/3506.
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 5679/436,7340/3506?
Given fractions are 5679/436,7340/3506
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 5679/436,7340/3506, numerators are 5679,7340
Denominators are 436,3506
The GCF of 5679,7340 is 1 .
LCM of 436,3506 is 764308.
The greatest common factor of 5679/436,7340/3506 = [GCF of 5679,7340]/[LCM of 436,3506]= 1/764308
Therefore, the GCF of 5679/436,7340/3506 is 1/764308.
To find the highest common factor of 5679,7340, we have to find the factors of both numbers and list the highest common factor.
The factors of 5679 are 1, 3, 9, 631, 1893, 5679
The factors of 7340 are 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340
The HCF of 5679,7340 is 1.
Lets's calculate GCF of 5679,7340
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5679,7340 By Matching Biggest Common Factor Method
Now, list down the factors of 5679
:1,3,9,631,1893,5679
Now, list down the factors of 7340
:1,2,4,5,10,20,367,734,1468,1835,3670,7340
Greatest Common Factor
We found the factors 5679,7340 . The biggest common factor number is the GCF number.
So the greatest common factor 5679,7340 is 1.
Lets's calculate LCM of 436,3506
| 2 | 436, 3506 |
| 218, 1753 |
∴ So the LCM of the given numbers is 2 x 218 x 1753 = 764308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/764308
Therefore, the GCF of Fractions 5679/436,7340/3506 is 1/764308
Least Common Multiple of 436,3506 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 436,3506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,3506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(436,3506) x common factors =2 x 1 = 2
LCM(436,3506) = ( 436 × 3506 ) / 2
LCM(436,3506) = 1528616 / 2
LCM(436,3506) = 764308
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FAQs on GCF of Fractions of 5679/436, 7340/3506
1. What is the HCF of 5679,7340?
The HCF of 5679,7340 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 5679/436, 7340/3506?
Answer: GCF of Numerators as per given numbers 5679/436, 7340/3506 is
GCF of Numerators i.e. for 5679,7340 is 1
LCM of denominators i.e. for 436,3506 is 764308.
Thus, GCF of Fractions is 1/764308.Finally, GCF of Fractions for 5679/436, 7340/3506 is 1/764308.