GCF of 6405/688, 8784/921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6405/688, 8784/921 i.e 183/633648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6405/688, 8784/921.
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 6405/688,8784/921?
Given fractions are 6405/688,8784/921
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 6405/688,8784/921, numerators are 6405,8784
Denominators are 688,921
The GCF of 6405,8784 is 183 .
LCM of 688,921 is 633648.
The greatest common factor of 6405/688,8784/921 = [GCF of 6405,8784]/[LCM of 688,921]= 183/633648
Therefore, the GCF of 6405/688,8784/921 is 183/633648.
To find the highest common factor of 6405,8784, we have to find the factors of both numbers and list the highest common factor.
The factors of 6405 are 1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405
The factors of 8784 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392, 8784
The HCF of 6405,8784 is 183.
Lets's calculate GCF of 6405,8784
| 3 | 6405, 8784 |
| 61 | 2135, 2928 |
| 35, 48 |
∴ So the GCF of the given numbers is 3 x 61 = 183
Greatest Common Factor of 6405,8784 By Matching Biggest Common Factor Method
Now, list down the factors of 6405
:1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405
Now, list down the factors of 8784
:1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784
Greatest Common Factor
We found the factors 6405,8784 . The biggest common factor number is the GCF number.
So the greatest common factor 6405,8784 is 183.
Lets's calculate LCM of 688,921
Given numbers has no common factors except 1. So, there LCM is their product i.e 633648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 183/633648
Therefore, the GCF of Fractions 6405/688,8784/921 is 183/633648
Least Common Multiple of 688,921 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 688,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,921) x common factors =1 x 1 = 1
LCM(688,921) = ( 688 × 921 ) / 1
LCM(688,921) = 633648 / 1
LCM(688,921) = 633648
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FAQs on GCF of Fractions of 6405/688, 8784/921
1. What is the HCF of 6405,8784?
The HCF of 6405,8784 is 183
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 6405/688, 8784/921?
Answer: GCF of Numerators as per given numbers 6405/688, 8784/921 is
GCF of Numerators i.e. for 6405,8784 is 183
LCM of denominators i.e. for 688,921 is 633648.
Thus, GCF of Fractions is 183/633648.Finally, GCF of Fractions for 6405/688, 8784/921 is 183/633648.