GCF of 6986/539, 4300/5967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6986/539, 4300/5967 i.e 2/3216213 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6986/539, 4300/5967.
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 6986/539,4300/5967?
Given fractions are 6986/539,4300/5967
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 6986/539,4300/5967, numerators are 6986,4300
Denominators are 539,5967
The GCF of 6986,4300 is 2 .
LCM of 539,5967 is 3216213.
The greatest common factor of 6986/539,4300/5967 = [GCF of 6986,4300]/[LCM of 539,5967]= 2/3216213
Therefore, the GCF of 6986/539,4300/5967 is 2/3216213.
To find the highest common factor of 6986,4300, we have to find the factors of both numbers and list the highest common factor.
The factors of 6986 are 1, 2, 7, 14, 499, 998, 3493, 6986
The factors of 4300 are 1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300
The HCF of 6986,4300 is 2.
Lets's calculate GCF of 6986,4300
| 2 | 6986, 4300 |
| 3493, 2150 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6986,4300 By Matching Biggest Common Factor Method
Now, list down the factors of 6986
:1,2,7,14,499,998,3493,6986
Now, list down the factors of 4300
:1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300
Greatest Common Factor
We found the factors 6986,4300 . The biggest common factor number is the GCF number.
So the greatest common factor 6986,4300 is 2.
Lets's calculate LCM of 539,5967
Given numbers has no common factors except 1. So, there LCM is their product i.e 3216213
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3216213
Therefore, the GCF of Fractions 6986/539,4300/5967 is 2/3216213
Least Common Multiple of 539,5967 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 539,5967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,5967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,5967) x common factors =1 x 1 = 1
LCM(539,5967) = ( 539 × 5967 ) / 1
LCM(539,5967) = 3216213 / 1
LCM(539,5967) = 3216213
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FAQs on GCF of Fractions of 6986/539, 4300/5967
1. What is the HCF of 6986,4300?
The HCF of 6986,4300 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 6986/539, 4300/5967?
Answer: GCF of Numerators as per given numbers 6986/539, 4300/5967 is
GCF of Numerators i.e. for 6986,4300 is 2
LCM of denominators i.e. for 539,5967 is 3216213.
Thus, GCF of Fractions is 2/3216213.Finally, GCF of Fractions for 6986/539, 4300/5967 is 2/3216213.