GCF of 558/334, 4219/977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 558/334, 4219/977 i.e 1/326318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 558/334, 4219/977.
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 558/334,4219/977?
Given fractions are 558/334,4219/977
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 558/334,4219/977, numerators are 558,4219
Denominators are 334,977
The GCF of 558,4219 is 1 .
LCM of 334,977 is 326318.
The greatest common factor of 558/334,4219/977 = [GCF of 558,4219]/[LCM of 334,977]= 1/326318
Therefore, the GCF of 558/334,4219/977 is 1/326318.
To find the highest common factor of 558,4219, we have to find the factors of both numbers and list the highest common factor.
The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
The factors of 4219 are 1, 4219
The HCF of 558,4219 is 1.
Lets's calculate GCF of 558,4219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 558,4219 By Matching Biggest Common Factor Method
Now, list down the factors of 558
:1,2,3,6,9,18,31,62,93,186,279,558
Now, list down the factors of 4219
:1,4219
Greatest Common Factor
We found the factors 558,4219 . The biggest common factor number is the GCF number.
So the greatest common factor 558,4219 is 1.
Lets's calculate LCM of 334,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 326318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326318
Therefore, the GCF of Fractions 558/334,4219/977 is 1/326318
Least Common Multiple of 334,977 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 334,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,977) x common factors =1 x 1 = 1
LCM(334,977) = ( 334 × 977 ) / 1
LCM(334,977) = 326318 / 1
LCM(334,977) = 326318
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FAQs on GCF of Fractions of 558/334, 4219/977
1. What is the HCF of 558,4219?
The HCF of 558,4219 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 558/334, 4219/977?
Answer: GCF of Numerators as per given numbers 558/334, 4219/977 is
GCF of Numerators i.e. for 558,4219 is 1
LCM of denominators i.e. for 334,977 is 326318.
Thus, GCF of Fractions is 1/326318.Finally, GCF of Fractions for 558/334, 4219/977 is 1/326318.