GCF of 8506/588, 3499/1420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8506/588, 3499/1420 i.e 1/208740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8506/588, 3499/1420.
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 8506/588,3499/1420?
Given fractions are 8506/588,3499/1420
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 8506/588,3499/1420, numerators are 8506,3499
Denominators are 588,1420
The GCF of 8506,3499 is 1 .
LCM of 588,1420 is 208740.
The greatest common factor of 8506/588,3499/1420 = [GCF of 8506,3499]/[LCM of 588,1420]= 1/208740
Therefore, the GCF of 8506/588,3499/1420 is 1/208740.
To find the highest common factor of 8506,3499, we have to find the factors of both numbers and list the highest common factor.
The factors of 8506 are 1, 2, 4253, 8506
The factors of 3499 are 1, 3499
The HCF of 8506,3499 is 1.
Lets's calculate GCF of 8506,3499
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8506,3499 By Matching Biggest Common Factor Method
Now, list down the factors of 8506
:1,2,4253,8506
Now, list down the factors of 3499
:1,3499
Greatest Common Factor
We found the factors 8506,3499 . The biggest common factor number is the GCF number.
So the greatest common factor 8506,3499 is 1.
Lets's calculate LCM of 588,1420
| 2 | 588, 1420 |
| 2 | 294, 710 |
| 147, 355 |
∴ So the LCM of the given numbers is 2 x 2 x 147 x 355 = 208740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208740
Therefore, the GCF of Fractions 8506/588,3499/1420 is 1/208740
Least Common Multiple of 588,1420 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 588,1420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,1420) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(588,1420) x common factors =4 x 1 = 4
LCM(588,1420) = ( 588 × 1420 ) / 4
LCM(588,1420) = 834960 / 4
LCM(588,1420) = 208740
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FAQs on GCF of Fractions of 8506/588, 3499/1420
1. What is the HCF of 8506,3499?
The HCF of 8506,3499 is 1
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 8506/588, 3499/1420?
Answer: GCF of Numerators as per given numbers 8506/588, 3499/1420 is
GCF of Numerators i.e. for 8506,3499 is 1
LCM of denominators i.e. for 588,1420 is 208740.
Thus, GCF of Fractions is 1/208740.Finally, GCF of Fractions for 8506/588, 3499/1420 is 1/208740.