GCF of 219/809, 154/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 219/809, 154/932 i.e 1/753988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 219/809, 154/932.
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 219/809,154/932?
Given fractions are 219/809,154/932
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 219/809,154/932, numerators are 219,154
Denominators are 809,932
The GCF of 219,154 is 1 .
LCM of 809,932 is 753988.
The greatest common factor of 219/809,154/932 = [GCF of 219,154]/[LCM of 809,932]= 1/753988
Therefore, the GCF of 219/809,154/932 is 1/753988.
To find the highest common factor of 219,154, we have to find the factors of both numbers and list the highest common factor.
The factors of 219 are 1, 3, 73, 219
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The HCF of 219,154 is 1.
Lets's calculate GCF of 219,154
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 219,154 By Matching Biggest Common Factor Method
Now, list down the factors of 219
:1,3,73,219
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 219,154 . The biggest common factor number is the GCF number.
So the greatest common factor 219,154 is 1.
Lets's calculate LCM of 809,932
Given numbers has no common factors except 1. So, there LCM is their product i.e 753988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/753988
Therefore, the GCF of Fractions 219/809,154/932 is 1/753988
Least Common Multiple of 809,932 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 809,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,932) x common factors =1 x 1 = 1
LCM(809,932) = ( 809 × 932 ) / 1
LCM(809,932) = 753988 / 1
LCM(809,932) = 753988
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FAQs on GCF of Fractions of 219/809, 154/932
1. What is the HCF of 219,154?
The HCF of 219,154 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 219/809, 154/932?
Answer: GCF of Numerators as per given numbers 219/809, 154/932 is
GCF of Numerators i.e. for 219,154 is 1
LCM of denominators i.e. for 809,932 is 753988.
Thus, GCF of Fractions is 1/753988.Finally, GCF of Fractions for 219/809, 154/932 is 1/753988.