GCF of 891/714, 1785/236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 891/714, 1785/236 i.e 3/84252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 891/714, 1785/236.
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 891/714,1785/236?
Given fractions are 891/714,1785/236
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 891/714,1785/236, numerators are 891,1785
Denominators are 714,236
The GCF of 891,1785 is 3 .
LCM of 714,236 is 84252.
The greatest common factor of 891/714,1785/236 = [GCF of 891,1785]/[LCM of 714,236]= 3/84252
Therefore, the GCF of 891/714,1785/236 is 3/84252.
To find the highest common factor of 891,1785, we have to find the factors of both numbers and list the highest common factor.
The factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
The factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785
The HCF of 891,1785 is 3.
Lets's calculate GCF of 891,1785
| 3 | 891, 1785 |
| 297, 595 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 891,1785 By Matching Biggest Common Factor Method
Now, list down the factors of 891
:1,3,9,11,27,33,81,99,297,891
Now, list down the factors of 1785
:1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785
Greatest Common Factor
We found the factors 891,1785 . The biggest common factor number is the GCF number.
So the greatest common factor 891,1785 is 3.
Lets's calculate LCM of 714,236
| 2 | 714, 236 |
| 357, 118 |
∴ So the LCM of the given numbers is 2 x 357 x 118 = 84252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/84252
Therefore, the GCF of Fractions 891/714,1785/236 is 3/84252
Least Common Multiple of 714,236 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 714,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,236) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,236) x common factors =2 x 1 = 2
LCM(714,236) = ( 714 × 236 ) / 2
LCM(714,236) = 168504 / 2
LCM(714,236) = 84252
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 891/714, 1785/236
1. What is the HCF of 891,1785?
The HCF of 891,1785 is 3
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 891/714, 1785/236?
Answer: GCF of Numerators as per given numbers 891/714, 1785/236 is
GCF of Numerators i.e. for 891,1785 is 3
LCM of denominators i.e. for 714,236 is 84252.
Thus, GCF of Fractions is 3/84252.Finally, GCF of Fractions for 891/714, 1785/236 is 3/84252.