GCF of 750/20, 318/1712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 750/20, 318/1712 i.e 6/8560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 750/20, 318/1712.
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 750/20,318/1712?
Given fractions are 750/20,318/1712
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 750/20,318/1712, numerators are 750,318
Denominators are 20,1712
The GCF of 750,318 is 6 .
LCM of 20,1712 is 8560.
The greatest common factor of 750/20,318/1712 = [GCF of 750,318]/[LCM of 20,1712]= 6/8560
Therefore, the GCF of 750/20,318/1712 is 6/8560.
To find the highest common factor of 750,318, we have to find the factors of both numbers and list the highest common factor.
The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 750,318 is 6.
Lets's calculate GCF of 750,318
| 2 | 750, 318 |
| 3 | 375, 159 |
| 125, 53 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 750,318 By Matching Biggest Common Factor Method
Now, list down the factors of 750
:1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 750,318 . The biggest common factor number is the GCF number.
So the greatest common factor 750,318 is 6.
Lets's calculate LCM of 20,1712
| 2 | 20, 1712 |
| 2 | 10, 856 |
| 5, 428 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 428 = 8560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/8560
Therefore, the GCF of Fractions 750/20,318/1712 is 6/8560
Least Common Multiple of 20,1712 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 20,1712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,1712) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(20,1712) x common factors =4 x 1 = 4
LCM(20,1712) = ( 20 × 1712 ) / 4
LCM(20,1712) = 34240 / 4
LCM(20,1712) = 8560
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FAQs on GCF of Fractions of 750/20, 318/1712
1. What is the HCF of 750,318?
The HCF of 750,318 is 6
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 750/20, 318/1712?
Answer: GCF of Numerators as per given numbers 750/20, 318/1712 is
GCF of Numerators i.e. for 750,318 is 6
LCM of denominators i.e. for 20,1712 is 8560.
Thus, GCF of Fractions is 6/8560.Finally, GCF of Fractions for 750/20, 318/1712 is 6/8560.