GCF of 13/69, 903/60, 882/534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 13/69, 903/60, 882/534 i.e 1/122820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/69, 903/60, 882/534.
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 13/69,903/60,882/534?
Given fractions are 13/69,903/60,882/534
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 13/69,903/60,882/534, numerators are 13,903,882
Denominators are 69,60,534
The GCF of 13,903,882 is 1 .
LCM of 69,60,534 is 122820.
The greatest common factor of 13/69,903/60,882/534 = [GCF of 13,903,882]/[LCM of 69,60,534]= 1/122820
Therefore, the GCF of 13/69,903/60,882/534 is 1/122820.
To find the highest common factor of 13,903,882, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903
The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
The HCF of 13,903,882 is 1.
Lets's calculate GCF of 13,903,882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 13,903,882 By Matching Biggest Common Factor Method
Now, list down the factors of 13
:1,13
Now, list down the factors of 903
:1,3,7,21,43,129,301,903
Now, list down the factors of 882
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 13,903,882 . The biggest common factor number is the GCF number.
So the greatest common factor 13,903,882 is 1.
Lets's calculate LCM of 69,60,534
| 2 | 69, 60, 534 |
| 3 | 69, 30, 267 |
| 23, 10, 89 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 10 x 89 = 122820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122820
Therefore, the GCF of Fractions 13/69,903/60,882/534 is 1/122820
Least Common Multiple of 69,60,534 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 69,60,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,60,534) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(69,60,534) x common factors =3 x 6 = 18
LCM(69,60,534) = ( 69 × 60 × 534 ) / 18
LCM(69,60,534) = 2210760 / 18
LCM(69,60,534) = 122820
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 13/69, 903/60, 882/534
1. What is the HCF of 13,903,882?
The HCF of 13,903,882 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 13/69, 903/60, 882/534?
Answer: GCF of Numerators as per given numbers 13/69, 903/60, 882/534 is
GCF of Numerators i.e. for 13,903,882 is 1
LCM of denominators i.e. for 69,60,534 is 122820.
Thus, GCF of Fractions is 1/122820.Finally, GCF of Fractions for 13/69, 903/60, 882/534 is 1/122820.