GCF of 5695/364, 6891/328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5695/364, 6891/328 i.e 1/29848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5695/364, 6891/328.
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 5695/364,6891/328?
Given fractions are 5695/364,6891/328
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 5695/364,6891/328, numerators are 5695,6891
Denominators are 364,328
The GCF of 5695,6891 is 1 .
LCM of 364,328 is 29848.
The greatest common factor of 5695/364,6891/328 = [GCF of 5695,6891]/[LCM of 364,328]= 1/29848
Therefore, the GCF of 5695/364,6891/328 is 1/29848.
To find the highest common factor of 5695,6891, 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 6891 are 1, 3, 2297, 6891
The HCF of 5695,6891 is 1.
Lets's calculate GCF of 5695,6891
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5695,6891 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 6891
:1,3,2297,6891
Greatest Common Factor
We found the factors 5695,6891 . The biggest common factor number is the GCF number.
So the greatest common factor 5695,6891 is 1.
Lets's calculate LCM of 364,328
| 2 | 364, 328 |
| 2 | 182, 164 |
| 91, 82 |
∴ So the LCM of the given numbers is 2 x 2 x 91 x 82 = 29848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29848
Therefore, the GCF of Fractions 5695/364,6891/328 is 1/29848
Least Common Multiple of 364,328 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 364,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,328) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(364,328) x common factors =4 x 1 = 4
LCM(364,328) = ( 364 × 328 ) / 4
LCM(364,328) = 119392 / 4
LCM(364,328) = 29848
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FAQs on GCF of Fractions of 5695/364, 6891/328
1. What is the HCF of 5695,6891?
The HCF of 5695,6891 is 1
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 5695/364, 6891/328?
Answer: GCF of Numerators as per given numbers 5695/364, 6891/328 is
GCF of Numerators i.e. for 5695,6891 is 1
LCM of denominators i.e. for 364,328 is 29848.
Thus, GCF of Fractions is 1/29848.Finally, GCF of Fractions for 5695/364, 6891/328 is 1/29848.