GCF of 2882/172, 8872/443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2882/172, 8872/443 i.e 2/76196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2882/172, 8872/443.
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 2882/172,8872/443?
Given fractions are 2882/172,8872/443
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 2882/172,8872/443, numerators are 2882,8872
Denominators are 172,443
The GCF of 2882,8872 is 2 .
LCM of 172,443 is 76196.
The greatest common factor of 2882/172,8872/443 = [GCF of 2882,8872]/[LCM of 172,443]= 2/76196
Therefore, the GCF of 2882/172,8872/443 is 2/76196.
To find the highest common factor of 2882,8872, we have to find the factors of both numbers and list the highest common factor.
The factors of 2882 are 1, 2, 11, 22, 131, 262, 1441, 2882
The factors of 8872 are 1, 2, 4, 8, 1109, 2218, 4436, 8872
The HCF of 2882,8872 is 2.
Lets's calculate GCF of 2882,8872
| 2 | 2882, 8872 |
| 1441, 4436 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2882,8872 By Matching Biggest Common Factor Method
Now, list down the factors of 2882
:1,2,11,22,131,262,1441,2882
Now, list down the factors of 8872
:1,2,4,8,1109,2218,4436,8872
Greatest Common Factor
We found the factors 2882,8872 . The biggest common factor number is the GCF number.
So the greatest common factor 2882,8872 is 2.
Lets's calculate LCM of 172,443
Given numbers has no common factors except 1. So, there LCM is their product i.e 76196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76196
Therefore, the GCF of Fractions 2882/172,8872/443 is 2/76196
Least Common Multiple of 172,443 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 172,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,443) x common factors =1 x 1 = 1
LCM(172,443) = ( 172 × 443 ) / 1
LCM(172,443) = 76196 / 1
LCM(172,443) = 76196
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FAQs on GCF of Fractions of 2882/172, 8872/443
1. What is the HCF of 2882,8872?
The HCF of 2882,8872 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 2882/172, 8872/443?
Answer: GCF of Numerators as per given numbers 2882/172, 8872/443 is
GCF of Numerators i.e. for 2882,8872 is 2
LCM of denominators i.e. for 172,443 is 76196.
Thus, GCF of Fractions is 2/76196.Finally, GCF of Fractions for 2882/172, 8872/443 is 2/76196.