GCF of 7585/625, 1205/5324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7585/625, 1205/5324 i.e 5/3327500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7585/625, 1205/5324.
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 7585/625,1205/5324?
Given fractions are 7585/625,1205/5324
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 7585/625,1205/5324, numerators are 7585,1205
Denominators are 625,5324
The GCF of 7585,1205 is 5 .
LCM of 625,5324 is 3327500.
The greatest common factor of 7585/625,1205/5324 = [GCF of 7585,1205]/[LCM of 625,5324]= 5/3327500
Therefore, the GCF of 7585/625,1205/5324 is 5/3327500.
To find the highest common factor of 7585,1205, we have to find the factors of both numbers and list the highest common factor.
The factors of 7585 are 1, 5, 37, 41, 185, 205, 1517, 7585
The factors of 1205 are 1, 5, 241, 1205
The HCF of 7585,1205 is 5.
Lets's calculate GCF of 7585,1205
| 5 | 7585, 1205 |
| 1517, 241 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7585,1205 By Matching Biggest Common Factor Method
Now, list down the factors of 7585
:1,5,37,41,185,205,1517,7585
Now, list down the factors of 1205
:1,5,241,1205
Greatest Common Factor
We found the factors 7585,1205 . The biggest common factor number is the GCF number.
So the greatest common factor 7585,1205 is 5.
Lets's calculate LCM of 625,5324
Given numbers has no common factors except 1. So, there LCM is their product i.e 3327500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3327500
Therefore, the GCF of Fractions 7585/625,1205/5324 is 5/3327500
Least Common Multiple of 625,5324 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 625,5324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,5324) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,5324) x common factors =1 x 1 = 1
LCM(625,5324) = ( 625 × 5324 ) / 1
LCM(625,5324) = 3327500 / 1
LCM(625,5324) = 3327500
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FAQs on GCF of Fractions of 7585/625, 1205/5324
1. What is the HCF of 7585,1205?
The HCF of 7585,1205 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 7585/625, 1205/5324?
Answer: GCF of Numerators as per given numbers 7585/625, 1205/5324 is
GCF of Numerators i.e. for 7585,1205 is 5
LCM of denominators i.e. for 625,5324 is 3327500.
Thus, GCF of Fractions is 5/3327500.Finally, GCF of Fractions for 7585/625, 1205/5324 is 5/3327500.