GCF of 6781/655, 6176/6134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6781/655, 6176/6134 i.e 1/4017770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6781/655, 6176/6134.
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 6781/655,6176/6134?
Given fractions are 6781/655,6176/6134
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 6781/655,6176/6134, numerators are 6781,6176
Denominators are 655,6134
The GCF of 6781,6176 is 1 .
LCM of 655,6134 is 4017770.
The greatest common factor of 6781/655,6176/6134 = [GCF of 6781,6176]/[LCM of 655,6134]= 1/4017770
Therefore, the GCF of 6781/655,6176/6134 is 1/4017770.
To find the highest common factor of 6781,6176, we have to find the factors of both numbers and list the highest common factor.
The factors of 6781 are 1, 6781
The factors of 6176 are 1, 2, 4, 8, 16, 32, 193, 386, 772, 1544, 3088, 6176
The HCF of 6781,6176 is 1.
Lets's calculate GCF of 6781,6176
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6781,6176 By Matching Biggest Common Factor Method
Now, list down the factors of 6781
:1,6781
Now, list down the factors of 6176
:1,2,4,8,16,32,193,386,772,1544,3088,6176
Greatest Common Factor
We found the factors 6781,6176 . The biggest common factor number is the GCF number.
So the greatest common factor 6781,6176 is 1.
Lets's calculate LCM of 655,6134
Given numbers has no common factors except 1. So, there LCM is their product i.e 4017770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4017770
Therefore, the GCF of Fractions 6781/655,6176/6134 is 1/4017770
Least Common Multiple of 655,6134 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 655,6134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,6134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,6134) x common factors =1 x 1 = 1
LCM(655,6134) = ( 655 × 6134 ) / 1
LCM(655,6134) = 4017770 / 1
LCM(655,6134) = 4017770
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6781/655, 6176/6134
1. What is the HCF of 6781,6176?
The HCF of 6781,6176 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 6781/655, 6176/6134?
Answer: GCF of Numerators as per given numbers 6781/655, 6176/6134 is
GCF of Numerators i.e. for 6781,6176 is 1
LCM of denominators i.e. for 655,6134 is 4017770.
Thus, GCF of Fractions is 1/4017770.Finally, GCF of Fractions for 6781/655, 6176/6134 is 1/4017770.