GCF of 6778/447, 8818/1187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6778/447, 8818/1187 i.e 2/530589 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6778/447, 8818/1187.
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 6778/447,8818/1187?
Given fractions are 6778/447,8818/1187
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 6778/447,8818/1187, numerators are 6778,8818
Denominators are 447,1187
The GCF of 6778,8818 is 2 .
LCM of 447,1187 is 530589.
The greatest common factor of 6778/447,8818/1187 = [GCF of 6778,8818]/[LCM of 447,1187]= 2/530589
Therefore, the GCF of 6778/447,8818/1187 is 2/530589.
To find the highest common factor of 6778,8818, we have to find the factors of both numbers and list the highest common factor.
The factors of 6778 are 1, 2, 3389, 6778
The factors of 8818 are 1, 2, 4409, 8818
The HCF of 6778,8818 is 2.
Lets's calculate GCF of 6778,8818
| 2 | 6778, 8818 |
| 3389, 4409 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6778,8818 By Matching Biggest Common Factor Method
Now, list down the factors of 6778
:1,2,3389,6778
Now, list down the factors of 8818
:1,2,4409,8818
Greatest Common Factor
We found the factors 6778,8818 . The biggest common factor number is the GCF number.
So the greatest common factor 6778,8818 is 2.
Lets's calculate LCM of 447,1187
Given numbers has no common factors except 1. So, there LCM is their product i.e 530589
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/530589
Therefore, the GCF of Fractions 6778/447,8818/1187 is 2/530589
Least Common Multiple of 447,1187 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 447,1187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,1187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(447,1187) x common factors =1 x 1 = 1
LCM(447,1187) = ( 447 × 1187 ) / 1
LCM(447,1187) = 530589 / 1
LCM(447,1187) = 530589
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6778/447, 8818/1187
1. What is the HCF of 6778,8818?
The HCF of 6778,8818 is 2
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 6778/447, 8818/1187?
Answer: GCF of Numerators as per given numbers 6778/447, 8818/1187 is
GCF of Numerators i.e. for 6778,8818 is 2
LCM of denominators i.e. for 447,1187 is 530589.
Thus, GCF of Fractions is 2/530589.Finally, GCF of Fractions for 6778/447, 8818/1187 is 2/530589.