GCF of 1326/569, 6175/1502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1326/569, 6175/1502 i.e 13/854638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1326/569, 6175/1502.
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 1326/569,6175/1502?
Given fractions are 1326/569,6175/1502
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 1326/569,6175/1502, numerators are 1326,6175
Denominators are 569,1502
The GCF of 1326,6175 is 13 .
LCM of 569,1502 is 854638.
The greatest common factor of 1326/569,6175/1502 = [GCF of 1326,6175]/[LCM of 569,1502]= 13/854638
Therefore, the GCF of 1326/569,6175/1502 is 13/854638.
To find the highest common factor of 1326,6175, we have to find the factors of both numbers and list the highest common factor.
The factors of 1326 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 442, 663, 1326
The factors of 6175 are 1, 5, 13, 19, 25, 65, 95, 247, 325, 475, 1235, 6175
The HCF of 1326,6175 is 13.
Lets's calculate GCF of 1326,6175
| 13 | 1326, 6175 |
| 102, 475 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1326,6175 By Matching Biggest Common Factor Method
Now, list down the factors of 1326
:1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326
Now, list down the factors of 6175
:1,5,13,19,25,65,95,247,325,475,1235,6175
Greatest Common Factor
We found the factors 1326,6175 . The biggest common factor number is the GCF number.
So the greatest common factor 1326,6175 is 13.
Lets's calculate LCM of 569,1502
Given numbers has no common factors except 1. So, there LCM is their product i.e 854638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/854638
Therefore, the GCF of Fractions 1326/569,6175/1502 is 13/854638
Least Common Multiple of 569,1502 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 569,1502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,1502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,1502) x common factors =1 x 1 = 1
LCM(569,1502) = ( 569 × 1502 ) / 1
LCM(569,1502) = 854638 / 1
LCM(569,1502) = 854638
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FAQs on GCF of Fractions of 1326/569, 6175/1502
1. What is the HCF of 1326,6175?
The HCF of 1326,6175 is 13
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 1326/569, 6175/1502?
Answer: GCF of Numerators as per given numbers 1326/569, 6175/1502 is
GCF of Numerators i.e. for 1326,6175 is 13
LCM of denominators i.e. for 569,1502 is 854638.
Thus, GCF of Fractions is 13/854638.Finally, GCF of Fractions for 1326/569, 6175/1502 is 13/854638.