GCF of 81/529, 675/249, 218/692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/529, 675/249, 218/692 i.e 1/91150932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/529, 675/249, 218/692.
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 81/529,675/249,218/692?
Given fractions are 81/529,675/249,218/692
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 81/529,675/249,218/692, numerators are 81,675,218
Denominators are 529,249,692
The GCF of 81,675,218 is 1 .
LCM of 529,249,692 is 91150932.
The greatest common factor of 81/529,675/249,218/692 = [GCF of 81,675,218]/[LCM of 529,249,692]= 1/91150932
Therefore, the GCF of 81/529,675/249,218/692 is 1/91150932.
To find the highest common factor of 81,675,218, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
The factors of 218 are 1, 2, 109, 218
The HCF of 81,675,218 is 1.
Lets's calculate GCF of 81,675,218
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 81,675,218 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 675
:1,3,5,9,15,25,27,45,75,135,225,675
Now, list down the factors of 218
:1,2,109,218
Greatest Common Factor
We found the factors 81,675,218 . The biggest common factor number is the GCF number.
So the greatest common factor 81,675,218 is 1.
Lets's calculate LCM of 529,249,692
Given numbers has no common factors except 1. So, there LCM is their product i.e 91150932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91150932
Therefore, the GCF of Fractions 81/529,675/249,218/692 is 1/91150932
Least Common Multiple of 529,249,692 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 529,249,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,249,692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,249,692) x common factors =1 x 1 = 1
LCM(529,249,692) = ( 529 × 249 × 692 ) / 1
LCM(529,249,692) = 91150932 / 1
LCM(529,249,692) = 91150932
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FAQs on GCF of Fractions of 81/529, 675/249, 218/692
1. What is the HCF of 81,675,218?
The HCF of 81,675,218 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 81/529, 675/249, 218/692?
Answer: GCF of Numerators as per given numbers 81/529, 675/249, 218/692 is
GCF of Numerators i.e. for 81,675,218 is 1
LCM of denominators i.e. for 529,249,692 is 91150932.
Thus, GCF of Fractions is 1/91150932.Finally, GCF of Fractions for 81/529, 675/249, 218/692 is 1/91150932.