GCF of 3125/866, 3151/2810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3125/866, 3151/2810 i.e 1/1216730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3125/866, 3151/2810.
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 3125/866,3151/2810?
Given fractions are 3125/866,3151/2810
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 3125/866,3151/2810, numerators are 3125,3151
Denominators are 866,2810
The GCF of 3125,3151 is 1 .
LCM of 866,2810 is 1216730.
The greatest common factor of 3125/866,3151/2810 = [GCF of 3125,3151]/[LCM of 866,2810]= 1/1216730
Therefore, the GCF of 3125/866,3151/2810 is 1/1216730.
To find the highest common factor of 3125,3151, we have to find the factors of both numbers and list the highest common factor.
The factors of 3125 are 1, 5, 25, 125, 625, 3125
The factors of 3151 are 1, 23, 137, 3151
The HCF of 3125,3151 is 1.
Lets's calculate GCF of 3125,3151
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3125,3151 By Matching Biggest Common Factor Method
Now, list down the factors of 3125
:1,5,25,125,625,3125
Now, list down the factors of 3151
:1,23,137,3151
Greatest Common Factor
We found the factors 3125,3151 . The biggest common factor number is the GCF number.
So the greatest common factor 3125,3151 is 1.
Lets's calculate LCM of 866,2810
| 2 | 866, 2810 |
| 433, 1405 |
∴ So the LCM of the given numbers is 2 x 433 x 1405 = 1216730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1216730
Therefore, the GCF of Fractions 3125/866,3151/2810 is 1/1216730
Least Common Multiple of 866,2810 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 866,2810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,2810) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,2810) x common factors =2 x 1 = 2
LCM(866,2810) = ( 866 × 2810 ) / 2
LCM(866,2810) = 2433460 / 2
LCM(866,2810) = 1216730
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FAQs on GCF of Fractions of 3125/866, 3151/2810
1. What is the HCF of 3125,3151?
The HCF of 3125,3151 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 3125/866, 3151/2810?
Answer: GCF of Numerators as per given numbers 3125/866, 3151/2810 is
GCF of Numerators i.e. for 3125,3151 is 1
LCM of denominators i.e. for 866,2810 is 1216730.
Thus, GCF of Fractions is 1/1216730.Finally, GCF of Fractions for 3125/866, 3151/2810 is 1/1216730.