GCF of 5787/157, 1992/3758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5787/157, 1992/3758 i.e 3/590006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5787/157, 1992/3758.
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 5787/157,1992/3758?
Given fractions are 5787/157,1992/3758
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 5787/157,1992/3758, numerators are 5787,1992
Denominators are 157,3758
The GCF of 5787,1992 is 3 .
LCM of 157,3758 is 590006.
The greatest common factor of 5787/157,1992/3758 = [GCF of 5787,1992]/[LCM of 157,3758]= 3/590006
Therefore, the GCF of 5787/157,1992/3758 is 3/590006.
To find the highest common factor of 5787,1992, we have to find the factors of both numbers and list the highest common factor.
The factors of 5787 are 1, 3, 9, 643, 1929, 5787
The factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992
The HCF of 5787,1992 is 3.
Lets's calculate GCF of 5787,1992
| 3 | 5787, 1992 |
| 1929, 664 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5787,1992 By Matching Biggest Common Factor Method
Now, list down the factors of 5787
:1,3,9,643,1929,5787
Now, list down the factors of 1992
:1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992
Greatest Common Factor
We found the factors 5787,1992 . The biggest common factor number is the GCF number.
So the greatest common factor 5787,1992 is 3.
Lets's calculate LCM of 157,3758
Given numbers has no common factors except 1. So, there LCM is their product i.e 590006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/590006
Therefore, the GCF of Fractions 5787/157,1992/3758 is 3/590006
Least Common Multiple of 157,3758 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 157,3758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,3758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,3758) x common factors =1 x 1 = 1
LCM(157,3758) = ( 157 × 3758 ) / 1
LCM(157,3758) = 590006 / 1
LCM(157,3758) = 590006
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FAQs on GCF of Fractions of 5787/157, 1992/3758
1. What is the HCF of 5787,1992?
The HCF of 5787,1992 is 3
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 5787/157, 1992/3758?
Answer: GCF of Numerators as per given numbers 5787/157, 1992/3758 is
GCF of Numerators i.e. for 5787,1992 is 3
LCM of denominators i.e. for 157,3758 is 590006.
Thus, GCF of Fractions is 3/590006.Finally, GCF of Fractions for 5787/157, 1992/3758 is 3/590006.