GCF of 4786/250, 6979/4349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4786/250, 6979/4349 i.e 1/1087250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4786/250, 6979/4349.
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 4786/250,6979/4349?
Given fractions are 4786/250,6979/4349
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 4786/250,6979/4349, numerators are 4786,6979
Denominators are 250,4349
The GCF of 4786,6979 is 1 .
LCM of 250,4349 is 1087250.
The greatest common factor of 4786/250,6979/4349 = [GCF of 4786,6979]/[LCM of 250,4349]= 1/1087250
Therefore, the GCF of 4786/250,6979/4349 is 1/1087250.
To find the highest common factor of 4786,6979, we have to find the factors of both numbers and list the highest common factor.
The factors of 4786 are 1, 2, 2393, 4786
The factors of 6979 are 1, 7, 997, 6979
The HCF of 4786,6979 is 1.
Lets's calculate GCF of 4786,6979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4786,6979 By Matching Biggest Common Factor Method
Now, list down the factors of 4786
:1,2,2393,4786
Now, list down the factors of 6979
:1,7,997,6979
Greatest Common Factor
We found the factors 4786,6979 . The biggest common factor number is the GCF number.
So the greatest common factor 4786,6979 is 1.
Lets's calculate LCM of 250,4349
Given numbers has no common factors except 1. So, there LCM is their product i.e 1087250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1087250
Therefore, the GCF of Fractions 4786/250,6979/4349 is 1/1087250
Least Common Multiple of 250,4349 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 250,4349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,4349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,4349) x common factors =1 x 1 = 1
LCM(250,4349) = ( 250 × 4349 ) / 1
LCM(250,4349) = 1087250 / 1
LCM(250,4349) = 1087250
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FAQs on GCF of Fractions of 4786/250, 6979/4349
1. What is the HCF of 4786,6979?
The HCF of 4786,6979 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 4786/250, 6979/4349?
Answer: GCF of Numerators as per given numbers 4786/250, 6979/4349 is
GCF of Numerators i.e. for 4786,6979 is 1
LCM of denominators i.e. for 250,4349 is 1087250.
Thus, GCF of Fractions is 1/1087250.Finally, GCF of Fractions for 4786/250, 6979/4349 is 1/1087250.