GCF of 9087/872, 7770/8739
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9087/872, 7770/8739 i.e 3/7620408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9087/872, 7770/8739.
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 9087/872,7770/8739?
Given fractions are 9087/872,7770/8739
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 9087/872,7770/8739, numerators are 9087,7770
Denominators are 872,8739
The GCF of 9087,7770 is 3 .
LCM of 872,8739 is 7620408.
The greatest common factor of 9087/872,7770/8739 = [GCF of 9087,7770]/[LCM of 872,8739]= 3/7620408
Therefore, the GCF of 9087/872,7770/8739 is 3/7620408.
To find the highest common factor of 9087,7770, we have to find the factors of both numbers and list the highest common factor.
The factors of 9087 are 1, 3, 13, 39, 233, 699, 3029, 9087
The factors of 7770 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 70, 74, 105, 111, 185, 210, 222, 259, 370, 518, 555, 777, 1110, 1295, 1554, 2590, 3885, 7770
The HCF of 9087,7770 is 3.
Lets's calculate GCF of 9087,7770
| 3 | 9087, 7770 |
| 3029, 2590 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9087,7770 By Matching Biggest Common Factor Method
Now, list down the factors of 9087
:1,3,13,39,233,699,3029,9087
Now, list down the factors of 7770
:1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770
Greatest Common Factor
We found the factors 9087,7770 . The biggest common factor number is the GCF number.
So the greatest common factor 9087,7770 is 3.
Lets's calculate LCM of 872,8739
Given numbers has no common factors except 1. So, there LCM is their product i.e 7620408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7620408
Therefore, the GCF of Fractions 9087/872,7770/8739 is 3/7620408
Least Common Multiple of 872,8739 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 872,8739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,8739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,8739) x common factors =1 x 1 = 1
LCM(872,8739) = ( 872 × 8739 ) / 1
LCM(872,8739) = 7620408 / 1
LCM(872,8739) = 7620408
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FAQs on GCF of Fractions of 9087/872, 7770/8739
1. What is the HCF of 9087,7770?
The HCF of 9087,7770 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 9087/872, 7770/8739?
Answer: GCF of Numerators as per given numbers 9087/872, 7770/8739 is
GCF of Numerators i.e. for 9087,7770 is 3
LCM of denominators i.e. for 872,8739 is 7620408.
Thus, GCF of Fractions is 3/7620408.Finally, GCF of Fractions for 9087/872, 7770/8739 is 3/7620408.