GCF of 2585/946, 6345/1813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2585/946, 6345/1813 i.e 235/1715098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2585/946, 6345/1813.
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 2585/946,6345/1813?
Given fractions are 2585/946,6345/1813
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 2585/946,6345/1813, numerators are 2585,6345
Denominators are 946,1813
The GCF of 2585,6345 is 235 .
LCM of 946,1813 is 1715098.
The greatest common factor of 2585/946,6345/1813 = [GCF of 2585,6345]/[LCM of 946,1813]= 235/1715098
Therefore, the GCF of 2585/946,6345/1813 is 235/1715098.
To find the highest common factor of 2585,6345, 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 6345 are 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345
The HCF of 2585,6345 is 235.
Lets's calculate GCF of 2585,6345
| 5 | 2585, 6345 |
| 47 | 517, 1269 |
| 11, 27 |
∴ So the GCF of the given numbers is 5 x 47 = 235
Greatest Common Factor of 2585,6345 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 6345
:1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345
Greatest Common Factor
We found the factors 2585,6345 . The biggest common factor number is the GCF number.
So the greatest common factor 2585,6345 is 235.
Lets's calculate LCM of 946,1813
Given numbers has no common factors except 1. So, there LCM is their product i.e 1715098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 235/1715098
Therefore, the GCF of Fractions 2585/946,6345/1813 is 235/1715098
Least Common Multiple of 946,1813 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 946,1813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,1813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(946,1813) x common factors =1 x 1 = 1
LCM(946,1813) = ( 946 × 1813 ) / 1
LCM(946,1813) = 1715098 / 1
LCM(946,1813) = 1715098
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FAQs on GCF of Fractions of 2585/946, 6345/1813
1. What is the HCF of 2585,6345?
The HCF of 2585,6345 is 235
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 2585/946, 6345/1813?
Answer: GCF of Numerators as per given numbers 2585/946, 6345/1813 is
GCF of Numerators i.e. for 2585,6345 is 235
LCM of denominators i.e. for 946,1813 is 1715098.
Thus, GCF of Fractions is 235/1715098.Finally, GCF of Fractions for 2585/946, 6345/1813 is 235/1715098.