GCF of 660/846, 3676/972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 660/846, 3676/972 i.e 4/45684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/846, 3676/972.
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 660/846,3676/972?
Given fractions are 660/846,3676/972
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 660/846,3676/972, numerators are 660,3676
Denominators are 846,972
The GCF of 660,3676 is 4 .
LCM of 846,972 is 45684.
The greatest common factor of 660/846,3676/972 = [GCF of 660,3676]/[LCM of 846,972]= 4/45684
Therefore, the GCF of 660/846,3676/972 is 4/45684.
To find the highest common factor of 660,3676, we have to find the factors of both numbers and list the highest common factor.
The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
The factors of 3676 are 1, 2, 4, 919, 1838, 3676
The HCF of 660,3676 is 4.
Lets's calculate GCF of 660,3676
| 2 | 660, 3676 |
| 2 | 330, 1838 |
| 165, 919 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 660,3676 By Matching Biggest Common Factor Method
Now, list down the factors of 660
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Now, list down the factors of 3676
:1,2,4,919,1838,3676
Greatest Common Factor
We found the factors 660,3676 . The biggest common factor number is the GCF number.
So the greatest common factor 660,3676 is 4.
Lets's calculate LCM of 846,972
| 2 | 846, 972 |
| 3 | 423, 486 |
| 3 | 141, 162 |
| 47, 54 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 47 x 54 = 45684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/45684
Therefore, the GCF of Fractions 660/846,3676/972 is 4/45684
Least Common Multiple of 846,972 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 846,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,972) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(846,972) x common factors =18 x 1 = 18
LCM(846,972) = ( 846 × 972 ) / 18
LCM(846,972) = 822312 / 18
LCM(846,972) = 45684
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FAQs on GCF of Fractions of 660/846, 3676/972
1. What is the HCF of 660,3676?
The HCF of 660,3676 is 4
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 660/846, 3676/972?
Answer: GCF of Numerators as per given numbers 660/846, 3676/972 is
GCF of Numerators i.e. for 660,3676 is 4
LCM of denominators i.e. for 846,972 is 45684.
Thus, GCF of Fractions is 4/45684.Finally, GCF of Fractions for 660/846, 3676/972 is 4/45684.