GCF of 8688/692, 2640/8082
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8688/692, 2640/8082 i.e 48/2796372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8688/692, 2640/8082.
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 8688/692,2640/8082?
Given fractions are 8688/692,2640/8082
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 8688/692,2640/8082, numerators are 8688,2640
Denominators are 692,8082
The GCF of 8688,2640 is 48 .
LCM of 692,8082 is 2796372.
The greatest common factor of 8688/692,2640/8082 = [GCF of 8688,2640]/[LCM of 692,8082]= 48/2796372
Therefore, the GCF of 8688/692,2640/8082 is 48/2796372.
To find the highest common factor of 8688,2640, we have to find the factors of both numbers and list the highest common factor.
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 factors of 2640 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640
The HCF of 8688,2640 is 48.
Lets's calculate GCF of 8688,2640
| 2 | 8688, 2640 |
| 2 | 4344, 1320 |
| 2 | 2172, 660 |
| 2 | 1086, 330 |
| 3 | 543, 165 |
| 181, 55 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 8688,2640 By Matching Biggest Common Factor Method
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
Now, list down the factors of 2640
:1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640
Greatest Common Factor
We found the factors 8688,2640 . The biggest common factor number is the GCF number.
So the greatest common factor 8688,2640 is 48.
Lets's calculate LCM of 692,8082
| 2 | 692, 8082 |
| 346, 4041 |
∴ So the LCM of the given numbers is 2 x 346 x 4041 = 2796372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/2796372
Therefore, the GCF of Fractions 8688/692,2640/8082 is 48/2796372
Least Common Multiple of 692,8082 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 692,8082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,8082) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(692,8082) x common factors =2 x 1 = 2
LCM(692,8082) = ( 692 × 8082 ) / 2
LCM(692,8082) = 5592744 / 2
LCM(692,8082) = 2796372
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FAQs on GCF of Fractions of 8688/692, 2640/8082
1. What is the HCF of 8688,2640?
The HCF of 8688,2640 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 8688/692, 2640/8082?
Answer: GCF of Numerators as per given numbers 8688/692, 2640/8082 is
GCF of Numerators i.e. for 8688,2640 is 48
LCM of denominators i.e. for 692,8082 is 2796372.
Thus, GCF of Fractions is 48/2796372.Finally, GCF of Fractions for 8688/692, 2640/8082 is 48/2796372.