GCF of 1056/957, 8688/2668
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1056/957, 8688/2668 i.e 48/88044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1056/957, 8688/2668.
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 1056/957,8688/2668?
Given fractions are 1056/957,8688/2668
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 1056/957,8688/2668, numerators are 1056,8688
Denominators are 957,2668
The GCF of 1056,8688 is 48 .
LCM of 957,2668 is 88044.
The greatest common factor of 1056/957,8688/2668 = [GCF of 1056,8688]/[LCM of 957,2668]= 48/88044
Therefore, the GCF of 1056/957,8688/2668 is 48/88044.
To find the highest common factor of 1056,8688, we have to find the factors of both numbers and list the highest common factor.
The factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056
The factors of 8688 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688
The HCF of 1056,8688 is 48.
Lets's calculate GCF of 1056,8688
| 2 | 1056, 8688 |
| 2 | 528, 4344 |
| 2 | 264, 2172 |
| 2 | 132, 1086 |
| 3 | 66, 543 |
| 22, 181 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 1056,8688 By Matching Biggest Common Factor Method
Now, list down the factors of 1056
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,352,528,1056
Now, list down the factors of 8688
:1,2,3,4,6,8,12,16,24,48,181,362,543,724,1086,1448,2172,2896,4344,8688
Greatest Common Factor
We found the factors 1056,8688 . The biggest common factor number is the GCF number.
So the greatest common factor 1056,8688 is 48.
Lets's calculate LCM of 957,2668
| 29 | 957, 2668 |
| 33, 92 |
∴ So the LCM of the given numbers is 29 x 33 x 92 = 88044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/88044
Therefore, the GCF of Fractions 1056/957,8688/2668 is 48/88044
Least Common Multiple of 957,2668 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 957,2668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,2668) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(957,2668) x common factors =29 x 1 = 29
LCM(957,2668) = ( 957 × 2668 ) / 29
LCM(957,2668) = 2553276 / 29
LCM(957,2668) = 88044
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1056/957, 8688/2668
1. What is the HCF of 1056,8688?
The HCF of 1056,8688 is 48
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 1056/957, 8688/2668?
Answer: GCF of Numerators as per given numbers 1056/957, 8688/2668 is
GCF of Numerators i.e. for 1056,8688 is 48
LCM of denominators i.e. for 957,2668 is 88044.
Thus, GCF of Fractions is 48/88044.Finally, GCF of Fractions for 1056/957, 8688/2668 is 48/88044.