GCF of 8920/718, 1574/486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8920/718, 1574/486 i.e 2/174474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8920/718, 1574/486.
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 8920/718,1574/486?
Given fractions are 8920/718,1574/486
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 8920/718,1574/486, numerators are 8920,1574
Denominators are 718,486
The GCF of 8920,1574 is 2 .
LCM of 718,486 is 174474.
The greatest common factor of 8920/718,1574/486 = [GCF of 8920,1574]/[LCM of 718,486]= 2/174474
Therefore, the GCF of 8920/718,1574/486 is 2/174474.
To find the highest common factor of 8920,1574, we have to find the factors of both numbers and list the highest common factor.
The factors of 8920 are 1, 2, 4, 5, 8, 10, 20, 40, 223, 446, 892, 1115, 1784, 2230, 4460, 8920
The factors of 1574 are 1, 2, 787, 1574
The HCF of 8920,1574 is 2.
Lets's calculate GCF of 8920,1574
| 2 | 8920, 1574 |
| 4460, 787 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8920,1574 By Matching Biggest Common Factor Method
Now, list down the factors of 8920
:1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920
Now, list down the factors of 1574
:1,2,787,1574
Greatest Common Factor
We found the factors 8920,1574 . The biggest common factor number is the GCF number.
So the greatest common factor 8920,1574 is 2.
Lets's calculate LCM of 718,486
| 2 | 718, 486 |
| 359, 243 |
∴ So the LCM of the given numbers is 2 x 359 x 243 = 174474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/174474
Therefore, the GCF of Fractions 8920/718,1574/486 is 2/174474
Least Common Multiple of 718,486 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 718,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,486) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,486) x common factors =2 x 1 = 2
LCM(718,486) = ( 718 × 486 ) / 2
LCM(718,486) = 348948 / 2
LCM(718,486) = 174474
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FAQs on GCF of Fractions of 8920/718, 1574/486
1. What is the HCF of 8920,1574?
The HCF of 8920,1574 is 2
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 8920/718, 1574/486?
Answer: GCF of Numerators as per given numbers 8920/718, 1574/486 is
GCF of Numerators i.e. for 8920,1574 is 2
LCM of denominators i.e. for 718,486 is 174474.
Thus, GCF of Fractions is 2/174474.Finally, GCF of Fractions for 8920/718, 1574/486 is 2/174474.