GCF of 886/22, 712/869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 886/22, 712/869 i.e 2/1738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/22, 712/869.
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 886/22,712/869?
Given fractions are 886/22,712/869
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 886/22,712/869, numerators are 886,712
Denominators are 22,869
The GCF of 886,712 is 2 .
LCM of 22,869 is 1738.
The greatest common factor of 886/22,712/869 = [GCF of 886,712]/[LCM of 22,869]= 2/1738
Therefore, the GCF of 886/22,712/869 is 2/1738.
To find the highest common factor of 886,712, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712
The HCF of 886,712 is 2.
Lets's calculate GCF of 886,712
| 2 | 886, 712 |
| 443, 356 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 886,712 By Matching Biggest Common Factor Method
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 712
:1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 886,712 . The biggest common factor number is the GCF number.
So the greatest common factor 886,712 is 2.
Lets's calculate LCM of 22,869
| 11 | 22, 869 |
| 2, 79 |
∴ So the LCM of the given numbers is 11 x 2 x 79 = 1738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1738
Therefore, the GCF of Fractions 886/22,712/869 is 2/1738
Least Common Multiple of 22,869 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 22,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,869) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(22,869) x common factors =11 x 1 = 11
LCM(22,869) = ( 22 × 869 ) / 11
LCM(22,869) = 19118 / 11
LCM(22,869) = 1738
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FAQs on GCF of Fractions of 886/22, 712/869
1. What is the HCF of 886,712?
The HCF of 886,712 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 886/22, 712/869?
Answer: GCF of Numerators as per given numbers 886/22, 712/869 is
GCF of Numerators i.e. for 886,712 is 2
LCM of denominators i.e. for 22,869 is 1738.
Thus, GCF of Fractions is 2/1738.Finally, GCF of Fractions for 886/22, 712/869 is 2/1738.