GCF of 1795/462, 3027/690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1795/462, 3027/690 i.e 1/53130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1795/462, 3027/690.
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 1795/462,3027/690?
Given fractions are 1795/462,3027/690
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 1795/462,3027/690, numerators are 1795,3027
Denominators are 462,690
The GCF of 1795,3027 is 1 .
LCM of 462,690 is 53130.
The greatest common factor of 1795/462,3027/690 = [GCF of 1795,3027]/[LCM of 462,690]= 1/53130
Therefore, the GCF of 1795/462,3027/690 is 1/53130.
To find the highest common factor of 1795,3027, we have to find the factors of both numbers and list the highest common factor.
The factors of 1795 are 1, 5, 359, 1795
The factors of 3027 are 1, 3, 1009, 3027
The HCF of 1795,3027 is 1.
Lets's calculate GCF of 1795,3027
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1795,3027 By Matching Biggest Common Factor Method
Now, list down the factors of 1795
:1,5,359,1795
Now, list down the factors of 3027
:1,3,1009,3027
Greatest Common Factor
We found the factors 1795,3027 . The biggest common factor number is the GCF number.
So the greatest common factor 1795,3027 is 1.
Lets's calculate LCM of 462,690
| 2 | 462, 690 |
| 3 | 231, 345 |
| 77, 115 |
∴ So the LCM of the given numbers is 2 x 3 x 77 x 115 = 53130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53130
Therefore, the GCF of Fractions 1795/462,3027/690 is 1/53130
Least Common Multiple of 462,690 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 462,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,690) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(462,690) x common factors =6 x 1 = 6
LCM(462,690) = ( 462 × 690 ) / 6
LCM(462,690) = 318780 / 6
LCM(462,690) = 53130
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FAQs on GCF of Fractions of 1795/462, 3027/690
1. What is the HCF of 1795,3027?
The HCF of 1795,3027 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 1795/462, 3027/690?
Answer: GCF of Numerators as per given numbers 1795/462, 3027/690 is
GCF of Numerators i.e. for 1795,3027 is 1
LCM of denominators i.e. for 462,690 is 53130.
Thus, GCF of Fractions is 1/53130.Finally, GCF of Fractions for 1795/462, 3027/690 is 1/53130.