GCF of 1352/517, 2577/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1352/517, 2577/825 i.e 1/38775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1352/517, 2577/825.
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 1352/517,2577/825?
Given fractions are 1352/517,2577/825
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 1352/517,2577/825, numerators are 1352,2577
Denominators are 517,825
The GCF of 1352,2577 is 1 .
LCM of 517,825 is 38775.
The greatest common factor of 1352/517,2577/825 = [GCF of 1352,2577]/[LCM of 517,825]= 1/38775
Therefore, the GCF of 1352/517,2577/825 is 1/38775.
To find the highest common factor of 1352,2577, we have to find the factors of both numbers and list the highest common factor.
The factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352
The factors of 2577 are 1, 3, 859, 2577
The HCF of 1352,2577 is 1.
Lets's calculate GCF of 1352,2577
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1352,2577 By Matching Biggest Common Factor Method
Now, list down the factors of 1352
:1,2,4,8,13,26,52,104,169,338,676,1352
Now, list down the factors of 2577
:1,3,859,2577
Greatest Common Factor
We found the factors 1352,2577 . The biggest common factor number is the GCF number.
So the greatest common factor 1352,2577 is 1.
Lets's calculate LCM of 517,825
| 11 | 517, 825 |
| 47, 75 |
∴ So the LCM of the given numbers is 11 x 47 x 75 = 38775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38775
Therefore, the GCF of Fractions 1352/517,2577/825 is 1/38775
Least Common Multiple of 517,825 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 517,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,825) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(517,825) x common factors =11 x 1 = 11
LCM(517,825) = ( 517 × 825 ) / 11
LCM(517,825) = 426525 / 11
LCM(517,825) = 38775
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FAQs on GCF of Fractions of 1352/517, 2577/825
1. What is the HCF of 1352,2577?
The HCF of 1352,2577 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 1352/517, 2577/825?
Answer: GCF of Numerators as per given numbers 1352/517, 2577/825 is
GCF of Numerators i.e. for 1352,2577 is 1
LCM of denominators i.e. for 517,825 is 38775.
Thus, GCF of Fractions is 1/38775.Finally, GCF of Fractions for 1352/517, 2577/825 is 1/38775.