GCF of 763/18, 408/30, 315/60
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 763/18, 408/30, 315/60 i.e 1/180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 763/18, 408/30, 315/60.
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 763/18,408/30,315/60?
Given fractions are 763/18,408/30,315/60
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 763/18,408/30,315/60, numerators are 763,408,315
Denominators are 18,30,60
The GCF of 763,408,315 is 1 .
LCM of 18,30,60 is 180.
The greatest common factor of 763/18,408/30,315/60 = [GCF of 763,408,315]/[LCM of 18,30,60]= 1/180
Therefore, the GCF of 763/18,408/30,315/60 is 1/180.
To find the highest common factor of 763,408,315, we have to find the factors of both numbers and list the highest common factor.
The factors of 763 are 1, 7, 109, 763
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
The HCF of 763,408,315 is 1.
Lets's calculate GCF of 763,408,315
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 763,408,315 By Matching Biggest Common Factor Method
Now, list down the factors of 763
:1,7,109,763
Now, list down the factors of 408
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Now, list down the factors of 315
:1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 763,408,315 . The biggest common factor number is the GCF number.
So the greatest common factor 763,408,315 is 1.
Lets's calculate LCM of 18,30,60
| 2 | 18, 30, 60 |
| 3 | 9, 15, 30 |
| 5 | 3, 5, 10 |
| 3, 1, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 1 x 2 = 180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180
Therefore, the GCF of Fractions 763/18,408/30,315/60 is 1/180
Least Common Multiple of 18,30,60 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 18,30,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,30,60) = 6
common factors(in case of two or more numbers have common factors) = 30
GCF(18,30,60) x common factors =6 x 30 = 180
LCM(18,30,60) = ( 18 × 30 × 60 ) / 180
LCM(18,30,60) = 32400 / 180
LCM(18,30,60) = 180
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FAQs on GCF of Fractions of 763/18, 408/30, 315/60
1. What is the HCF of 763,408,315?
The HCF of 763,408,315 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 763/18, 408/30, 315/60?
Answer: GCF of Numerators as per given numbers 763/18, 408/30, 315/60 is
GCF of Numerators i.e. for 763,408,315 is 1
LCM of denominators i.e. for 18,30,60 is 180.
Thus, GCF of Fractions is 1/180.Finally, GCF of Fractions for 763/18, 408/30, 315/60 is 1/180.