GCF of 5676/927, 3707/127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5676/927, 3707/127 i.e 11/117729 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5676/927, 3707/127.
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 5676/927,3707/127?
Given fractions are 5676/927,3707/127
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 5676/927,3707/127, numerators are 5676,3707
Denominators are 927,127
The GCF of 5676,3707 is 11 .
LCM of 927,127 is 117729.
The greatest common factor of 5676/927,3707/127 = [GCF of 5676,3707]/[LCM of 927,127]= 11/117729
Therefore, the GCF of 5676/927,3707/127 is 11/117729.
To find the highest common factor of 5676,3707, we have to find the factors of both numbers and list the highest common factor.
The factors of 5676 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 129, 132, 172, 258, 473, 516, 946, 1419, 1892, 2838, 5676
The factors of 3707 are 1, 11, 337, 3707
The HCF of 5676,3707 is 11.
Lets's calculate GCF of 5676,3707
| 11 | 5676, 3707 |
| 516, 337 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5676,3707 By Matching Biggest Common Factor Method
Now, list down the factors of 5676
:1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676
Now, list down the factors of 3707
:1,11,337,3707
Greatest Common Factor
We found the factors 5676,3707 . The biggest common factor number is the GCF number.
So the greatest common factor 5676,3707 is 11.
Lets's calculate LCM of 927,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 117729
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/117729
Therefore, the GCF of Fractions 5676/927,3707/127 is 11/117729
Least Common Multiple of 927,127 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 927,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,127) x common factors =1 x 1 = 1
LCM(927,127) = ( 927 × 127 ) / 1
LCM(927,127) = 117729 / 1
LCM(927,127) = 117729
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FAQs on GCF of Fractions of 5676/927, 3707/127
1. What is the HCF of 5676,3707?
The HCF of 5676,3707 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 5676/927, 3707/127?
Answer: GCF of Numerators as per given numbers 5676/927, 3707/127 is
GCF of Numerators i.e. for 5676,3707 is 11
LCM of denominators i.e. for 927,127 is 117729.
Thus, GCF of Fractions is 11/117729.Finally, GCF of Fractions for 5676/927, 3707/127 is 11/117729.