GCF of 1660/596, 6867/3074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1660/596, 6867/3074 i.e 1/916052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1660/596, 6867/3074.
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 1660/596,6867/3074?
Given fractions are 1660/596,6867/3074
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 1660/596,6867/3074, numerators are 1660,6867
Denominators are 596,3074
The GCF of 1660,6867 is 1 .
LCM of 596,3074 is 916052.
The greatest common factor of 1660/596,6867/3074 = [GCF of 1660,6867]/[LCM of 596,3074]= 1/916052
Therefore, the GCF of 1660/596,6867/3074 is 1/916052.
To find the highest common factor of 1660,6867, we have to find the factors of both numbers and list the highest common factor.
The factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660
The factors of 6867 are 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867
The HCF of 1660,6867 is 1.
Lets's calculate GCF of 1660,6867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1660,6867 By Matching Biggest Common Factor Method
Now, list down the factors of 1660
:1,2,4,5,10,20,83,166,332,415,830,1660
Now, list down the factors of 6867
:1,3,7,9,21,63,109,327,763,981,2289,6867
Greatest Common Factor
We found the factors 1660,6867 . The biggest common factor number is the GCF number.
So the greatest common factor 1660,6867 is 1.
Lets's calculate LCM of 596,3074
| 2 | 596, 3074 |
| 298, 1537 |
∴ So the LCM of the given numbers is 2 x 298 x 1537 = 916052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/916052
Therefore, the GCF of Fractions 1660/596,6867/3074 is 1/916052
Least Common Multiple of 596,3074 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 596,3074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,3074) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,3074) x common factors =2 x 1 = 2
LCM(596,3074) = ( 596 × 3074 ) / 2
LCM(596,3074) = 1832104 / 2
LCM(596,3074) = 916052
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FAQs on GCF of Fractions of 1660/596, 6867/3074
1. What is the HCF of 1660,6867?
The HCF of 1660,6867 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 1660/596, 6867/3074?
Answer: GCF of Numerators as per given numbers 1660/596, 6867/3074 is
GCF of Numerators i.e. for 1660,6867 is 1
LCM of denominators i.e. for 596,3074 is 916052.
Thus, GCF of Fractions is 1/916052.Finally, GCF of Fractions for 1660/596, 6867/3074 is 1/916052.