GCF of 1285/842, 7150/2154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1285/842, 7150/2154 i.e 5/906834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1285/842, 7150/2154.
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 1285/842,7150/2154?
Given fractions are 1285/842,7150/2154
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 1285/842,7150/2154, numerators are 1285,7150
Denominators are 842,2154
The GCF of 1285,7150 is 5 .
LCM of 842,2154 is 906834.
The greatest common factor of 1285/842,7150/2154 = [GCF of 1285,7150]/[LCM of 842,2154]= 5/906834
Therefore, the GCF of 1285/842,7150/2154 is 5/906834.
To find the highest common factor of 1285,7150, we have to find the factors of both numbers and list the highest common factor.
The factors of 1285 are 1, 5, 257, 1285
The factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150
The HCF of 1285,7150 is 5.
Lets's calculate GCF of 1285,7150
| 5 | 1285, 7150 |
| 257, 1430 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1285,7150 By Matching Biggest Common Factor Method
Now, list down the factors of 1285
:1,5,257,1285
Now, list down the factors of 7150
:1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Greatest Common Factor
We found the factors 1285,7150 . The biggest common factor number is the GCF number.
So the greatest common factor 1285,7150 is 5.
Lets's calculate LCM of 842,2154
| 2 | 842, 2154 |
| 421, 1077 |
∴ So the LCM of the given numbers is 2 x 421 x 1077 = 906834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/906834
Therefore, the GCF of Fractions 1285/842,7150/2154 is 5/906834
Least Common Multiple of 842,2154 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 842,2154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,2154) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,2154) x common factors =2 x 1 = 2
LCM(842,2154) = ( 842 × 2154 ) / 2
LCM(842,2154) = 1813668 / 2
LCM(842,2154) = 906834
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1285/842, 7150/2154
1. What is the HCF of 1285,7150?
The HCF of 1285,7150 is 5
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 1285/842, 7150/2154?
Answer: GCF of Numerators as per given numbers 1285/842, 7150/2154 is
GCF of Numerators i.e. for 1285,7150 is 5
LCM of denominators i.e. for 842,2154 is 906834.
Thus, GCF of Fractions is 5/906834.Finally, GCF of Fractions for 1285/842, 7150/2154 is 5/906834.