GCF of 13/90, 156/30, 845/615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 13/90, 156/30, 845/615 i.e 13/3690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/90, 156/30, 845/615.
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 13/90,156/30,845/615?
Given fractions are 13/90,156/30,845/615
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 13/90,156/30,845/615, numerators are 13,156,845
Denominators are 90,30,615
The GCF of 13,156,845 is 13 .
LCM of 90,30,615 is 3690.
The greatest common factor of 13/90,156/30,845/615 = [GCF of 13,156,845]/[LCM of 90,30,615]= 13/3690
Therefore, the GCF of 13/90,156/30,845/615 is 13/3690.
To find the highest common factor of 13,156,845, 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 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
The factors of 845 are 1, 5, 13, 65, 169, 845
The HCF of 13,156,845 is 13.
Lets's calculate GCF of 13,156,845
| 13 | 13, 156, 845 |
| 1, 12, 65 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 13,156,845 By Matching Biggest Common Factor Method
Now, list down the factors of 13
:1,13
Now, list down the factors of 156
:1,2,3,4,6,12,13,26,39,52,78,156
Now, list down the factors of 845
:1,5,13,65,169,845
Greatest Common Factor
We found the factors 13,156,845 . The biggest common factor number is the GCF number.
So the greatest common factor 13,156,845 is 13.
Lets's calculate LCM of 90,30,615
| 2 | 90, 30, 615 |
| 3 | 45, 15, 615 |
| 5 | 5, 15, 205 |
| 1, 3, 41 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 3 x 41 = 3690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3690
Therefore, the GCF of Fractions 13/90,156/30,845/615 is 13/3690
Least Common Multiple of 90,30,615 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 90,30,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,30,615) = 15
common factors(in case of two or more numbers have common factors) = 30
GCF(90,30,615) x common factors =15 x 30 = 450
LCM(90,30,615) = ( 90 × 30 × 615 ) / 450
LCM(90,30,615) = 1660500 / 450
LCM(90,30,615) = 3690
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FAQs on GCF of Fractions of 13/90, 156/30, 845/615
1. What is the HCF of 13,156,845?
The HCF of 13,156,845 is 13
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 13/90, 156/30, 845/615?
Answer: GCF of Numerators as per given numbers 13/90, 156/30, 845/615 is
GCF of Numerators i.e. for 13,156,845 is 13
LCM of denominators i.e. for 90,30,615 is 3690.
Thus, GCF of Fractions is 13/3690.Finally, GCF of Fractions for 13/90, 156/30, 845/615 is 13/3690.