GCF of 1579/519, 7038/9149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1579/519, 7038/9149 i.e 1/4748331 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1579/519, 7038/9149.
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 1579/519,7038/9149?
Given fractions are 1579/519,7038/9149
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 1579/519,7038/9149, numerators are 1579,7038
Denominators are 519,9149
The GCF of 1579,7038 is 1 .
LCM of 519,9149 is 4748331.
The greatest common factor of 1579/519,7038/9149 = [GCF of 1579,7038]/[LCM of 519,9149]= 1/4748331
Therefore, the GCF of 1579/519,7038/9149 is 1/4748331.
To find the highest common factor of 1579,7038, we have to find the factors of both numbers and list the highest common factor.
The factors of 1579 are 1, 1579
The factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038
The HCF of 1579,7038 is 1.
Lets's calculate GCF of 1579,7038
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1579,7038 By Matching Biggest Common Factor Method
Now, list down the factors of 1579
:1,1579
Now, list down the factors of 7038
:1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038
Greatest Common Factor
We found the factors 1579,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 1579,7038 is 1.
Lets's calculate LCM of 519,9149
Given numbers has no common factors except 1. So, there LCM is their product i.e 4748331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4748331
Therefore, the GCF of Fractions 1579/519,7038/9149 is 1/4748331
Least Common Multiple of 519,9149 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 519,9149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,9149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,9149) x common factors =1 x 1 = 1
LCM(519,9149) = ( 519 × 9149 ) / 1
LCM(519,9149) = 4748331 / 1
LCM(519,9149) = 4748331
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FAQs on GCF of Fractions of 1579/519, 7038/9149
1. What is the HCF of 1579,7038?
The HCF of 1579,7038 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 1579/519, 7038/9149?
Answer: GCF of Numerators as per given numbers 1579/519, 7038/9149 is
GCF of Numerators i.e. for 1579,7038 is 1
LCM of denominators i.e. for 519,9149 is 4748331.
Thus, GCF of Fractions is 1/4748331.Finally, GCF of Fractions for 1579/519, 7038/9149 is 1/4748331.