GCF of 166/444, 5432/2218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 166/444, 5432/2218 i.e 2/492396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 166/444, 5432/2218.
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 166/444,5432/2218?
Given fractions are 166/444,5432/2218
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 166/444,5432/2218, numerators are 166,5432
Denominators are 444,2218
The GCF of 166,5432 is 2 .
LCM of 444,2218 is 492396.
The greatest common factor of 166/444,5432/2218 = [GCF of 166,5432]/[LCM of 444,2218]= 2/492396
Therefore, the GCF of 166/444,5432/2218 is 2/492396.
To find the highest common factor of 166,5432, we have to find the factors of both numbers and list the highest common factor.
The factors of 166 are 1, 2, 83, 166
The factors of 5432 are 1, 2, 4, 7, 8, 14, 28, 56, 97, 194, 388, 679, 776, 1358, 2716, 5432
The HCF of 166,5432 is 2.
Lets's calculate GCF of 166,5432
| 2 | 166, 5432 |
| 83, 2716 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 166,5432 By Matching Biggest Common Factor Method
Now, list down the factors of 166
:1,2,83,166
Now, list down the factors of 5432
:1,2,4,7,8,14,28,56,97,194,388,679,776,1358,2716,5432
Greatest Common Factor
We found the factors 166,5432 . The biggest common factor number is the GCF number.
So the greatest common factor 166,5432 is 2.
Lets's calculate LCM of 444,2218
| 2 | 444, 2218 |
| 222, 1109 |
∴ So the LCM of the given numbers is 2 x 222 x 1109 = 492396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/492396
Therefore, the GCF of Fractions 166/444,5432/2218 is 2/492396
Least Common Multiple of 444,2218 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 444,2218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,2218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(444,2218) x common factors =2 x 1 = 2
LCM(444,2218) = ( 444 × 2218 ) / 2
LCM(444,2218) = 984792 / 2
LCM(444,2218) = 492396
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FAQs on GCF of Fractions of 166/444, 5432/2218
1. What is the HCF of 166,5432?
The HCF of 166,5432 is 2
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 166/444, 5432/2218?
Answer: GCF of Numerators as per given numbers 166/444, 5432/2218 is
GCF of Numerators i.e. for 166,5432 is 2
LCM of denominators i.e. for 444,2218 is 492396.
Thus, GCF of Fractions is 2/492396.Finally, GCF of Fractions for 166/444, 5432/2218 is 2/492396.