GCF of 4961/830, 8625/2059
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4961/830, 8625/2059 i.e 1/1708970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4961/830, 8625/2059.
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 4961/830,8625/2059?
Given fractions are 4961/830,8625/2059
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 4961/830,8625/2059, numerators are 4961,8625
Denominators are 830,2059
The GCF of 4961,8625 is 1 .
LCM of 830,2059 is 1708970.
The greatest common factor of 4961/830,8625/2059 = [GCF of 4961,8625]/[LCM of 830,2059]= 1/1708970
Therefore, the GCF of 4961/830,8625/2059 is 1/1708970.
To find the highest common factor of 4961,8625, we have to find the factors of both numbers and list the highest common factor.
The factors of 4961 are 1, 11, 41, 121, 451, 4961
The factors of 8625 are 1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875, 8625
The HCF of 4961,8625 is 1.
Lets's calculate GCF of 4961,8625
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4961,8625 By Matching Biggest Common Factor Method
Now, list down the factors of 4961
:1,11,41,121,451,4961
Now, list down the factors of 8625
:1,3,5,15,23,25,69,75,115,125,345,375,575,1725,2875,8625
Greatest Common Factor
We found the factors 4961,8625 . The biggest common factor number is the GCF number.
So the greatest common factor 4961,8625 is 1.
Lets's calculate LCM of 830,2059
Given numbers has no common factors except 1. So, there LCM is their product i.e 1708970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1708970
Therefore, the GCF of Fractions 4961/830,8625/2059 is 1/1708970
Least Common Multiple of 830,2059 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 830,2059 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,2059) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(830,2059) x common factors =1 x 1 = 1
LCM(830,2059) = ( 830 × 2059 ) / 1
LCM(830,2059) = 1708970 / 1
LCM(830,2059) = 1708970
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FAQs on GCF of Fractions of 4961/830, 8625/2059
1. What is the HCF of 4961,8625?
The HCF of 4961,8625 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 4961/830, 8625/2059?
Answer: GCF of Numerators as per given numbers 4961/830, 8625/2059 is
GCF of Numerators i.e. for 4961,8625 is 1
LCM of denominators i.e. for 830,2059 is 1708970.
Thus, GCF of Fractions is 1/1708970.Finally, GCF of Fractions for 4961/830, 8625/2059 is 1/1708970.