GCF of 7247/469, 6490/2174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7247/469, 6490/2174 i.e 1/1019606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7247/469, 6490/2174.
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 7247/469,6490/2174?
Given fractions are 7247/469,6490/2174
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 7247/469,6490/2174, numerators are 7247,6490
Denominators are 469,2174
The GCF of 7247,6490 is 1 .
LCM of 469,2174 is 1019606.
The greatest common factor of 7247/469,6490/2174 = [GCF of 7247,6490]/[LCM of 469,2174]= 1/1019606
Therefore, the GCF of 7247/469,6490/2174 is 1/1019606.
To find the highest common factor of 7247,6490, we have to find the factors of both numbers and list the highest common factor.
The factors of 7247 are 1, 7247
The factors of 6490 are 1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490
The HCF of 7247,6490 is 1.
Lets's calculate GCF of 7247,6490
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7247,6490 By Matching Biggest Common Factor Method
Now, list down the factors of 7247
:1,7247
Now, list down the factors of 6490
:1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490
Greatest Common Factor
We found the factors 7247,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 7247,6490 is 1.
Lets's calculate LCM of 469,2174
Given numbers has no common factors except 1. So, there LCM is their product i.e 1019606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1019606
Therefore, the GCF of Fractions 7247/469,6490/2174 is 1/1019606
Least Common Multiple of 469,2174 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 469,2174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,2174) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,2174) x common factors =1 x 1 = 1
LCM(469,2174) = ( 469 × 2174 ) / 1
LCM(469,2174) = 1019606 / 1
LCM(469,2174) = 1019606
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FAQs on GCF of Fractions of 7247/469, 6490/2174
1. What is the HCF of 7247,6490?
The HCF of 7247,6490 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 7247/469, 6490/2174?
Answer: GCF of Numerators as per given numbers 7247/469, 6490/2174 is
GCF of Numerators i.e. for 7247,6490 is 1
LCM of denominators i.e. for 469,2174 is 1019606.
Thus, GCF of Fractions is 1/1019606.Finally, GCF of Fractions for 7247/469, 6490/2174 is 1/1019606.