GCF of 1177/681, 2870/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1177/681, 2870/767 i.e 1/522327 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1177/681, 2870/767.
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 1177/681,2870/767?
Given fractions are 1177/681,2870/767
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 1177/681,2870/767, numerators are 1177,2870
Denominators are 681,767
The GCF of 1177,2870 is 1 .
LCM of 681,767 is 522327.
The greatest common factor of 1177/681,2870/767 = [GCF of 1177,2870]/[LCM of 681,767]= 1/522327
Therefore, the GCF of 1177/681,2870/767 is 1/522327.
To find the highest common factor of 1177,2870, we have to find the factors of both numbers and list the highest common factor.
The factors of 1177 are 1, 11, 107, 1177
The factors of 2870 are 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870
The HCF of 1177,2870 is 1.
Lets's calculate GCF of 1177,2870
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1177,2870 By Matching Biggest Common Factor Method
Now, list down the factors of 1177
:1,11,107,1177
Now, list down the factors of 2870
:1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870
Greatest Common Factor
We found the factors 1177,2870 . The biggest common factor number is the GCF number.
So the greatest common factor 1177,2870 is 1.
Lets's calculate LCM of 681,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 522327
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/522327
Therefore, the GCF of Fractions 1177/681,2870/767 is 1/522327
Least Common Multiple of 681,767 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 681,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,767) x common factors =1 x 1 = 1
LCM(681,767) = ( 681 × 767 ) / 1
LCM(681,767) = 522327 / 1
LCM(681,767) = 522327
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1177/681, 2870/767
1. What is the HCF of 1177,2870?
The HCF of 1177,2870 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 1177/681, 2870/767?
Answer: GCF of Numerators as per given numbers 1177/681, 2870/767 is
GCF of Numerators i.e. for 1177,2870 is 1
LCM of denominators i.e. for 681,767 is 522327.
Thus, GCF of Fractions is 1/522327.Finally, GCF of Fractions for 1177/681, 2870/767 is 1/522327.