GCF of 341/870, 2595/9048
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 341/870, 2595/9048 i.e 1/45240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/870, 2595/9048.
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 341/870,2595/9048?
Given fractions are 341/870,2595/9048
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 341/870,2595/9048, numerators are 341,2595
Denominators are 870,9048
The GCF of 341,2595 is 1 .
LCM of 870,9048 is 45240.
The greatest common factor of 341/870,2595/9048 = [GCF of 341,2595]/[LCM of 870,9048]= 1/45240
Therefore, the GCF of 341/870,2595/9048 is 1/45240.
To find the highest common factor of 341,2595, we have to find the factors of both numbers and list the highest common factor.
The factors of 341 are 1, 11, 31, 341
The factors of 2595 are 1, 3, 5, 15, 173, 519, 865, 2595
The HCF of 341,2595 is 1.
Lets's calculate GCF of 341,2595
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 341,2595 By Matching Biggest Common Factor Method
Now, list down the factors of 341
:1,11,31,341
Now, list down the factors of 2595
:1,3,5,15,173,519,865,2595
Greatest Common Factor
We found the factors 341,2595 . The biggest common factor number is the GCF number.
So the greatest common factor 341,2595 is 1.
Lets's calculate LCM of 870,9048
| 2 | 870, 9048 |
| 3 | 435, 4524 |
| 29 | 145, 1508 |
| 5, 52 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 5 x 52 = 45240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45240
Therefore, the GCF of Fractions 341/870,2595/9048 is 1/45240
Least Common Multiple of 870,9048 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 870,9048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,9048) = 174
common factors(in case of two or more numbers have common factors) = 1
GCF(870,9048) x common factors =174 x 1 = 174
LCM(870,9048) = ( 870 × 9048 ) / 174
LCM(870,9048) = 7871760 / 174
LCM(870,9048) = 45240
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FAQs on GCF of Fractions of 341/870, 2595/9048
1. What is the HCF of 341,2595?
The HCF of 341,2595 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 341/870, 2595/9048?
Answer: GCF of Numerators as per given numbers 341/870, 2595/9048 is
GCF of Numerators i.e. for 341,2595 is 1
LCM of denominators i.e. for 870,9048 is 45240.
Thus, GCF of Fractions is 1/45240.Finally, GCF of Fractions for 341/870, 2595/9048 is 1/45240.