GCF of 8340/747, 1660/1597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8340/747, 1660/1597 i.e 20/1192959 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8340/747, 1660/1597.
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 8340/747,1660/1597?
Given fractions are 8340/747,1660/1597
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 8340/747,1660/1597, numerators are 8340,1660
Denominators are 747,1597
The GCF of 8340,1660 is 20 .
LCM of 747,1597 is 1192959.
The greatest common factor of 8340/747,1660/1597 = [GCF of 8340,1660]/[LCM of 747,1597]= 20/1192959
Therefore, the GCF of 8340/747,1660/1597 is 20/1192959.
To find the highest common factor of 8340,1660, we have to find the factors of both numbers and list the highest common factor.
The factors of 8340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340
The factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660
The HCF of 8340,1660 is 20.
Lets's calculate GCF of 8340,1660
| 2 | 8340, 1660 |
| 2 | 4170, 830 |
| 5 | 2085, 415 |
| 417, 83 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 8340,1660 By Matching Biggest Common Factor Method
Now, list down the factors of 8340
:1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340
Now, list down the factors of 1660
:1,2,4,5,10,20,83,166,332,415,830,1660
Greatest Common Factor
We found the factors 8340,1660 . The biggest common factor number is the GCF number.
So the greatest common factor 8340,1660 is 20.
Lets's calculate LCM of 747,1597
Given numbers has no common factors except 1. So, there LCM is their product i.e 1192959
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1192959
Therefore, the GCF of Fractions 8340/747,1660/1597 is 20/1192959
Least Common Multiple of 747,1597 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 747,1597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,1597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,1597) x common factors =1 x 1 = 1
LCM(747,1597) = ( 747 × 1597 ) / 1
LCM(747,1597) = 1192959 / 1
LCM(747,1597) = 1192959
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FAQs on GCF of Fractions of 8340/747, 1660/1597
1. What is the HCF of 8340,1660?
The HCF of 8340,1660 is 20
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 8340/747, 1660/1597?
Answer: GCF of Numerators as per given numbers 8340/747, 1660/1597 is
GCF of Numerators i.e. for 8340,1660 is 20
LCM of denominators i.e. for 747,1597 is 1192959.
Thus, GCF of Fractions is 20/1192959.Finally, GCF of Fractions for 8340/747, 1660/1597 is 20/1192959.