GCF of 1017/650, 2358/299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1017/650, 2358/299 i.e 9/14950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1017/650, 2358/299.
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 1017/650,2358/299?
Given fractions are 1017/650,2358/299
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 1017/650,2358/299, numerators are 1017,2358
Denominators are 650,299
The GCF of 1017,2358 is 9 .
LCM of 650,299 is 14950.
The greatest common factor of 1017/650,2358/299 = [GCF of 1017,2358]/[LCM of 650,299]= 9/14950
Therefore, the GCF of 1017/650,2358/299 is 9/14950.
To find the highest common factor of 1017,2358, 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 2358 are 1, 2, 3, 6, 9, 18, 131, 262, 393, 786, 1179, 2358
The HCF of 1017,2358 is 9.
Lets's calculate GCF of 1017,2358
| 3 | 1017, 2358 |
| 3 | 339, 786 |
| 113, 262 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1017,2358 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 2358
:1,2,3,6,9,18,131,262,393,786,1179,2358
Greatest Common Factor
We found the factors 1017,2358 . The biggest common factor number is the GCF number.
So the greatest common factor 1017,2358 is 9.
Lets's calculate LCM of 650,299
| 13 | 650, 299 |
| 50, 23 |
∴ So the LCM of the given numbers is 13 x 50 x 23 = 14950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/14950
Therefore, the GCF of Fractions 1017/650,2358/299 is 9/14950
Least Common Multiple of 650,299 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 650,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,299) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(650,299) x common factors =13 x 1 = 13
LCM(650,299) = ( 650 × 299 ) / 13
LCM(650,299) = 194350 / 13
LCM(650,299) = 14950
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FAQs on GCF of Fractions of 1017/650, 2358/299
1. What is the HCF of 1017,2358?
The HCF of 1017,2358 is 9
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 1017/650, 2358/299?
Answer: GCF of Numerators as per given numbers 1017/650, 2358/299 is
GCF of Numerators i.e. for 1017,2358 is 9
LCM of denominators i.e. for 650,299 is 14950.
Thus, GCF of Fractions is 9/14950.Finally, GCF of Fractions for 1017/650, 2358/299 is 9/14950.