GCF of 872/44, 886/6270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 872/44, 886/6270 i.e 2/12540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/44, 886/6270.
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 872/44,886/6270?
Given fractions are 872/44,886/6270
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 872/44,886/6270, numerators are 872,886
Denominators are 44,6270
The GCF of 872,886 is 2 .
LCM of 44,6270 is 12540.
The greatest common factor of 872/44,886/6270 = [GCF of 872,886]/[LCM of 44,6270]= 2/12540
Therefore, the GCF of 872/44,886/6270 is 2/12540.
To find the highest common factor of 872,886, we have to find the factors of both numbers and list the highest common factor.
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The factors of 886 are 1, 2, 443, 886
The HCF of 872,886 is 2.
Lets's calculate GCF of 872,886
| 2 | 872, 886 |
| 436, 443 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 872,886 By Matching Biggest Common Factor Method
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Now, list down the factors of 886
:1,2,443,886
Greatest Common Factor
We found the factors 872,886 . The biggest common factor number is the GCF number.
So the greatest common factor 872,886 is 2.
Lets's calculate LCM of 44,6270
| 2 | 44, 6270 |
| 11 | 22, 3135 |
| 2, 285 |
∴ So the LCM of the given numbers is 2 x 11 x 2 x 285 = 12540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12540
Therefore, the GCF of Fractions 872/44,886/6270 is 2/12540
Least Common Multiple of 44,6270 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 44,6270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,6270) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(44,6270) x common factors =22 x 1 = 22
LCM(44,6270) = ( 44 × 6270 ) / 22
LCM(44,6270) = 275880 / 22
LCM(44,6270) = 12540
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FAQs on GCF of Fractions of 872/44, 886/6270
1. What is the HCF of 872,886?
The HCF of 872,886 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 872/44, 886/6270?
Answer: GCF of Numerators as per given numbers 872/44, 886/6270 is
GCF of Numerators i.e. for 872,886 is 2
LCM of denominators i.e. for 44,6270 is 12540.
Thus, GCF of Fractions is 2/12540.Finally, GCF of Fractions for 872/44, 886/6270 is 2/12540.