GCF of 2517/746, 1178/1629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2517/746, 1178/1629 i.e 1/1215234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2517/746, 1178/1629.
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 2517/746,1178/1629?
Given fractions are 2517/746,1178/1629
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 2517/746,1178/1629, numerators are 2517,1178
Denominators are 746,1629
The GCF of 2517,1178 is 1 .
LCM of 746,1629 is 1215234.
The greatest common factor of 2517/746,1178/1629 = [GCF of 2517,1178]/[LCM of 746,1629]= 1/1215234
Therefore, the GCF of 2517/746,1178/1629 is 1/1215234.
To find the highest common factor of 2517,1178, we have to find the factors of both numbers and list the highest common factor.
The factors of 2517 are 1, 3, 839, 2517
The factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178
The HCF of 2517,1178 is 1.
Lets's calculate GCF of 2517,1178
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2517,1178 By Matching Biggest Common Factor Method
Now, list down the factors of 2517
:1,3,839,2517
Now, list down the factors of 1178
:1,2,19,31,38,62,589,1178
Greatest Common Factor
We found the factors 2517,1178 . The biggest common factor number is the GCF number.
So the greatest common factor 2517,1178 is 1.
Lets's calculate LCM of 746,1629
Given numbers has no common factors except 1. So, there LCM is their product i.e 1215234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1215234
Therefore, the GCF of Fractions 2517/746,1178/1629 is 1/1215234
Least Common Multiple of 746,1629 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 746,1629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,1629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,1629) x common factors =1 x 1 = 1
LCM(746,1629) = ( 746 × 1629 ) / 1
LCM(746,1629) = 1215234 / 1
LCM(746,1629) = 1215234
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2517/746, 1178/1629
1. What is the HCF of 2517,1178?
The HCF of 2517,1178 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 2517/746, 1178/1629?
Answer: GCF of Numerators as per given numbers 2517/746, 1178/1629 is
GCF of Numerators i.e. for 2517,1178 is 1
LCM of denominators i.e. for 746,1629 is 1215234.
Thus, GCF of Fractions is 1/1215234.Finally, GCF of Fractions for 2517/746, 1178/1629 is 1/1215234.