GCF of 7855/310, 2015/1461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7855/310, 2015/1461 i.e 5/452910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7855/310, 2015/1461.
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 7855/310,2015/1461?
Given fractions are 7855/310,2015/1461
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 7855/310,2015/1461, numerators are 7855,2015
Denominators are 310,1461
The GCF of 7855,2015 is 5 .
LCM of 310,1461 is 452910.
The greatest common factor of 7855/310,2015/1461 = [GCF of 7855,2015]/[LCM of 310,1461]= 5/452910
Therefore, the GCF of 7855/310,2015/1461 is 5/452910.
To find the highest common factor of 7855,2015, we have to find the factors of both numbers and list the highest common factor.
The factors of 7855 are 1, 5, 1571, 7855
The factors of 2015 are 1, 5, 13, 31, 65, 155, 403, 2015
The HCF of 7855,2015 is 5.
Lets's calculate GCF of 7855,2015
| 5 | 7855, 2015 |
| 1571, 403 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7855,2015 By Matching Biggest Common Factor Method
Now, list down the factors of 7855
:1,5,1571,7855
Now, list down the factors of 2015
:1,5,13,31,65,155,403,2015
Greatest Common Factor
We found the factors 7855,2015 . The biggest common factor number is the GCF number.
So the greatest common factor 7855,2015 is 5.
Lets's calculate LCM of 310,1461
Given numbers has no common factors except 1. So, there LCM is their product i.e 452910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/452910
Therefore, the GCF of Fractions 7855/310,2015/1461 is 5/452910
Least Common Multiple of 310,1461 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 310,1461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,1461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(310,1461) x common factors =1 x 1 = 1
LCM(310,1461) = ( 310 × 1461 ) / 1
LCM(310,1461) = 452910 / 1
LCM(310,1461) = 452910
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FAQs on GCF of Fractions of 7855/310, 2015/1461
1. What is the HCF of 7855,2015?
The HCF of 7855,2015 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 7855/310, 2015/1461?
Answer: GCF of Numerators as per given numbers 7855/310, 2015/1461 is
GCF of Numerators i.e. for 7855,2015 is 5
LCM of denominators i.e. for 310,1461 is 452910.
Thus, GCF of Fractions is 5/452910.Finally, GCF of Fractions for 7855/310, 2015/1461 is 5/452910.