GCF of 1017/306, 1324/7108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1017/306, 1324/7108 i.e 1/1087524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1017/306, 1324/7108.
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 1017/306,1324/7108?
Given fractions are 1017/306,1324/7108
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 1017/306,1324/7108, numerators are 1017,1324
Denominators are 306,7108
The GCF of 1017,1324 is 1 .
LCM of 306,7108 is 1087524.
The greatest common factor of 1017/306,1324/7108 = [GCF of 1017,1324]/[LCM of 306,7108]= 1/1087524
Therefore, the GCF of 1017/306,1324/7108 is 1/1087524.
To find the highest common factor of 1017,1324, we have to find the factors of both numbers and list the highest common factor.
The factors of 1017 are 1, 3, 9, 113, 339, 1017
The factors of 1324 are 1, 2, 4, 331, 662, 1324
The HCF of 1017,1324 is 1.
Lets's calculate GCF of 1017,1324
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1017,1324 By Matching Biggest Common Factor Method
Now, list down the factors of 1017
:1,3,9,113,339,1017
Now, list down the factors of 1324
:1,2,4,331,662,1324
Greatest Common Factor
We found the factors 1017,1324 . The biggest common factor number is the GCF number.
So the greatest common factor 1017,1324 is 1.
Lets's calculate LCM of 306,7108
| 2 | 306, 7108 |
| 153, 3554 |
∴ So the LCM of the given numbers is 2 x 153 x 3554 = 1087524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1087524
Therefore, the GCF of Fractions 1017/306,1324/7108 is 1/1087524
Least Common Multiple of 306,7108 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 306,7108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,7108) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,7108) x common factors =2 x 1 = 2
LCM(306,7108) = ( 306 × 7108 ) / 2
LCM(306,7108) = 2175048 / 2
LCM(306,7108) = 1087524
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FAQs on GCF of Fractions of 1017/306, 1324/7108
1. What is the HCF of 1017,1324?
The HCF of 1017,1324 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 1017/306, 1324/7108?
Answer: GCF of Numerators as per given numbers 1017/306, 1324/7108 is
GCF of Numerators i.e. for 1017,1324 is 1
LCM of denominators i.e. for 306,7108 is 1087524.
Thus, GCF of Fractions is 1/1087524.Finally, GCF of Fractions for 1017/306, 1324/7108 is 1/1087524.