GCF of 5730/694, 1699/1908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5730/694, 1699/1908 i.e 1/662076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5730/694, 1699/1908.
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 5730/694,1699/1908?
Given fractions are 5730/694,1699/1908
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 5730/694,1699/1908, numerators are 5730,1699
Denominators are 694,1908
The GCF of 5730,1699 is 1 .
LCM of 694,1908 is 662076.
The greatest common factor of 5730/694,1699/1908 = [GCF of 5730,1699]/[LCM of 694,1908]= 1/662076
Therefore, the GCF of 5730/694,1699/1908 is 1/662076.
To find the highest common factor of 5730,1699, we have to find the factors of both numbers and list the highest common factor.
The factors of 5730 are 1, 2, 3, 5, 6, 10, 15, 30, 191, 382, 573, 955, 1146, 1910, 2865, 5730
The factors of 1699 are 1, 1699
The HCF of 5730,1699 is 1.
Lets's calculate GCF of 5730,1699
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5730,1699 By Matching Biggest Common Factor Method
Now, list down the factors of 5730
:1,2,3,5,6,10,15,30,191,382,573,955,1146,1910,2865,5730
Now, list down the factors of 1699
:1,1699
Greatest Common Factor
We found the factors 5730,1699 . The biggest common factor number is the GCF number.
So the greatest common factor 5730,1699 is 1.
Lets's calculate LCM of 694,1908
| 2 | 694, 1908 |
| 347, 954 |
∴ So the LCM of the given numbers is 2 x 347 x 954 = 662076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/662076
Therefore, the GCF of Fractions 5730/694,1699/1908 is 1/662076
Least Common Multiple of 694,1908 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 694,1908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,1908) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,1908) x common factors =2 x 1 = 2
LCM(694,1908) = ( 694 × 1908 ) / 2
LCM(694,1908) = 1324152 / 2
LCM(694,1908) = 662076
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FAQs on GCF of Fractions of 5730/694, 1699/1908
1. What is the HCF of 5730,1699?
The HCF of 5730,1699 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 5730/694, 1699/1908?
Answer: GCF of Numerators as per given numbers 5730/694, 1699/1908 is
GCF of Numerators i.e. for 5730,1699 is 1
LCM of denominators i.e. for 694,1908 is 662076.
Thus, GCF of Fractions is 1/662076.Finally, GCF of Fractions for 5730/694, 1699/1908 is 1/662076.