GCF of 6177/676, 1518/7731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6177/676, 1518/7731 i.e 3/5226156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6177/676, 1518/7731.
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 6177/676,1518/7731?
Given fractions are 6177/676,1518/7731
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 6177/676,1518/7731, numerators are 6177,1518
Denominators are 676,7731
The GCF of 6177,1518 is 3 .
LCM of 676,7731 is 5226156.
The greatest common factor of 6177/676,1518/7731 = [GCF of 6177,1518]/[LCM of 676,7731]= 3/5226156
Therefore, the GCF of 6177/676,1518/7731 is 3/5226156.
To find the highest common factor of 6177,1518, we have to find the factors of both numbers and list the highest common factor.
The factors of 6177 are 1, 3, 29, 71, 87, 213, 2059, 6177
The factors of 1518 are 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759, 1518
The HCF of 6177,1518 is 3.
Lets's calculate GCF of 6177,1518
| 3 | 6177, 1518 |
| 2059, 506 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6177,1518 By Matching Biggest Common Factor Method
Now, list down the factors of 6177
:1,3,29,71,87,213,2059,6177
Now, list down the factors of 1518
:1,2,3,6,11,22,23,33,46,66,69,138,253,506,759,1518
Greatest Common Factor
We found the factors 6177,1518 . The biggest common factor number is the GCF number.
So the greatest common factor 6177,1518 is 3.
Lets's calculate LCM of 676,7731
Given numbers has no common factors except 1. So, there LCM is their product i.e 5226156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5226156
Therefore, the GCF of Fractions 6177/676,1518/7731 is 3/5226156
Least Common Multiple of 676,7731 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 676,7731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,7731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(676,7731) x common factors =1 x 1 = 1
LCM(676,7731) = ( 676 × 7731 ) / 1
LCM(676,7731) = 5226156 / 1
LCM(676,7731) = 5226156
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6177/676, 1518/7731
1. What is the HCF of 6177,1518?
The HCF of 6177,1518 is 3
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 6177/676, 1518/7731?
Answer: GCF of Numerators as per given numbers 6177/676, 1518/7731 is
GCF of Numerators i.e. for 6177,1518 is 3
LCM of denominators i.e. for 676,7731 is 5226156.
Thus, GCF of Fractions is 3/5226156.Finally, GCF of Fractions for 6177/676, 1518/7731 is 3/5226156.