GCF of 6506/627, 2229/1909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6506/627, 2229/1909 i.e 1/1196943 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6506/627, 2229/1909.
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 6506/627,2229/1909?
Given fractions are 6506/627,2229/1909
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 6506/627,2229/1909, numerators are 6506,2229
Denominators are 627,1909
The GCF of 6506,2229 is 1 .
LCM of 627,1909 is 1196943.
The greatest common factor of 6506/627,2229/1909 = [GCF of 6506,2229]/[LCM of 627,1909]= 1/1196943
Therefore, the GCF of 6506/627,2229/1909 is 1/1196943.
To find the highest common factor of 6506,2229, we have to find the factors of both numbers and list the highest common factor.
The factors of 6506 are 1, 2, 3253, 6506
The factors of 2229 are 1, 3, 743, 2229
The HCF of 6506,2229 is 1.
Lets's calculate GCF of 6506,2229
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6506,2229 By Matching Biggest Common Factor Method
Now, list down the factors of 6506
:1,2,3253,6506
Now, list down the factors of 2229
:1,3,743,2229
Greatest Common Factor
We found the factors 6506,2229 . The biggest common factor number is the GCF number.
So the greatest common factor 6506,2229 is 1.
Lets's calculate LCM of 627,1909
Given numbers has no common factors except 1. So, there LCM is their product i.e 1196943
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1196943
Therefore, the GCF of Fractions 6506/627,2229/1909 is 1/1196943
Least Common Multiple of 627,1909 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 627,1909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,1909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,1909) x common factors =1 x 1 = 1
LCM(627,1909) = ( 627 × 1909 ) / 1
LCM(627,1909) = 1196943 / 1
LCM(627,1909) = 1196943
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FAQs on GCF of Fractions of 6506/627, 2229/1909
1. What is the HCF of 6506,2229?
The HCF of 6506,2229 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 6506/627, 2229/1909?
Answer: GCF of Numerators as per given numbers 6506/627, 2229/1909 is
GCF of Numerators i.e. for 6506,2229 is 1
LCM of denominators i.e. for 627,1909 is 1196943.
Thus, GCF of Fractions is 1/1196943.Finally, GCF of Fractions for 6506/627, 2229/1909 is 1/1196943.