GCF of 660/27, 880/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 660/27, 880/708 i.e 220/6372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/27, 880/708.
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 660/27,880/708?
Given fractions are 660/27,880/708
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 660/27,880/708, numerators are 660,880
Denominators are 27,708
The GCF of 660,880 is 220 .
LCM of 27,708 is 6372.
The greatest common factor of 660/27,880/708 = [GCF of 660,880]/[LCM of 27,708]= 220/6372
Therefore, the GCF of 660/27,880/708 is 220/6372.
To find the highest common factor of 660,880, 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 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 660,880 is 220.
Lets's calculate GCF of 660,880
| 2 | 660, 880 |
| 2 | 330, 440 |
| 5 | 165, 220 |
| 11 | 33, 44 |
| 3, 4 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 11 = 220
Greatest Common Factor of 660,880 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 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 660,880 . The biggest common factor number is the GCF number.
So the greatest common factor 660,880 is 220.
Lets's calculate LCM of 27,708
| 3 | 27, 708 |
| 9, 236 |
∴ So the LCM of the given numbers is 3 x 9 x 236 = 6372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 220/6372
Therefore, the GCF of Fractions 660/27,880/708 is 220/6372
Least Common Multiple of 27,708 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 27,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,708) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(27,708) x common factors =3 x 1 = 3
LCM(27,708) = ( 27 × 708 ) / 3
LCM(27,708) = 19116 / 3
LCM(27,708) = 6372
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FAQs on GCF of Fractions of 660/27, 880/708
1. What is the HCF of 660,880?
The HCF of 660,880 is 220
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 660/27, 880/708?
Answer: GCF of Numerators as per given numbers 660/27, 880/708 is
GCF of Numerators i.e. for 660,880 is 220
LCM of denominators i.e. for 27,708 is 6372.
Thus, GCF of Fractions is 220/6372.Finally, GCF of Fractions for 660/27, 880/708 is 220/6372.