GCF of 5695/182, 2144/9716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5695/182, 2144/9716 i.e 67/126308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5695/182, 2144/9716.
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 5695/182,2144/9716?
Given fractions are 5695/182,2144/9716
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 5695/182,2144/9716, numerators are 5695,2144
Denominators are 182,9716
The GCF of 5695,2144 is 67 .
LCM of 182,9716 is 126308.
The greatest common factor of 5695/182,2144/9716 = [GCF of 5695,2144]/[LCM of 182,9716]= 67/126308
Therefore, the GCF of 5695/182,2144/9716 is 67/126308.
To find the highest common factor of 5695,2144, we have to find the factors of both numbers and list the highest common factor.
The factors of 5695 are 1, 5, 17, 67, 85, 335, 1139, 5695
The factors of 2144 are 1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144
The HCF of 5695,2144 is 67.
Lets's calculate GCF of 5695,2144
| 67 | 5695, 2144 |
| 85, 32 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 5695,2144 By Matching Biggest Common Factor Method
Now, list down the factors of 5695
:1,5,17,67,85,335,1139,5695
Now, list down the factors of 2144
:1,2,4,8,16,32,67,134,268,536,1072,2144
Greatest Common Factor
We found the factors 5695,2144 . The biggest common factor number is the GCF number.
So the greatest common factor 5695,2144 is 67.
Lets's calculate LCM of 182,9716
| 2 | 182, 9716 |
| 7 | 91, 4858 |
| 13, 694 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 694 = 126308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/126308
Therefore, the GCF of Fractions 5695/182,2144/9716 is 67/126308
Least Common Multiple of 182,9716 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 182,9716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,9716) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(182,9716) x common factors =14 x 1 = 14
LCM(182,9716) = ( 182 × 9716 ) / 14
LCM(182,9716) = 1768312 / 14
LCM(182,9716) = 126308
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FAQs on GCF of Fractions of 5695/182, 2144/9716
1. What is the HCF of 5695,2144?
The HCF of 5695,2144 is 67
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 5695/182, 2144/9716?
Answer: GCF of Numerators as per given numbers 5695/182, 2144/9716 is
GCF of Numerators i.e. for 5695,2144 is 67
LCM of denominators i.e. for 182,9716 is 126308.
Thus, GCF of Fractions is 67/126308.Finally, GCF of Fractions for 5695/182, 2144/9716 is 67/126308.