GCF of 4427/635, 2860/9203
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4427/635, 2860/9203 i.e 1/5843905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4427/635, 2860/9203.
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 4427/635,2860/9203?
Given fractions are 4427/635,2860/9203
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 4427/635,2860/9203, numerators are 4427,2860
Denominators are 635,9203
The GCF of 4427,2860 is 1 .
LCM of 635,9203 is 5843905.
The greatest common factor of 4427/635,2860/9203 = [GCF of 4427,2860]/[LCM of 635,9203]= 1/5843905
Therefore, the GCF of 4427/635,2860/9203 is 1/5843905.
To find the highest common factor of 4427,2860, we have to find the factors of both numbers and list the highest common factor.
The factors of 4427 are 1, 19, 233, 4427
The factors of 2860 are 1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860
The HCF of 4427,2860 is 1.
Lets's calculate GCF of 4427,2860
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4427,2860 By Matching Biggest Common Factor Method
Now, list down the factors of 4427
:1,19,233,4427
Now, list down the factors of 2860
:1,2,4,5,10,11,13,20,22,26,44,52,55,65,110,130,143,220,260,286,572,715,1430,2860
Greatest Common Factor
We found the factors 4427,2860 . The biggest common factor number is the GCF number.
So the greatest common factor 4427,2860 is 1.
Lets's calculate LCM of 635,9203
Given numbers has no common factors except 1. So, there LCM is their product i.e 5843905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5843905
Therefore, the GCF of Fractions 4427/635,2860/9203 is 1/5843905
Least Common Multiple of 635,9203 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 635,9203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,9203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,9203) x common factors =1 x 1 = 1
LCM(635,9203) = ( 635 × 9203 ) / 1
LCM(635,9203) = 5843905 / 1
LCM(635,9203) = 5843905
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FAQs on GCF of Fractions of 4427/635, 2860/9203
1. What is the HCF of 4427,2860?
The HCF of 4427,2860 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 4427/635, 2860/9203?
Answer: GCF of Numerators as per given numbers 4427/635, 2860/9203 is
GCF of Numerators i.e. for 4427,2860 is 1
LCM of denominators i.e. for 635,9203 is 5843905.
Thus, GCF of Fractions is 1/5843905.Finally, GCF of Fractions for 4427/635, 2860/9203 is 1/5843905.