GCF of 6197/509, 4228/7474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6197/509, 4228/7474 i.e 1/3804266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6197/509, 4228/7474.
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 6197/509,4228/7474?
Given fractions are 6197/509,4228/7474
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 6197/509,4228/7474, numerators are 6197,4228
Denominators are 509,7474
The GCF of 6197,4228 is 1 .
LCM of 509,7474 is 3804266.
The greatest common factor of 6197/509,4228/7474 = [GCF of 6197,4228]/[LCM of 509,7474]= 1/3804266
Therefore, the GCF of 6197/509,4228/7474 is 1/3804266.
To find the highest common factor of 6197,4228, we have to find the factors of both numbers and list the highest common factor.
The factors of 6197 are 1, 6197
The factors of 4228 are 1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228
The HCF of 6197,4228 is 1.
Lets's calculate GCF of 6197,4228
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6197,4228 By Matching Biggest Common Factor Method
Now, list down the factors of 6197
:1,6197
Now, list down the factors of 4228
:1,2,4,7,14,28,151,302,604,1057,2114,4228
Greatest Common Factor
We found the factors 6197,4228 . The biggest common factor number is the GCF number.
So the greatest common factor 6197,4228 is 1.
Lets's calculate LCM of 509,7474
Given numbers has no common factors except 1. So, there LCM is their product i.e 3804266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3804266
Therefore, the GCF of Fractions 6197/509,4228/7474 is 1/3804266
Least Common Multiple of 509,7474 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 509,7474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,7474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,7474) x common factors =1 x 1 = 1
LCM(509,7474) = ( 509 × 7474 ) / 1
LCM(509,7474) = 3804266 / 1
LCM(509,7474) = 3804266
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FAQs on GCF of Fractions of 6197/509, 4228/7474
1. What is the HCF of 6197,4228?
The HCF of 6197,4228 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 6197/509, 4228/7474?
Answer: GCF of Numerators as per given numbers 6197/509, 4228/7474 is
GCF of Numerators i.e. for 6197,4228 is 1
LCM of denominators i.e. for 509,7474 is 3804266.
Thus, GCF of Fractions is 1/3804266.Finally, GCF of Fractions for 6197/509, 4228/7474 is 1/3804266.