GCF of 879/164, 452/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 879/164, 452/242 i.e 1/19844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/164, 452/242.
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 879/164,452/242?
Given fractions are 879/164,452/242
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 879/164,452/242, numerators are 879,452
Denominators are 164,242
The GCF of 879,452 is 1 .
LCM of 164,242 is 19844.
The greatest common factor of 879/164,452/242 = [GCF of 879,452]/[LCM of 164,242]= 1/19844
Therefore, the GCF of 879/164,452/242 is 1/19844.
To find the highest common factor of 879,452, we have to find the factors of both numbers and list the highest common factor.
The factors of 879 are 1, 3, 293, 879
The factors of 452 are 1, 2, 4, 113, 226, 452
The HCF of 879,452 is 1.
Lets's calculate GCF of 879,452
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 879,452 By Matching Biggest Common Factor Method
Now, list down the factors of 879
:1,3,293,879
Now, list down the factors of 452
:1,2,4,113,226,452
Greatest Common Factor
We found the factors 879,452 . The biggest common factor number is the GCF number.
So the greatest common factor 879,452 is 1.
Lets's calculate LCM of 164,242
| 2 | 164, 242 |
| 82, 121 |
∴ So the LCM of the given numbers is 2 x 82 x 121 = 19844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19844
Therefore, the GCF of Fractions 879/164,452/242 is 1/19844
Least Common Multiple of 164,242 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 164,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,242) x common factors =2 x 1 = 2
LCM(164,242) = ( 164 × 242 ) / 2
LCM(164,242) = 39688 / 2
LCM(164,242) = 19844
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FAQs on GCF of Fractions of 879/164, 452/242
1. What is the HCF of 879,452?
The HCF of 879,452 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 879/164, 452/242?
Answer: GCF of Numerators as per given numbers 879/164, 452/242 is
GCF of Numerators i.e. for 879,452 is 1
LCM of denominators i.e. for 164,242 is 19844.
Thus, GCF of Fractions is 1/19844.Finally, GCF of Fractions for 879/164, 452/242 is 1/19844.