GCF of 6221/484, 7606/2505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6221/484, 7606/2505 i.e 1/1212420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6221/484, 7606/2505.
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 6221/484,7606/2505?
Given fractions are 6221/484,7606/2505
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 6221/484,7606/2505, numerators are 6221,7606
Denominators are 484,2505
The GCF of 6221,7606 is 1 .
LCM of 484,2505 is 1212420.
The greatest common factor of 6221/484,7606/2505 = [GCF of 6221,7606]/[LCM of 484,2505]= 1/1212420
Therefore, the GCF of 6221/484,7606/2505 is 1/1212420.
To find the highest common factor of 6221,7606, we have to find the factors of both numbers and list the highest common factor.
The factors of 6221 are 1, 6221
The factors of 7606 are 1, 2, 3803, 7606
The HCF of 6221,7606 is 1.
Lets's calculate GCF of 6221,7606
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6221,7606 By Matching Biggest Common Factor Method
Now, list down the factors of 6221
:1,6221
Now, list down the factors of 7606
:1,2,3803,7606
Greatest Common Factor
We found the factors 6221,7606 . The biggest common factor number is the GCF number.
So the greatest common factor 6221,7606 is 1.
Lets's calculate LCM of 484,2505
Given numbers has no common factors except 1. So, there LCM is their product i.e 1212420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1212420
Therefore, the GCF of Fractions 6221/484,7606/2505 is 1/1212420
Least Common Multiple of 484,2505 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 484,2505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,2505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(484,2505) x common factors =1 x 1 = 1
LCM(484,2505) = ( 484 × 2505 ) / 1
LCM(484,2505) = 1212420 / 1
LCM(484,2505) = 1212420
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FAQs on GCF of Fractions of 6221/484, 7606/2505
1. What is the HCF of 6221,7606?
The HCF of 6221,7606 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 6221/484, 7606/2505?
Answer: GCF of Numerators as per given numbers 6221/484, 7606/2505 is
GCF of Numerators i.e. for 6221,7606 is 1
LCM of denominators i.e. for 484,2505 is 1212420.
Thus, GCF of Fractions is 1/1212420.Finally, GCF of Fractions for 6221/484, 7606/2505 is 1/1212420.