GCF of 5625/705, 2915/817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5625/705, 2915/817 i.e 5/575985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5625/705, 2915/817.
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 5625/705,2915/817?
Given fractions are 5625/705,2915/817
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 5625/705,2915/817, numerators are 5625,2915
Denominators are 705,817
The GCF of 5625,2915 is 5 .
LCM of 705,817 is 575985.
The greatest common factor of 5625/705,2915/817 = [GCF of 5625,2915]/[LCM of 705,817]= 5/575985
Therefore, the GCF of 5625/705,2915/817 is 5/575985.
To find the highest common factor of 5625,2915, we have to find the factors of both numbers and list the highest common factor.
The factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625
The factors of 2915 are 1, 5, 11, 53, 55, 265, 583, 2915
The HCF of 5625,2915 is 5.
Lets's calculate GCF of 5625,2915
| 5 | 5625, 2915 |
| 1125, 583 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5625,2915 By Matching Biggest Common Factor Method
Now, list down the factors of 5625
:1,3,5,9,15,25,45,75,125,225,375,625,1125,1875,5625
Now, list down the factors of 2915
:1,5,11,53,55,265,583,2915
Greatest Common Factor
We found the factors 5625,2915 . The biggest common factor number is the GCF number.
So the greatest common factor 5625,2915 is 5.
Lets's calculate LCM of 705,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 575985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/575985
Therefore, the GCF of Fractions 5625/705,2915/817 is 5/575985
Least Common Multiple of 705,817 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 705,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,817) x common factors =1 x 1 = 1
LCM(705,817) = ( 705 × 817 ) / 1
LCM(705,817) = 575985 / 1
LCM(705,817) = 575985
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FAQs on GCF of Fractions of 5625/705, 2915/817
1. What is the HCF of 5625,2915?
The HCF of 5625,2915 is 5
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 5625/705, 2915/817?
Answer: GCF of Numerators as per given numbers 5625/705, 2915/817 is
GCF of Numerators i.e. for 5625,2915 is 5
LCM of denominators i.e. for 705,817 is 575985.
Thus, GCF of Fractions is 5/575985.Finally, GCF of Fractions for 5625/705, 2915/817 is 5/575985.