GCF of 2326/153, 6517/6030
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2326/153, 6517/6030 i.e 1/102510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2326/153, 6517/6030.
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 2326/153,6517/6030?
Given fractions are 2326/153,6517/6030
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 2326/153,6517/6030, numerators are 2326,6517
Denominators are 153,6030
The GCF of 2326,6517 is 1 .
LCM of 153,6030 is 102510.
The greatest common factor of 2326/153,6517/6030 = [GCF of 2326,6517]/[LCM of 153,6030]= 1/102510
Therefore, the GCF of 2326/153,6517/6030 is 1/102510.
To find the highest common factor of 2326,6517, we have to find the factors of both numbers and list the highest common factor.
The factors of 2326 are 1, 2, 1163, 2326
The factors of 6517 are 1, 7, 19, 49, 133, 343, 931, 6517
The HCF of 2326,6517 is 1.
Lets's calculate GCF of 2326,6517
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2326,6517 By Matching Biggest Common Factor Method
Now, list down the factors of 2326
:1,2,1163,2326
Now, list down the factors of 6517
:1,7,19,49,133,343,931,6517
Greatest Common Factor
We found the factors 2326,6517 . The biggest common factor number is the GCF number.
So the greatest common factor 2326,6517 is 1.
Lets's calculate LCM of 153,6030
| 3 | 153, 6030 |
| 3 | 51, 2010 |
| 17, 670 |
∴ So the LCM of the given numbers is 3 x 3 x 17 x 670 = 102510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102510
Therefore, the GCF of Fractions 2326/153,6517/6030 is 1/102510
Least Common Multiple of 153,6030 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 153,6030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,6030) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(153,6030) x common factors =9 x 1 = 9
LCM(153,6030) = ( 153 × 6030 ) / 9
LCM(153,6030) = 922590 / 9
LCM(153,6030) = 102510
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FAQs on GCF of Fractions of 2326/153, 6517/6030
1. What is the HCF of 2326,6517?
The HCF of 2326,6517 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 2326/153, 6517/6030?
Answer: GCF of Numerators as per given numbers 2326/153, 6517/6030 is
GCF of Numerators i.e. for 2326,6517 is 1
LCM of denominators i.e. for 153,6030 is 102510.
Thus, GCF of Fractions is 1/102510.Finally, GCF of Fractions for 2326/153, 6517/6030 is 1/102510.