GCF of 5709/360, 3311/9967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5709/360, 3311/9967 i.e 11/3588120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5709/360, 3311/9967.
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 5709/360,3311/9967?
Given fractions are 5709/360,3311/9967
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 5709/360,3311/9967, numerators are 5709,3311
Denominators are 360,9967
The GCF of 5709,3311 is 11 .
LCM of 360,9967 is 3588120.
The greatest common factor of 5709/360,3311/9967 = [GCF of 5709,3311]/[LCM of 360,9967]= 11/3588120
Therefore, the GCF of 5709/360,3311/9967 is 11/3588120.
To find the highest common factor of 5709,3311, we have to find the factors of both numbers and list the highest common factor.
The factors of 5709 are 1, 3, 11, 33, 173, 519, 1903, 5709
The factors of 3311 are 1, 7, 11, 43, 77, 301, 473, 3311
The HCF of 5709,3311 is 11.
Lets's calculate GCF of 5709,3311
| 11 | 5709, 3311 |
| 519, 301 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5709,3311 By Matching Biggest Common Factor Method
Now, list down the factors of 5709
:1,3,11,33,173,519,1903,5709
Now, list down the factors of 3311
:1,7,11,43,77,301,473,3311
Greatest Common Factor
We found the factors 5709,3311 . The biggest common factor number is the GCF number.
So the greatest common factor 5709,3311 is 11.
Lets's calculate LCM of 360,9967
Given numbers has no common factors except 1. So, there LCM is their product i.e 3588120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3588120
Therefore, the GCF of Fractions 5709/360,3311/9967 is 11/3588120
Least Common Multiple of 360,9967 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 360,9967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,9967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(360,9967) x common factors =1 x 1 = 1
LCM(360,9967) = ( 360 × 9967 ) / 1
LCM(360,9967) = 3588120 / 1
LCM(360,9967) = 3588120
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FAQs on GCF of Fractions of 5709/360, 3311/9967
1. What is the HCF of 5709,3311?
The HCF of 5709,3311 is 11
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 5709/360, 3311/9967?
Answer: GCF of Numerators as per given numbers 5709/360, 3311/9967 is
GCF of Numerators i.e. for 5709,3311 is 11
LCM of denominators i.e. for 360,9967 is 3588120.
Thus, GCF of Fractions is 11/3588120.Finally, GCF of Fractions for 5709/360, 3311/9967 is 11/3588120.