GCF of 149/549, 531/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 149/549, 531/319 i.e 1/175131 easily. The following is the detailed procedure to determine the greatest common factor of fractions 149/549, 531/319.
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 149/549,531/319?
Given fractions are 149/549,531/319
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 149/549,531/319, numerators are 149,531
Denominators are 549,319
The GCF of 149,531 is 1 .
LCM of 549,319 is 175131.
The greatest common factor of 149/549,531/319 = [GCF of 149,531]/[LCM of 549,319]= 1/175131
Therefore, the GCF of 149/549,531/319 is 1/175131.
To find the highest common factor of 149,531, we have to find the factors of both numbers and list the highest common factor.
The factors of 149 are 1, 149
The factors of 531 are 1, 3, 9, 59, 177, 531
The HCF of 149,531 is 1.
Lets's calculate GCF of 149,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 149,531 By Matching Biggest Common Factor Method
Now, list down the factors of 149
:1,149
Now, list down the factors of 531
:1,3,9,59,177,531
Greatest Common Factor
We found the factors 149,531 . The biggest common factor number is the GCF number.
So the greatest common factor 149,531 is 1.
Lets's calculate LCM of 549,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 175131
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175131
Therefore, the GCF of Fractions 149/549,531/319 is 1/175131
Least Common Multiple of 549,319 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 549,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,319) x common factors =1 x 1 = 1
LCM(549,319) = ( 549 × 319 ) / 1
LCM(549,319) = 175131 / 1
LCM(549,319) = 175131
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FAQs on GCF of Fractions of 149/549, 531/319
1. What is the HCF of 149,531?
The HCF of 149,531 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 149/549, 531/319?
Answer: GCF of Numerators as per given numbers 149/549, 531/319 is
GCF of Numerators i.e. for 149,531 is 1
LCM of denominators i.e. for 549,319 is 175131.
Thus, GCF of Fractions is 1/175131.Finally, GCF of Fractions for 149/549, 531/319 is 1/175131.