GCF of 8800/949, 1360/8857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8800/949, 1360/8857 i.e 80/8405293 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8800/949, 1360/8857.
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 8800/949,1360/8857?
Given fractions are 8800/949,1360/8857
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 8800/949,1360/8857, numerators are 8800,1360
Denominators are 949,8857
The GCF of 8800,1360 is 80 .
LCM of 949,8857 is 8405293.
The greatest common factor of 8800/949,1360/8857 = [GCF of 8800,1360]/[LCM of 949,8857]= 80/8405293
Therefore, the GCF of 8800/949,1360/8857 is 80/8405293.
To find the highest common factor of 8800,1360, we have to find the factors of both numbers and list the highest common factor.
The factors of 8800 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400, 8800
The factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360
The HCF of 8800,1360 is 80.
Lets's calculate GCF of 8800,1360
| 2 | 8800, 1360 |
| 2 | 4400, 680 |
| 2 | 2200, 340 |
| 2 | 1100, 170 |
| 5 | 550, 85 |
| 110, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 = 80
Greatest Common Factor of 8800,1360 By Matching Biggest Common Factor Method
Now, list down the factors of 8800
:1,2,4,5,8,10,11,16,20,22,25,32,40,44,50,55,80,88,100,110,160,176,200,220,275,352,400,440,550,800,880,1100,1760,2200,4400,8800
Now, list down the factors of 1360
:1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360
Greatest Common Factor
We found the factors 8800,1360 . The biggest common factor number is the GCF number.
So the greatest common factor 8800,1360 is 80.
Lets's calculate LCM of 949,8857
Given numbers has no common factors except 1. So, there LCM is their product i.e 8405293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 80/8405293
Therefore, the GCF of Fractions 8800/949,1360/8857 is 80/8405293
Least Common Multiple of 949,8857 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 949,8857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,8857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,8857) x common factors =1 x 1 = 1
LCM(949,8857) = ( 949 × 8857 ) / 1
LCM(949,8857) = 8405293 / 1
LCM(949,8857) = 8405293
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8800/949, 1360/8857
1. What is the HCF of 8800,1360?
The HCF of 8800,1360 is 80
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 8800/949, 1360/8857?
Answer: GCF of Numerators as per given numbers 8800/949, 1360/8857 is
GCF of Numerators i.e. for 8800,1360 is 80
LCM of denominators i.e. for 949,8857 is 8405293.
Thus, GCF of Fractions is 80/8405293.Finally, GCF of Fractions for 8800/949, 1360/8857 is 80/8405293.