GCF of 7008/666, 7173/786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7008/666, 7173/786 i.e 3/87246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7008/666, 7173/786.
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 7008/666,7173/786?
Given fractions are 7008/666,7173/786
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 7008/666,7173/786, numerators are 7008,7173
Denominators are 666,786
The GCF of 7008,7173 is 3 .
LCM of 666,786 is 87246.
The greatest common factor of 7008/666,7173/786 = [GCF of 7008,7173]/[LCM of 666,786]= 3/87246
Therefore, the GCF of 7008/666,7173/786 is 3/87246.
To find the highest common factor of 7008,7173, we have to find the factors of both numbers and list the highest common factor.
The factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008
The factors of 7173 are 1, 3, 9, 797, 2391, 7173
The HCF of 7008,7173 is 3.
Lets's calculate GCF of 7008,7173
| 3 | 7008, 7173 |
| 2336, 2391 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7008,7173 By Matching Biggest Common Factor Method
Now, list down the factors of 7008
:1,2,3,4,6,8,12,16,24,32,48,73,96,146,219,292,438,584,876,1168,1752,2336,3504,7008
Now, list down the factors of 7173
:1,3,9,797,2391,7173
Greatest Common Factor
We found the factors 7008,7173 . The biggest common factor number is the GCF number.
So the greatest common factor 7008,7173 is 3.
Lets's calculate LCM of 666,786
| 2 | 666, 786 |
| 3 | 333, 393 |
| 111, 131 |
∴ So the LCM of the given numbers is 2 x 3 x 111 x 131 = 87246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/87246
Therefore, the GCF of Fractions 7008/666,7173/786 is 3/87246
Least Common Multiple of 666,786 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 666,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,786) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(666,786) x common factors =6 x 1 = 6
LCM(666,786) = ( 666 × 786 ) / 6
LCM(666,786) = 523476 / 6
LCM(666,786) = 87246
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FAQs on GCF of Fractions of 7008/666, 7173/786
1. What is the HCF of 7008,7173?
The HCF of 7008,7173 is 3
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 7008/666, 7173/786?
Answer: GCF of Numerators as per given numbers 7008/666, 7173/786 is
GCF of Numerators i.e. for 7008,7173 is 3
LCM of denominators i.e. for 666,786 is 87246.
Thus, GCF of Fractions is 3/87246.Finally, GCF of Fractions for 7008/666, 7173/786 is 3/87246.