GCF of 4261/305, 2172/5010
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4261/305, 2172/5010 i.e 1/305610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4261/305, 2172/5010.
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 4261/305,2172/5010?
Given fractions are 4261/305,2172/5010
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 4261/305,2172/5010, numerators are 4261,2172
Denominators are 305,5010
The GCF of 4261,2172 is 1 .
LCM of 305,5010 is 305610.
The greatest common factor of 4261/305,2172/5010 = [GCF of 4261,2172]/[LCM of 305,5010]= 1/305610
Therefore, the GCF of 4261/305,2172/5010 is 1/305610.
To find the highest common factor of 4261,2172, we have to find the factors of both numbers and list the highest common factor.
The factors of 4261 are 1, 4261
The factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172
The HCF of 4261,2172 is 1.
Lets's calculate GCF of 4261,2172
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4261,2172 By Matching Biggest Common Factor Method
Now, list down the factors of 4261
:1,4261
Now, list down the factors of 2172
:1,2,3,4,6,12,181,362,543,724,1086,2172
Greatest Common Factor
We found the factors 4261,2172 . The biggest common factor number is the GCF number.
So the greatest common factor 4261,2172 is 1.
Lets's calculate LCM of 305,5010
| 5 | 305, 5010 |
| 61, 1002 |
∴ So the LCM of the given numbers is 5 x 61 x 1002 = 305610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305610
Therefore, the GCF of Fractions 4261/305,2172/5010 is 1/305610
Least Common Multiple of 305,5010 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 305,5010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,5010) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,5010) x common factors =5 x 1 = 5
LCM(305,5010) = ( 305 × 5010 ) / 5
LCM(305,5010) = 1528050 / 5
LCM(305,5010) = 305610
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FAQs on GCF of Fractions of 4261/305, 2172/5010
1. What is the HCF of 4261,2172?
The HCF of 4261,2172 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 4261/305, 2172/5010?
Answer: GCF of Numerators as per given numbers 4261/305, 2172/5010 is
GCF of Numerators i.e. for 4261,2172 is 1
LCM of denominators i.e. for 305,5010 is 305610.
Thus, GCF of Fractions is 1/305610.Finally, GCF of Fractions for 4261/305, 2172/5010 is 1/305610.