GCF of 5479/349, 3078/223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5479/349, 3078/223 i.e 1/77827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5479/349, 3078/223.
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 5479/349,3078/223?
Given fractions are 5479/349,3078/223
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 5479/349,3078/223, numerators are 5479,3078
Denominators are 349,223
The GCF of 5479,3078 is 1 .
LCM of 349,223 is 77827.
The greatest common factor of 5479/349,3078/223 = [GCF of 5479,3078]/[LCM of 349,223]= 1/77827
Therefore, the GCF of 5479/349,3078/223 is 1/77827.
To find the highest common factor of 5479,3078, we have to find the factors of both numbers and list the highest common factor.
The factors of 5479 are 1, 5479
The factors of 3078 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 513, 1026, 1539, 3078
The HCF of 5479,3078 is 1.
Lets's calculate GCF of 5479,3078
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5479,3078 By Matching Biggest Common Factor Method
Now, list down the factors of 5479
:1,5479
Now, list down the factors of 3078
:1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,342,513,1026,1539,3078
Greatest Common Factor
We found the factors 5479,3078 . The biggest common factor number is the GCF number.
So the greatest common factor 5479,3078 is 1.
Lets's calculate LCM of 349,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 77827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77827
Therefore, the GCF of Fractions 5479/349,3078/223 is 1/77827
Least Common Multiple of 349,223 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 349,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,223) x common factors =1 x 1 = 1
LCM(349,223) = ( 349 × 223 ) / 1
LCM(349,223) = 77827 / 1
LCM(349,223) = 77827
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FAQs on GCF of Fractions of 5479/349, 3078/223
1. What is the HCF of 5479,3078?
The HCF of 5479,3078 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 5479/349, 3078/223?
Answer: GCF of Numerators as per given numbers 5479/349, 3078/223 is
GCF of Numerators i.e. for 5479,3078 is 1
LCM of denominators i.e. for 349,223 is 77827.
Thus, GCF of Fractions is 1/77827.Finally, GCF of Fractions for 5479/349, 3078/223 is 1/77827.