GCF of 8663/966, 1344/7188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8663/966, 1344/7188 i.e 1/1157268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8663/966, 1344/7188.
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 8663/966,1344/7188?
Given fractions are 8663/966,1344/7188
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 8663/966,1344/7188, numerators are 8663,1344
Denominators are 966,7188
The GCF of 8663,1344 is 1 .
LCM of 966,7188 is 1157268.
The greatest common factor of 8663/966,1344/7188 = [GCF of 8663,1344]/[LCM of 966,7188]= 1/1157268
Therefore, the GCF of 8663/966,1344/7188 is 1/1157268.
To find the highest common factor of 8663,1344, we have to find the factors of both numbers and list the highest common factor.
The factors of 8663 are 1, 8663
The factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344
The HCF of 8663,1344 is 1.
Lets's calculate GCF of 8663,1344
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8663,1344 By Matching Biggest Common Factor Method
Now, list down the factors of 8663
:1,8663
Now, list down the factors of 1344
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,168,192,224,336,448,672,1344
Greatest Common Factor
We found the factors 8663,1344 . The biggest common factor number is the GCF number.
So the greatest common factor 8663,1344 is 1.
Lets's calculate LCM of 966,7188
| 2 | 966, 7188 |
| 3 | 483, 3594 |
| 161, 1198 |
∴ So the LCM of the given numbers is 2 x 3 x 161 x 1198 = 1157268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1157268
Therefore, the GCF of Fractions 8663/966,1344/7188 is 1/1157268
Least Common Multiple of 966,7188 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 966,7188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,7188) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(966,7188) x common factors =6 x 1 = 6
LCM(966,7188) = ( 966 × 7188 ) / 6
LCM(966,7188) = 6943608 / 6
LCM(966,7188) = 1157268
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FAQs on GCF of Fractions of 8663/966, 1344/7188
1. What is the HCF of 8663,1344?
The HCF of 8663,1344 is 1
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 8663/966, 1344/7188?
Answer: GCF of Numerators as per given numbers 8663/966, 1344/7188 is
GCF of Numerators i.e. for 8663,1344 is 1
LCM of denominators i.e. for 966,7188 is 1157268.
Thus, GCF of Fractions is 1/1157268.Finally, GCF of Fractions for 8663/966, 1344/7188 is 1/1157268.