GCF of 8903/967, 4781/4687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8903/967, 4781/4687 i.e 1/4532329 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8903/967, 4781/4687.
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 8903/967,4781/4687?
Given fractions are 8903/967,4781/4687
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 8903/967,4781/4687, numerators are 8903,4781
Denominators are 967,4687
The GCF of 8903,4781 is 1 .
LCM of 967,4687 is 4532329.
The greatest common factor of 8903/967,4781/4687 = [GCF of 8903,4781]/[LCM of 967,4687]= 1/4532329
Therefore, the GCF of 8903/967,4781/4687 is 1/4532329.
To find the highest common factor of 8903,4781, we have to find the factors of both numbers and list the highest common factor.
The factors of 8903 are 1, 29, 307, 8903
The factors of 4781 are 1, 7, 683, 4781
The HCF of 8903,4781 is 1.
Lets's calculate GCF of 8903,4781
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8903,4781 By Matching Biggest Common Factor Method
Now, list down the factors of 8903
:1,29,307,8903
Now, list down the factors of 4781
:1,7,683,4781
Greatest Common Factor
We found the factors 8903,4781 . The biggest common factor number is the GCF number.
So the greatest common factor 8903,4781 is 1.
Lets's calculate LCM of 967,4687
Given numbers has no common factors except 1. So, there LCM is their product i.e 4532329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4532329
Therefore, the GCF of Fractions 8903/967,4781/4687 is 1/4532329
Least Common Multiple of 967,4687 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 967,4687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,4687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,4687) x common factors =1 x 1 = 1
LCM(967,4687) = ( 967 × 4687 ) / 1
LCM(967,4687) = 4532329 / 1
LCM(967,4687) = 4532329
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FAQs on GCF of Fractions of 8903/967, 4781/4687
1. What is the HCF of 8903,4781?
The HCF of 8903,4781 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 8903/967, 4781/4687?
Answer: GCF of Numerators as per given numbers 8903/967, 4781/4687 is
GCF of Numerators i.e. for 8903,4781 is 1
LCM of denominators i.e. for 967,4687 is 4532329.
Thus, GCF of Fractions is 1/4532329.Finally, GCF of Fractions for 8903/967, 4781/4687 is 1/4532329.