GCF of 2585/676, 3215/8270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2585/676, 3215/8270 i.e 5/2795260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2585/676, 3215/8270.
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 2585/676,3215/8270?
Given fractions are 2585/676,3215/8270
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 2585/676,3215/8270, numerators are 2585,3215
Denominators are 676,8270
The GCF of 2585,3215 is 5 .
LCM of 676,8270 is 2795260.
The greatest common factor of 2585/676,3215/8270 = [GCF of 2585,3215]/[LCM of 676,8270]= 5/2795260
Therefore, the GCF of 2585/676,3215/8270 is 5/2795260.
To find the highest common factor of 2585,3215, we have to find the factors of both numbers and list the highest common factor.
The factors of 2585 are 1, 5, 11, 47, 55, 235, 517, 2585
The factors of 3215 are 1, 5, 643, 3215
The HCF of 2585,3215 is 5.
Lets's calculate GCF of 2585,3215
| 5 | 2585, 3215 |
| 517, 643 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2585,3215 By Matching Biggest Common Factor Method
Now, list down the factors of 2585
:1,5,11,47,55,235,517,2585
Now, list down the factors of 3215
:1,5,643,3215
Greatest Common Factor
We found the factors 2585,3215 . The biggest common factor number is the GCF number.
So the greatest common factor 2585,3215 is 5.
Lets's calculate LCM of 676,8270
| 2 | 676, 8270 |
| 338, 4135 |
∴ So the LCM of the given numbers is 2 x 338 x 4135 = 2795260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2795260
Therefore, the GCF of Fractions 2585/676,3215/8270 is 5/2795260
Least Common Multiple of 676,8270 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 676,8270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,8270) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(676,8270) x common factors =2 x 1 = 2
LCM(676,8270) = ( 676 × 8270 ) / 2
LCM(676,8270) = 5590520 / 2
LCM(676,8270) = 2795260
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FAQs on GCF of Fractions of 2585/676, 3215/8270
1. What is the HCF of 2585,3215?
The HCF of 2585,3215 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 2585/676, 3215/8270?
Answer: GCF of Numerators as per given numbers 2585/676, 3215/8270 is
GCF of Numerators i.e. for 2585,3215 is 5
LCM of denominators i.e. for 676,8270 is 2795260.
Thus, GCF of Fractions is 5/2795260.Finally, GCF of Fractions for 2585/676, 3215/8270 is 5/2795260.