GCF of 9101/781, 4234/3615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9101/781, 4234/3615 i.e 1/2823315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9101/781, 4234/3615.
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 9101/781,4234/3615?
Given fractions are 9101/781,4234/3615
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 9101/781,4234/3615, numerators are 9101,4234
Denominators are 781,3615
The GCF of 9101,4234 is 1 .
LCM of 781,3615 is 2823315.
The greatest common factor of 9101/781,4234/3615 = [GCF of 9101,4234]/[LCM of 781,3615]= 1/2823315
Therefore, the GCF of 9101/781,4234/3615 is 1/2823315.
To find the highest common factor of 9101,4234, we have to find the factors of both numbers and list the highest common factor.
The factors of 9101 are 1, 19, 479, 9101
The factors of 4234 are 1, 2, 29, 58, 73, 146, 2117, 4234
The HCF of 9101,4234 is 1.
Lets's calculate GCF of 9101,4234
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9101,4234 By Matching Biggest Common Factor Method
Now, list down the factors of 9101
:1,19,479,9101
Now, list down the factors of 4234
:1,2,29,58,73,146,2117,4234
Greatest Common Factor
We found the factors 9101,4234 . The biggest common factor number is the GCF number.
So the greatest common factor 9101,4234 is 1.
Lets's calculate LCM of 781,3615
Given numbers has no common factors except 1. So, there LCM is their product i.e 2823315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2823315
Therefore, the GCF of Fractions 9101/781,4234/3615 is 1/2823315
Least Common Multiple of 781,3615 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 781,3615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,3615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,3615) x common factors =1 x 1 = 1
LCM(781,3615) = ( 781 × 3615 ) / 1
LCM(781,3615) = 2823315 / 1
LCM(781,3615) = 2823315
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FAQs on GCF of Fractions of 9101/781, 4234/3615
1. What is the HCF of 9101,4234?
The HCF of 9101,4234 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 9101/781, 4234/3615?
Answer: GCF of Numerators as per given numbers 9101/781, 4234/3615 is
GCF of Numerators i.e. for 9101,4234 is 1
LCM of denominators i.e. for 781,3615 is 2823315.
Thus, GCF of Fractions is 1/2823315.Finally, GCF of Fractions for 9101/781, 4234/3615 is 1/2823315.