GCF of 891/45, 748/26, 870/14
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 891/45, 748/26, 870/14 i.e 1/8190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 891/45, 748/26, 870/14.
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 891/45,748/26,870/14?
Given fractions are 891/45,748/26,870/14
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 891/45,748/26,870/14, numerators are 891,748,870
Denominators are 45,26,14
The GCF of 891,748,870 is 1 .
LCM of 45,26,14 is 8190.
The greatest common factor of 891/45,748/26,870/14 = [GCF of 891,748,870]/[LCM of 45,26,14]= 1/8190
Therefore, the GCF of 891/45,748/26,870/14 is 1/8190.
To find the highest common factor of 891,748,870, 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 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 891,748,870 is 1.
Lets's calculate GCF of 891,748,870
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 891,748,870 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 748
:1,2,4,11,17,22,34,44,68,187,374,748
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 891,748,870 . The biggest common factor number is the GCF number.
So the greatest common factor 891,748,870 is 1.
Lets's calculate LCM of 45,26,14
| 2 | 45, 26, 14 |
| 45, 13, 7 |
∴ So the LCM of the given numbers is 2 x 45 x 13 x 7 = 8190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8190
Therefore, the GCF of Fractions 891/45,748/26,870/14 is 1/8190
Least Common Multiple of 45,26,14 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 45,26,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,26,14) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(45,26,14) x common factors =1 x 2 = 2
LCM(45,26,14) = ( 45 × 26 × 14 ) / 2
LCM(45,26,14) = 16380 / 2
LCM(45,26,14) = 8190
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 891/45, 748/26, 870/14
1. What is the HCF of 891,748,870?
The HCF of 891,748,870 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 891/45, 748/26, 870/14?
Answer: GCF of Numerators as per given numbers 891/45, 748/26, 870/14 is
GCF of Numerators i.e. for 891,748,870 is 1
LCM of denominators i.e. for 45,26,14 is 8190.
Thus, GCF of Fractions is 1/8190.Finally, GCF of Fractions for 891/45, 748/26, 870/14 is 1/8190.