GCF of 5861/301, 7870/775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5861/301, 7870/775 i.e 1/233275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5861/301, 7870/775.
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 5861/301,7870/775?
Given fractions are 5861/301,7870/775
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 5861/301,7870/775, numerators are 5861,7870
Denominators are 301,775
The GCF of 5861,7870 is 1 .
LCM of 301,775 is 233275.
The greatest common factor of 5861/301,7870/775 = [GCF of 5861,7870]/[LCM of 301,775]= 1/233275
Therefore, the GCF of 5861/301,7870/775 is 1/233275.
To find the highest common factor of 5861,7870, we have to find the factors of both numbers and list the highest common factor.
The factors of 5861 are 1, 5861
The factors of 7870 are 1, 2, 5, 10, 787, 1574, 3935, 7870
The HCF of 5861,7870 is 1.
Lets's calculate GCF of 5861,7870
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5861,7870 By Matching Biggest Common Factor Method
Now, list down the factors of 5861
:1,5861
Now, list down the factors of 7870
:1,2,5,10,787,1574,3935,7870
Greatest Common Factor
We found the factors 5861,7870 . The biggest common factor number is the GCF number.
So the greatest common factor 5861,7870 is 1.
Lets's calculate LCM of 301,775
Given numbers has no common factors except 1. So, there LCM is their product i.e 233275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233275
Therefore, the GCF of Fractions 5861/301,7870/775 is 1/233275
Least Common Multiple of 301,775 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 301,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,775) x common factors =1 x 1 = 1
LCM(301,775) = ( 301 × 775 ) / 1
LCM(301,775) = 233275 / 1
LCM(301,775) = 233275
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FAQs on GCF of Fractions of 5861/301, 7870/775
1. What is the HCF of 5861,7870?
The HCF of 5861,7870 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 5861/301, 7870/775?
Answer: GCF of Numerators as per given numbers 5861/301, 7870/775 is
GCF of Numerators i.e. for 5861,7870 is 1
LCM of denominators i.e. for 301,775 is 233275.
Thus, GCF of Fractions is 1/233275.Finally, GCF of Fractions for 5861/301, 7870/775 is 1/233275.