GCF of 1916/132, 7767/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1916/132, 7767/117 i.e 1/5148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1916/132, 7767/117.
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 1916/132,7767/117?
Given fractions are 1916/132,7767/117
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 1916/132,7767/117, numerators are 1916,7767
Denominators are 132,117
The GCF of 1916,7767 is 1 .
LCM of 132,117 is 5148.
The greatest common factor of 1916/132,7767/117 = [GCF of 1916,7767]/[LCM of 132,117]= 1/5148
Therefore, the GCF of 1916/132,7767/117 is 1/5148.
To find the highest common factor of 1916,7767, we have to find the factors of both numbers and list the highest common factor.
The factors of 1916 are 1, 2, 4, 479, 958, 1916
The factors of 7767 are 1, 3, 9, 863, 2589, 7767
The HCF of 1916,7767 is 1.
Lets's calculate GCF of 1916,7767
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1916,7767 By Matching Biggest Common Factor Method
Now, list down the factors of 1916
:1,2,4,479,958,1916
Now, list down the factors of 7767
:1,3,9,863,2589,7767
Greatest Common Factor
We found the factors 1916,7767 . The biggest common factor number is the GCF number.
So the greatest common factor 1916,7767 is 1.
Lets's calculate LCM of 132,117
| 3 | 132, 117 |
| 44, 39 |
∴ So the LCM of the given numbers is 3 x 44 x 39 = 5148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5148
Therefore, the GCF of Fractions 1916/132,7767/117 is 1/5148
Least Common Multiple of 132,117 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 132,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,117) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(132,117) x common factors =3 x 1 = 3
LCM(132,117) = ( 132 × 117 ) / 3
LCM(132,117) = 15444 / 3
LCM(132,117) = 5148
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FAQs on GCF of Fractions of 1916/132, 7767/117
1. What is the HCF of 1916,7767?
The HCF of 1916,7767 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 1916/132, 7767/117?
Answer: GCF of Numerators as per given numbers 1916/132, 7767/117 is
GCF of Numerators i.e. for 1916,7767 is 1
LCM of denominators i.e. for 132,117 is 5148.
Thus, GCF of Fractions is 1/5148.Finally, GCF of Fractions for 1916/132, 7767/117 is 1/5148.