GCF of 8764/357, 7760/9384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8764/357, 7760/9384 i.e 4/65688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8764/357, 7760/9384.
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 8764/357,7760/9384?
Given fractions are 8764/357,7760/9384
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 8764/357,7760/9384, numerators are 8764,7760
Denominators are 357,9384
The GCF of 8764,7760 is 4 .
LCM of 357,9384 is 65688.
The greatest common factor of 8764/357,7760/9384 = [GCF of 8764,7760]/[LCM of 357,9384]= 4/65688
Therefore, the GCF of 8764/357,7760/9384 is 4/65688.
To find the highest common factor of 8764,7760, we have to find the factors of both numbers and list the highest common factor.
The factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764
The factors of 7760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 97, 194, 388, 485, 776, 970, 1552, 1940, 3880, 7760
The HCF of 8764,7760 is 4.
Lets's calculate GCF of 8764,7760
| 2 | 8764, 7760 |
| 2 | 4382, 3880 |
| 2191, 1940 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8764,7760 By Matching Biggest Common Factor Method
Now, list down the factors of 8764
:1,2,4,7,14,28,313,626,1252,2191,4382,8764
Now, list down the factors of 7760
:1,2,4,5,8,10,16,20,40,80,97,194,388,485,776,970,1552,1940,3880,7760
Greatest Common Factor
We found the factors 8764,7760 . The biggest common factor number is the GCF number.
So the greatest common factor 8764,7760 is 4.
Lets's calculate LCM of 357,9384
| 3 | 357, 9384 |
| 17 | 119, 3128 |
| 7, 184 |
∴ So the LCM of the given numbers is 3 x 17 x 7 x 184 = 65688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/65688
Therefore, the GCF of Fractions 8764/357,7760/9384 is 4/65688
Least Common Multiple of 357,9384 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 357,9384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,9384) = 51
common factors(in case of two or more numbers have common factors) = 1
GCF(357,9384) x common factors =51 x 1 = 51
LCM(357,9384) = ( 357 × 9384 ) / 51
LCM(357,9384) = 3350088 / 51
LCM(357,9384) = 65688
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FAQs on GCF of Fractions of 8764/357, 7760/9384
1. What is the HCF of 8764,7760?
The HCF of 8764,7760 is 4
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 8764/357, 7760/9384?
Answer: GCF of Numerators as per given numbers 8764/357, 7760/9384 is
GCF of Numerators i.e. for 8764,7760 is 4
LCM of denominators i.e. for 357,9384 is 65688.
Thus, GCF of Fractions is 4/65688.Finally, GCF of Fractions for 8764/357, 7760/9384 is 4/65688.