GCF of 1903/104, 8957/6221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1903/104, 8957/6221 i.e 1/646984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1903/104, 8957/6221.
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 1903/104,8957/6221?
Given fractions are 1903/104,8957/6221
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 1903/104,8957/6221, numerators are 1903,8957
Denominators are 104,6221
The GCF of 1903,8957 is 1 .
LCM of 104,6221 is 646984.
The greatest common factor of 1903/104,8957/6221 = [GCF of 1903,8957]/[LCM of 104,6221]= 1/646984
Therefore, the GCF of 1903/104,8957/6221 is 1/646984.
To find the highest common factor of 1903,8957, we have to find the factors of both numbers and list the highest common factor.
The factors of 1903 are 1, 11, 173, 1903
The factors of 8957 are 1, 13, 53, 169, 689, 8957
The HCF of 1903,8957 is 1.
Lets's calculate GCF of 1903,8957
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1903,8957 By Matching Biggest Common Factor Method
Now, list down the factors of 1903
:1,11,173,1903
Now, list down the factors of 8957
:1,13,53,169,689,8957
Greatest Common Factor
We found the factors 1903,8957 . The biggest common factor number is the GCF number.
So the greatest common factor 1903,8957 is 1.
Lets's calculate LCM of 104,6221
Given numbers has no common factors except 1. So, there LCM is their product i.e 646984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/646984
Therefore, the GCF of Fractions 1903/104,8957/6221 is 1/646984
Least Common Multiple of 104,6221 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 104,6221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,6221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(104,6221) x common factors =1 x 1 = 1
LCM(104,6221) = ( 104 × 6221 ) / 1
LCM(104,6221) = 646984 / 1
LCM(104,6221) = 646984
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FAQs on GCF of Fractions of 1903/104, 8957/6221
1. What is the HCF of 1903,8957?
The HCF of 1903,8957 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 1903/104, 8957/6221?
Answer: GCF of Numerators as per given numbers 1903/104, 8957/6221 is
GCF of Numerators i.e. for 1903,8957 is 1
LCM of denominators i.e. for 104,6221 is 646984.
Thus, GCF of Fractions is 1/646984.Finally, GCF of Fractions for 1903/104, 8957/6221 is 1/646984.