GCF of 2972/321, 5339/548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2972/321, 5339/548 i.e 1/175908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2972/321, 5339/548.
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 2972/321,5339/548?
Given fractions are 2972/321,5339/548
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 2972/321,5339/548, numerators are 2972,5339
Denominators are 321,548
The GCF of 2972,5339 is 1 .
LCM of 321,548 is 175908.
The greatest common factor of 2972/321,5339/548 = [GCF of 2972,5339]/[LCM of 321,548]= 1/175908
Therefore, the GCF of 2972/321,5339/548 is 1/175908.
To find the highest common factor of 2972,5339, we have to find the factors of both numbers and list the highest common factor.
The factors of 2972 are 1, 2, 4, 743, 1486, 2972
The factors of 5339 are 1, 19, 281, 5339
The HCF of 2972,5339 is 1.
Lets's calculate GCF of 2972,5339
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2972,5339 By Matching Biggest Common Factor Method
Now, list down the factors of 2972
:1,2,4,743,1486,2972
Now, list down the factors of 5339
:1,19,281,5339
Greatest Common Factor
We found the factors 2972,5339 . The biggest common factor number is the GCF number.
So the greatest common factor 2972,5339 is 1.
Lets's calculate LCM of 321,548
Given numbers has no common factors except 1. So, there LCM is their product i.e 175908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175908
Therefore, the GCF of Fractions 2972/321,5339/548 is 1/175908
Least Common Multiple of 321,548 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 321,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,548) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,548) x common factors =1 x 1 = 1
LCM(321,548) = ( 321 × 548 ) / 1
LCM(321,548) = 175908 / 1
LCM(321,548) = 175908
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FAQs on GCF of Fractions of 2972/321, 5339/548
1. What is the HCF of 2972,5339?
The HCF of 2972,5339 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 2972/321, 5339/548?
Answer: GCF of Numerators as per given numbers 2972/321, 5339/548 is
GCF of Numerators i.e. for 2972,5339 is 1
LCM of denominators i.e. for 321,548 is 175908.
Thus, GCF of Fractions is 1/175908.Finally, GCF of Fractions for 2972/321, 5339/548 is 1/175908.