GCF of 660/425, 991/920, 175/276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 660/425, 991/920, 175/276 i.e 1/234600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/425, 991/920, 175/276.
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 660/425,991/920,175/276?
Given fractions are 660/425,991/920,175/276
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 660/425,991/920,175/276, numerators are 660,991,175
Denominators are 425,920,276
The GCF of 660,991,175 is 1 .
LCM of 425,920,276 is 234600.
The greatest common factor of 660/425,991/920,175/276 = [GCF of 660,991,175]/[LCM of 425,920,276]= 1/234600
Therefore, the GCF of 660/425,991/920,175/276 is 1/234600.
To find the highest common factor of 660,991,175, 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 991 are 1, 991
The factors of 175 are 1, 5, 7, 25, 35, 175
The HCF of 660,991,175 is 1.
Lets's calculate GCF of 660,991,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 660,991,175 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 991
:1,991
Now, list down the factors of 175
:1,5,7,25,35,175
Greatest Common Factor
We found the factors 660,991,175 . The biggest common factor number is the GCF number.
So the greatest common factor 660,991,175 is 1.
Lets's calculate LCM of 425,920,276
| 2 | 425, 920, 276 |
| 2 | 425, 460, 138 |
| 5 | 425, 230, 69 |
| 23 | 85, 46, 69 |
| 85, 2, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 85 x 2 x 3 = 234600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234600
Therefore, the GCF of Fractions 660/425,991/920,175/276 is 1/234600
Least Common Multiple of 425,920,276 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 425,920,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,920,276) = 1
common factors(in case of two or more numbers have common factors) = 460
GCF(425,920,276) x common factors =1 x 460 = 460
LCM(425,920,276) = ( 425 × 920 × 276 ) / 460
LCM(425,920,276) = 107916000 / 460
LCM(425,920,276) = 234600
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FAQs on GCF of Fractions of 660/425, 991/920, 175/276
1. What is the HCF of 660,991,175?
The HCF of 660,991,175 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 660/425, 991/920, 175/276?
Answer: GCF of Numerators as per given numbers 660/425, 991/920, 175/276 is
GCF of Numerators i.e. for 660,991,175 is 1
LCM of denominators i.e. for 425,920,276 is 234600.
Thus, GCF of Fractions is 1/234600.Finally, GCF of Fractions for 660/425, 991/920, 175/276 is 1/234600.