GCF of 5946/509, 2372/697
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5946/509, 2372/697 i.e 2/354773 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5946/509, 2372/697.
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 5946/509,2372/697?
Given fractions are 5946/509,2372/697
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 5946/509,2372/697, numerators are 5946,2372
Denominators are 509,697
The GCF of 5946,2372 is 2 .
LCM of 509,697 is 354773.
The greatest common factor of 5946/509,2372/697 = [GCF of 5946,2372]/[LCM of 509,697]= 2/354773
Therefore, the GCF of 5946/509,2372/697 is 2/354773.
To find the highest common factor of 5946,2372, we have to find the factors of both numbers and list the highest common factor.
The factors of 5946 are 1, 2, 3, 6, 991, 1982, 2973, 5946
The factors of 2372 are 1, 2, 4, 593, 1186, 2372
The HCF of 5946,2372 is 2.
Lets's calculate GCF of 5946,2372
| 2 | 5946, 2372 |
| 2973, 1186 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5946,2372 By Matching Biggest Common Factor Method
Now, list down the factors of 5946
:1,2,3,6,991,1982,2973,5946
Now, list down the factors of 2372
:1,2,4,593,1186,2372
Greatest Common Factor
We found the factors 5946,2372 . The biggest common factor number is the GCF number.
So the greatest common factor 5946,2372 is 2.
Lets's calculate LCM of 509,697
Given numbers has no common factors except 1. So, there LCM is their product i.e 354773
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/354773
Therefore, the GCF of Fractions 5946/509,2372/697 is 2/354773
Least Common Multiple of 509,697 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 509,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,697) x common factors =1 x 1 = 1
LCM(509,697) = ( 509 × 697 ) / 1
LCM(509,697) = 354773 / 1
LCM(509,697) = 354773
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FAQs on GCF of Fractions of 5946/509, 2372/697
1. What is the HCF of 5946,2372?
The HCF of 5946,2372 is 2
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 5946/509, 2372/697?
Answer: GCF of Numerators as per given numbers 5946/509, 2372/697 is
GCF of Numerators i.e. for 5946,2372 is 2
LCM of denominators i.e. for 509,697 is 354773.
Thus, GCF of Fractions is 2/354773.Finally, GCF of Fractions for 5946/509, 2372/697 is 2/354773.