GCF of 884/85, 182/2705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 884/85, 182/2705 i.e 26/45985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/85, 182/2705.
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 884/85,182/2705?
Given fractions are 884/85,182/2705
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 884/85,182/2705, numerators are 884,182
Denominators are 85,2705
The GCF of 884,182 is 26 .
LCM of 85,2705 is 45985.
The greatest common factor of 884/85,182/2705 = [GCF of 884,182]/[LCM of 85,2705]= 26/45985
Therefore, the GCF of 884/85,182/2705 is 26/45985.
To find the highest common factor of 884,182, we have to find the factors of both numbers and list the highest common factor.
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
The HCF of 884,182 is 26.
Lets's calculate GCF of 884,182
| 2 | 884, 182 |
| 13 | 442, 91 |
| 34, 7 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 884,182 By Matching Biggest Common Factor Method
Now, list down the factors of 884
:1,2,4,13,17,26,34,52,68,221,442,884
Now, list down the factors of 182
:1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 884,182 . The biggest common factor number is the GCF number.
So the greatest common factor 884,182 is 26.
Lets's calculate LCM of 85,2705
| 5 | 85, 2705 |
| 17, 541 |
∴ So the LCM of the given numbers is 5 x 17 x 541 = 45985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/45985
Therefore, the GCF of Fractions 884/85,182/2705 is 26/45985
Least Common Multiple of 85,2705 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 85,2705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,2705) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(85,2705) x common factors =5 x 1 = 5
LCM(85,2705) = ( 85 × 2705 ) / 5
LCM(85,2705) = 229925 / 5
LCM(85,2705) = 45985
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FAQs on GCF of Fractions of 884/85, 182/2705
1. What is the HCF of 884,182?
The HCF of 884,182 is 26
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 884/85, 182/2705?
Answer: GCF of Numerators as per given numbers 884/85, 182/2705 is
GCF of Numerators i.e. for 884,182 is 26
LCM of denominators i.e. for 85,2705 is 45985.
Thus, GCF of Fractions is 26/45985.Finally, GCF of Fractions for 884/85, 182/2705 is 26/45985.