GCF of 1712/787, 1870/318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1712/787, 1870/318 i.e 2/250266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1712/787, 1870/318.
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 1712/787,1870/318?
Given fractions are 1712/787,1870/318
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 1712/787,1870/318, numerators are 1712,1870
Denominators are 787,318
The GCF of 1712,1870 is 2 .
LCM of 787,318 is 250266.
The greatest common factor of 1712/787,1870/318 = [GCF of 1712,1870]/[LCM of 787,318]= 2/250266
Therefore, the GCF of 1712/787,1870/318 is 2/250266.
To find the highest common factor of 1712,1870, we have to find the factors of both numbers and list the highest common factor.
The factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712
The factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870
The HCF of 1712,1870 is 2.
Lets's calculate GCF of 1712,1870
| 2 | 1712, 1870 |
| 856, 935 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1712,1870 By Matching Biggest Common Factor Method
Now, list down the factors of 1712
:1,2,4,8,16,107,214,428,856,1712
Now, list down the factors of 1870
:1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870
Greatest Common Factor
We found the factors 1712,1870 . The biggest common factor number is the GCF number.
So the greatest common factor 1712,1870 is 2.
Lets's calculate LCM of 787,318
Given numbers has no common factors except 1. So, there LCM is their product i.e 250266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/250266
Therefore, the GCF of Fractions 1712/787,1870/318 is 2/250266
Least Common Multiple of 787,318 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 787,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,318) x common factors =1 x 1 = 1
LCM(787,318) = ( 787 × 318 ) / 1
LCM(787,318) = 250266 / 1
LCM(787,318) = 250266
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FAQs on GCF of Fractions of 1712/787, 1870/318
1. What is the HCF of 1712,1870?
The HCF of 1712,1870 is 2
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 1712/787, 1870/318?
Answer: GCF of Numerators as per given numbers 1712/787, 1870/318 is
GCF of Numerators i.e. for 1712,1870 is 2
LCM of denominators i.e. for 787,318 is 250266.
Thus, GCF of Fractions is 2/250266.Finally, GCF of Fractions for 1712/787, 1870/318 is 2/250266.