GCF of 4862/785, 9223/9048
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4862/785, 9223/9048 i.e 1/7102680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4862/785, 9223/9048.
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 4862/785,9223/9048?
Given fractions are 4862/785,9223/9048
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 4862/785,9223/9048, numerators are 4862,9223
Denominators are 785,9048
The GCF of 4862,9223 is 1 .
LCM of 785,9048 is 7102680.
The greatest common factor of 4862/785,9223/9048 = [GCF of 4862,9223]/[LCM of 785,9048]= 1/7102680
Therefore, the GCF of 4862/785,9223/9048 is 1/7102680.
To find the highest common factor of 4862,9223, we have to find the factors of both numbers and list the highest common factor.
The factors of 4862 are 1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 374, 442, 2431, 4862
The factors of 9223 are 1, 23, 401, 9223
The HCF of 4862,9223 is 1.
Lets's calculate GCF of 4862,9223
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4862,9223 By Matching Biggest Common Factor Method
Now, list down the factors of 4862
:1,2,11,13,17,22,26,34,143,187,221,286,374,442,2431,4862
Now, list down the factors of 9223
:1,23,401,9223
Greatest Common Factor
We found the factors 4862,9223 . The biggest common factor number is the GCF number.
So the greatest common factor 4862,9223 is 1.
Lets's calculate LCM of 785,9048
Given numbers has no common factors except 1. So, there LCM is their product i.e 7102680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7102680
Therefore, the GCF of Fractions 4862/785,9223/9048 is 1/7102680
Least Common Multiple of 785,9048 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 785,9048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,9048) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,9048) x common factors =1 x 1 = 1
LCM(785,9048) = ( 785 × 9048 ) / 1
LCM(785,9048) = 7102680 / 1
LCM(785,9048) = 7102680
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FAQs on GCF of Fractions of 4862/785, 9223/9048
1. What is the HCF of 4862,9223?
The HCF of 4862,9223 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 4862/785, 9223/9048?
Answer: GCF of Numerators as per given numbers 4862/785, 9223/9048 is
GCF of Numerators i.e. for 4862,9223 is 1
LCM of denominators i.e. for 785,9048 is 7102680.
Thus, GCF of Fractions is 1/7102680.Finally, GCF of Fractions for 4862/785, 9223/9048 is 1/7102680.