GCF of 7585/715, 1113/902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7585/715, 1113/902 i.e 1/58630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7585/715, 1113/902.
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 7585/715,1113/902?
Given fractions are 7585/715,1113/902
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 7585/715,1113/902, numerators are 7585,1113
Denominators are 715,902
The GCF of 7585,1113 is 1 .
LCM of 715,902 is 58630.
The greatest common factor of 7585/715,1113/902 = [GCF of 7585,1113]/[LCM of 715,902]= 1/58630
Therefore, the GCF of 7585/715,1113/902 is 1/58630.
To find the highest common factor of 7585,1113, 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 1113 are 1, 3, 7, 21, 53, 159, 371, 1113
The HCF of 7585,1113 is 1.
Lets's calculate GCF of 7585,1113
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7585,1113 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 1113
:1,3,7,21,53,159,371,1113
Greatest Common Factor
We found the factors 7585,1113 . The biggest common factor number is the GCF number.
So the greatest common factor 7585,1113 is 1.
Lets's calculate LCM of 715,902
| 11 | 715, 902 |
| 65, 82 |
∴ So the LCM of the given numbers is 11 x 65 x 82 = 58630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58630
Therefore, the GCF of Fractions 7585/715,1113/902 is 1/58630
Least Common Multiple of 715,902 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 715,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,902) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(715,902) x common factors =11 x 1 = 11
LCM(715,902) = ( 715 × 902 ) / 11
LCM(715,902) = 644930 / 11
LCM(715,902) = 58630
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FAQs on GCF of Fractions of 7585/715, 1113/902
1. What is the HCF of 7585,1113?
The HCF of 7585,1113 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 7585/715, 1113/902?
Answer: GCF of Numerators as per given numbers 7585/715, 1113/902 is
GCF of Numerators i.e. for 7585,1113 is 1
LCM of denominators i.e. for 715,902 is 58630.
Thus, GCF of Fractions is 1/58630.Finally, GCF of Fractions for 7585/715, 1113/902 is 1/58630.