GCF of 3666/650, 9127/9959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3666/650, 9127/9959 i.e 1/6473350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3666/650, 9127/9959.
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 3666/650,9127/9959?
Given fractions are 3666/650,9127/9959
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 3666/650,9127/9959, numerators are 3666,9127
Denominators are 650,9959
The GCF of 3666,9127 is 1 .
LCM of 650,9959 is 6473350.
The greatest common factor of 3666/650,9127/9959 = [GCF of 3666,9127]/[LCM of 650,9959]= 1/6473350
Therefore, the GCF of 3666/650,9127/9959 is 1/6473350.
To find the highest common factor of 3666,9127, we have to find the factors of both numbers and list the highest common factor.
The factors of 3666 are 1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666
The factors of 9127 are 1, 9127
The HCF of 3666,9127 is 1.
Lets's calculate GCF of 3666,9127
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3666,9127 By Matching Biggest Common Factor Method
Now, list down the factors of 3666
:1,2,3,6,13,26,39,47,78,94,141,282,611,1222,1833,3666
Now, list down the factors of 9127
:1,9127
Greatest Common Factor
We found the factors 3666,9127 . The biggest common factor number is the GCF number.
So the greatest common factor 3666,9127 is 1.
Lets's calculate LCM of 650,9959
Given numbers has no common factors except 1. So, there LCM is their product i.e 6473350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6473350
Therefore, the GCF of Fractions 3666/650,9127/9959 is 1/6473350
Least Common Multiple of 650,9959 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 650,9959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,9959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(650,9959) x common factors =1 x 1 = 1
LCM(650,9959) = ( 650 × 9959 ) / 1
LCM(650,9959) = 6473350 / 1
LCM(650,9959) = 6473350
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FAQs on GCF of Fractions of 3666/650, 9127/9959
1. What is the HCF of 3666,9127?
The HCF of 3666,9127 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 3666/650, 9127/9959?
Answer: GCF of Numerators as per given numbers 3666/650, 9127/9959 is
GCF of Numerators i.e. for 3666,9127 is 1
LCM of denominators i.e. for 650,9959 is 6473350.
Thus, GCF of Fractions is 1/6473350.Finally, GCF of Fractions for 3666/650, 9127/9959 is 1/6473350.