GCF of 2837/160, 8354/8695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2837/160, 8354/8695 i.e 1/278240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2837/160, 8354/8695.
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 2837/160,8354/8695?
Given fractions are 2837/160,8354/8695
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 2837/160,8354/8695, numerators are 2837,8354
Denominators are 160,8695
The GCF of 2837,8354 is 1 .
LCM of 160,8695 is 278240.
The greatest common factor of 2837/160,8354/8695 = [GCF of 2837,8354]/[LCM of 160,8695]= 1/278240
Therefore, the GCF of 2837/160,8354/8695 is 1/278240.
To find the highest common factor of 2837,8354, we have to find the factors of both numbers and list the highest common factor.
The factors of 2837 are 1, 2837
The factors of 8354 are 1, 2, 4177, 8354
The HCF of 2837,8354 is 1.
Lets's calculate GCF of 2837,8354
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2837,8354 By Matching Biggest Common Factor Method
Now, list down the factors of 2837
:1,2837
Now, list down the factors of 8354
:1,2,4177,8354
Greatest Common Factor
We found the factors 2837,8354 . The biggest common factor number is the GCF number.
So the greatest common factor 2837,8354 is 1.
Lets's calculate LCM of 160,8695
| 5 | 160, 8695 |
| 32, 1739 |
∴ So the LCM of the given numbers is 5 x 32 x 1739 = 278240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278240
Therefore, the GCF of Fractions 2837/160,8354/8695 is 1/278240
Least Common Multiple of 160,8695 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 160,8695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,8695) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(160,8695) x common factors =5 x 1 = 5
LCM(160,8695) = ( 160 × 8695 ) / 5
LCM(160,8695) = 1391200 / 5
LCM(160,8695) = 278240
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2837/160, 8354/8695
1. What is the HCF of 2837,8354?
The HCF of 2837,8354 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 2837/160, 8354/8695?
Answer: GCF of Numerators as per given numbers 2837/160, 8354/8695 is
GCF of Numerators i.e. for 2837,8354 is 1
LCM of denominators i.e. for 160,8695 is 278240.
Thus, GCF of Fractions is 1/278240.Finally, GCF of Fractions for 2837/160, 8354/8695 is 1/278240.