GCF of 89/26, 342/51, 470/436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 89/26, 342/51, 470/436 i.e 1/289068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/26, 342/51, 470/436.
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 89/26,342/51,470/436?
Given fractions are 89/26,342/51,470/436
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 89/26,342/51,470/436, numerators are 89,342,470
Denominators are 26,51,436
The GCF of 89,342,470 is 1 .
LCM of 26,51,436 is 289068.
The greatest common factor of 89/26,342/51,470/436 = [GCF of 89,342,470]/[LCM of 26,51,436]= 1/289068
Therefore, the GCF of 89/26,342/51,470/436 is 1/289068.
To find the highest common factor of 89,342,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 89 are 1, 89
The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 89,342,470 is 1.
Lets's calculate GCF of 89,342,470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 89,342,470 By Matching Biggest Common Factor Method
Now, list down the factors of 89
:1,89
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 89,342,470 . The biggest common factor number is the GCF number.
So the greatest common factor 89,342,470 is 1.
Lets's calculate LCM of 26,51,436
| 2 | 26, 51, 436 |
| 13, 51, 218 |
∴ So the LCM of the given numbers is 2 x 13 x 51 x 218 = 289068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289068
Therefore, the GCF of Fractions 89/26,342/51,470/436 is 1/289068
Least Common Multiple of 26,51,436 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 26,51,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,51,436) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,51,436) x common factors =1 x 2 = 2
LCM(26,51,436) = ( 26 × 51 × 436 ) / 2
LCM(26,51,436) = 578136 / 2
LCM(26,51,436) = 289068
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 89/26, 342/51, 470/436
1. What is the HCF of 89,342,470?
The HCF of 89,342,470 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 89/26, 342/51, 470/436?
Answer: GCF of Numerators as per given numbers 89/26, 342/51, 470/436 is
GCF of Numerators i.e. for 89,342,470 is 1
LCM of denominators i.e. for 26,51,436 is 289068.
Thus, GCF of Fractions is 1/289068.Finally, GCF of Fractions for 89/26, 342/51, 470/436 is 1/289068.