GCF of 8512/725, 2224/6858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8512/725, 2224/6858 i.e 16/4972050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8512/725, 2224/6858.
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 8512/725,2224/6858?
Given fractions are 8512/725,2224/6858
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 8512/725,2224/6858, numerators are 8512,2224
Denominators are 725,6858
The GCF of 8512,2224 is 16 .
LCM of 725,6858 is 4972050.
The greatest common factor of 8512/725,2224/6858 = [GCF of 8512,2224]/[LCM of 725,6858]= 16/4972050
Therefore, the GCF of 8512/725,2224/6858 is 16/4972050.
To find the highest common factor of 8512,2224, we have to find the factors of both numbers and list the highest common factor.
The factors of 8512 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133, 152, 224, 266, 304, 448, 532, 608, 1064, 1216, 2128, 4256, 8512
The factors of 2224 are 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224
The HCF of 8512,2224 is 16.
Lets's calculate GCF of 8512,2224
| 2 | 8512, 2224 |
| 2 | 4256, 1112 |
| 2 | 2128, 556 |
| 2 | 1064, 278 |
| 532, 139 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 8512,2224 By Matching Biggest Common Factor Method
Now, list down the factors of 8512
:1,2,4,7,8,14,16,19,28,32,38,56,64,76,112,133,152,224,266,304,448,532,608,1064,1216,2128,4256,8512
Now, list down the factors of 2224
:1,2,4,8,16,139,278,556,1112,2224
Greatest Common Factor
We found the factors 8512,2224 . The biggest common factor number is the GCF number.
So the greatest common factor 8512,2224 is 16.
Lets's calculate LCM of 725,6858
Given numbers has no common factors except 1. So, there LCM is their product i.e 4972050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/4972050
Therefore, the GCF of Fractions 8512/725,2224/6858 is 16/4972050
Least Common Multiple of 725,6858 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 725,6858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,6858) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,6858) x common factors =1 x 1 = 1
LCM(725,6858) = ( 725 × 6858 ) / 1
LCM(725,6858) = 4972050 / 1
LCM(725,6858) = 4972050
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FAQs on GCF of Fractions of 8512/725, 2224/6858
1. What is the HCF of 8512,2224?
The HCF of 8512,2224 is 16
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 8512/725, 2224/6858?
Answer: GCF of Numerators as per given numbers 8512/725, 2224/6858 is
GCF of Numerators i.e. for 8512,2224 is 16
LCM of denominators i.e. for 725,6858 is 4972050.
Thus, GCF of Fractions is 16/4972050.Finally, GCF of Fractions for 8512/725, 2224/6858 is 16/4972050.