GCF of 9511/668, 9650/536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9511/668, 9650/536 i.e 1/89512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9511/668, 9650/536.
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 9511/668,9650/536?
Given fractions are 9511/668,9650/536
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 9511/668,9650/536, numerators are 9511,9650
Denominators are 668,536
The GCF of 9511,9650 is 1 .
LCM of 668,536 is 89512.
The greatest common factor of 9511/668,9650/536 = [GCF of 9511,9650]/[LCM of 668,536]= 1/89512
Therefore, the GCF of 9511/668,9650/536 is 1/89512.
To find the highest common factor of 9511,9650, we have to find the factors of both numbers and list the highest common factor.
The factors of 9511 are 1, 9511
The factors of 9650 are 1, 2, 5, 10, 25, 50, 193, 386, 965, 1930, 4825, 9650
The HCF of 9511,9650 is 1.
Lets's calculate GCF of 9511,9650
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9511,9650 By Matching Biggest Common Factor Method
Now, list down the factors of 9511
:1,9511
Now, list down the factors of 9650
:1,2,5,10,25,50,193,386,965,1930,4825,9650
Greatest Common Factor
We found the factors 9511,9650 . The biggest common factor number is the GCF number.
So the greatest common factor 9511,9650 is 1.
Lets's calculate LCM of 668,536
| 2 | 668, 536 |
| 2 | 334, 268 |
| 167, 134 |
∴ So the LCM of the given numbers is 2 x 2 x 167 x 134 = 89512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89512
Therefore, the GCF of Fractions 9511/668,9650/536 is 1/89512
Least Common Multiple of 668,536 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 668,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,536) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(668,536) x common factors =4 x 1 = 4
LCM(668,536) = ( 668 × 536 ) / 4
LCM(668,536) = 358048 / 4
LCM(668,536) = 89512
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FAQs on GCF of Fractions of 9511/668, 9650/536
1. What is the HCF of 9511,9650?
The HCF of 9511,9650 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 9511/668, 9650/536?
Answer: GCF of Numerators as per given numbers 9511/668, 9650/536 is
GCF of Numerators i.e. for 9511,9650 is 1
LCM of denominators i.e. for 668,536 is 89512.
Thus, GCF of Fractions is 1/89512.Finally, GCF of Fractions for 9511/668, 9650/536 is 1/89512.