GCF of 8787/786, 7998/324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8787/786, 7998/324 i.e 3/42444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8787/786, 7998/324.
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 8787/786,7998/324?
Given fractions are 8787/786,7998/324
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 8787/786,7998/324, numerators are 8787,7998
Denominators are 786,324
The GCF of 8787,7998 is 3 .
LCM of 786,324 is 42444.
The greatest common factor of 8787/786,7998/324 = [GCF of 8787,7998]/[LCM of 786,324]= 3/42444
Therefore, the GCF of 8787/786,7998/324 is 3/42444.
To find the highest common factor of 8787,7998, we have to find the factors of both numbers and list the highest common factor.
The factors of 8787 are 1, 3, 29, 87, 101, 303, 2929, 8787
The factors of 7998 are 1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998
The HCF of 8787,7998 is 3.
Lets's calculate GCF of 8787,7998
| 3 | 8787, 7998 |
| 2929, 2666 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8787,7998 By Matching Biggest Common Factor Method
Now, list down the factors of 8787
:1,3,29,87,101,303,2929,8787
Now, list down the factors of 7998
:1,2,3,6,31,43,62,86,93,129,186,258,1333,2666,3999,7998
Greatest Common Factor
We found the factors 8787,7998 . The biggest common factor number is the GCF number.
So the greatest common factor 8787,7998 is 3.
Lets's calculate LCM of 786,324
| 2 | 786, 324 |
| 3 | 393, 162 |
| 131, 54 |
∴ So the LCM of the given numbers is 2 x 3 x 131 x 54 = 42444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/42444
Therefore, the GCF of Fractions 8787/786,7998/324 is 3/42444
Least Common Multiple of 786,324 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 786,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,324) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(786,324) x common factors =6 x 1 = 6
LCM(786,324) = ( 786 × 324 ) / 6
LCM(786,324) = 254664 / 6
LCM(786,324) = 42444
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FAQs on GCF of Fractions of 8787/786, 7998/324
1. What is the HCF of 8787,7998?
The HCF of 8787,7998 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 8787/786, 7998/324?
Answer: GCF of Numerators as per given numbers 8787/786, 7998/324 is
GCF of Numerators i.e. for 8787,7998 is 3
LCM of denominators i.e. for 786,324 is 42444.
Thus, GCF of Fractions is 3/42444.Finally, GCF of Fractions for 8787/786, 7998/324 is 3/42444.