GCF of 548/561, 731/211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 548/561, 731/211 i.e 1/118371 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/561, 731/211.
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 548/561,731/211?
Given fractions are 548/561,731/211
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 548/561,731/211, numerators are 548,731
Denominators are 561,211
The GCF of 548,731 is 1 .
LCM of 561,211 is 118371.
The greatest common factor of 548/561,731/211 = [GCF of 548,731]/[LCM of 561,211]= 1/118371
Therefore, the GCF of 548/561,731/211 is 1/118371.
To find the highest common factor of 548,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 548 are 1, 2, 4, 137, 274, 548
The factors of 731 are 1, 17, 43, 731
The HCF of 548,731 is 1.
Lets's calculate GCF of 548,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 548,731 By Matching Biggest Common Factor Method
Now, list down the factors of 548
:1,2,4,137,274,548
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 548,731 . The biggest common factor number is the GCF number.
So the greatest common factor 548,731 is 1.
Lets's calculate LCM of 561,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 118371
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118371
Therefore, the GCF of Fractions 548/561,731/211 is 1/118371
Least Common Multiple of 561,211 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 561,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,211) x common factors =1 x 1 = 1
LCM(561,211) = ( 561 × 211 ) / 1
LCM(561,211) = 118371 / 1
LCM(561,211) = 118371
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FAQs on GCF of Fractions of 548/561, 731/211
1. What is the HCF of 548,731?
The HCF of 548,731 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 548/561, 731/211?
Answer: GCF of Numerators as per given numbers 548/561, 731/211 is
GCF of Numerators i.e. for 548,731 is 1
LCM of denominators i.e. for 561,211 is 118371.
Thus, GCF of Fractions is 1/118371.Finally, GCF of Fractions for 548/561, 731/211 is 1/118371.