GCF of 8355/380, 2778/109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8355/380, 2778/109 i.e 3/41420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8355/380, 2778/109.
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 8355/380,2778/109?
Given fractions are 8355/380,2778/109
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 8355/380,2778/109, numerators are 8355,2778
Denominators are 380,109
The GCF of 8355,2778 is 3 .
LCM of 380,109 is 41420.
The greatest common factor of 8355/380,2778/109 = [GCF of 8355,2778]/[LCM of 380,109]= 3/41420
Therefore, the GCF of 8355/380,2778/109 is 3/41420.
To find the highest common factor of 8355,2778, we have to find the factors of both numbers and list the highest common factor.
The factors of 8355 are 1, 3, 5, 15, 557, 1671, 2785, 8355
The factors of 2778 are 1, 2, 3, 6, 463, 926, 1389, 2778
The HCF of 8355,2778 is 3.
Lets's calculate GCF of 8355,2778
| 3 | 8355, 2778 |
| 2785, 926 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8355,2778 By Matching Biggest Common Factor Method
Now, list down the factors of 8355
:1,3,5,15,557,1671,2785,8355
Now, list down the factors of 2778
:1,2,3,6,463,926,1389,2778
Greatest Common Factor
We found the factors 8355,2778 . The biggest common factor number is the GCF number.
So the greatest common factor 8355,2778 is 3.
Lets's calculate LCM of 380,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 41420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/41420
Therefore, the GCF of Fractions 8355/380,2778/109 is 3/41420
Least Common Multiple of 380,109 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 380,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(380,109) x common factors =1 x 1 = 1
LCM(380,109) = ( 380 × 109 ) / 1
LCM(380,109) = 41420 / 1
LCM(380,109) = 41420
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8355/380, 2778/109
1. What is the HCF of 8355,2778?
The HCF of 8355,2778 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 8355/380, 2778/109?
Answer: GCF of Numerators as per given numbers 8355/380, 2778/109 is
GCF of Numerators i.e. for 8355,2778 is 3
LCM of denominators i.e. for 380,109 is 41420.
Thus, GCF of Fractions is 3/41420.Finally, GCF of Fractions for 8355/380, 2778/109 is 3/41420.