GCF of 8928/278, 1086/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8928/278, 1086/326 i.e 6/45314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8928/278, 1086/326.
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 8928/278,1086/326?
Given fractions are 8928/278,1086/326
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 8928/278,1086/326, numerators are 8928,1086
Denominators are 278,326
The GCF of 8928,1086 is 6 .
LCM of 278,326 is 45314.
The greatest common factor of 8928/278,1086/326 = [GCF of 8928,1086]/[LCM of 278,326]= 6/45314
Therefore, the GCF of 8928/278,1086/326 is 6/45314.
To find the highest common factor of 8928,1086, we have to find the factors of both numbers and list the highest common factor.
The factors of 8928 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 32, 36, 48, 62, 72, 93, 96, 124, 144, 186, 248, 279, 288, 372, 496, 558, 744, 992, 1116, 1488, 2232, 2976, 4464, 8928
The factors of 1086 are 1, 2, 3, 6, 181, 362, 543, 1086
The HCF of 8928,1086 is 6.
Lets's calculate GCF of 8928,1086
| 2 | 8928, 1086 |
| 3 | 4464, 543 |
| 1488, 181 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8928,1086 By Matching Biggest Common Factor Method
Now, list down the factors of 8928
:1,2,3,4,6,8,9,12,16,18,24,31,32,36,48,62,72,93,96,124,144,186,248,279,288,372,496,558,744,992,1116,1488,2232,2976,4464,8928
Now, list down the factors of 1086
:1,2,3,6,181,362,543,1086
Greatest Common Factor
We found the factors 8928,1086 . The biggest common factor number is the GCF number.
So the greatest common factor 8928,1086 is 6.
Lets's calculate LCM of 278,326
| 2 | 278, 326 |
| 139, 163 |
∴ So the LCM of the given numbers is 2 x 139 x 163 = 45314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/45314
Therefore, the GCF of Fractions 8928/278,1086/326 is 6/45314
Least Common Multiple of 278,326 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 278,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,326) x common factors =2 x 1 = 2
LCM(278,326) = ( 278 × 326 ) / 2
LCM(278,326) = 90628 / 2
LCM(278,326) = 45314
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FAQs on GCF of Fractions of 8928/278, 1086/326
1. What is the HCF of 8928,1086?
The HCF of 8928,1086 is 6
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 8928/278, 1086/326?
Answer: GCF of Numerators as per given numbers 8928/278, 1086/326 is
GCF of Numerators i.e. for 8928,1086 is 6
LCM of denominators i.e. for 278,326 is 45314.
Thus, GCF of Fractions is 6/45314.Finally, GCF of Fractions for 8928/278, 1086/326 is 6/45314.