GCF of 2878/818, 7580/6667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2878/818, 7580/6667 i.e 2/5453606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2878/818, 7580/6667.
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 2878/818,7580/6667?
Given fractions are 2878/818,7580/6667
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 2878/818,7580/6667, numerators are 2878,7580
Denominators are 818,6667
The GCF of 2878,7580 is 2 .
LCM of 818,6667 is 5453606.
The greatest common factor of 2878/818,7580/6667 = [GCF of 2878,7580]/[LCM of 818,6667]= 2/5453606
Therefore, the GCF of 2878/818,7580/6667 is 2/5453606.
To find the highest common factor of 2878,7580, we have to find the factors of both numbers and list the highest common factor.
The factors of 2878 are 1, 2, 1439, 2878
The factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580
The HCF of 2878,7580 is 2.
Lets's calculate GCF of 2878,7580
| 2 | 2878, 7580 |
| 1439, 3790 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2878,7580 By Matching Biggest Common Factor Method
Now, list down the factors of 2878
:1,2,1439,2878
Now, list down the factors of 7580
:1,2,4,5,10,20,379,758,1516,1895,3790,7580
Greatest Common Factor
We found the factors 2878,7580 . The biggest common factor number is the GCF number.
So the greatest common factor 2878,7580 is 2.
Lets's calculate LCM of 818,6667
Given numbers has no common factors except 1. So, there LCM is their product i.e 5453606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5453606
Therefore, the GCF of Fractions 2878/818,7580/6667 is 2/5453606
Least Common Multiple of 818,6667 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 818,6667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,6667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(818,6667) x common factors =1 x 1 = 1
LCM(818,6667) = ( 818 × 6667 ) / 1
LCM(818,6667) = 5453606 / 1
LCM(818,6667) = 5453606
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FAQs on GCF of Fractions of 2878/818, 7580/6667
1. What is the HCF of 2878,7580?
The HCF of 2878,7580 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 2878/818, 7580/6667?
Answer: GCF of Numerators as per given numbers 2878/818, 7580/6667 is
GCF of Numerators i.e. for 2878,7580 is 2
LCM of denominators i.e. for 818,6667 is 5453606.
Thus, GCF of Fractions is 2/5453606.Finally, GCF of Fractions for 2878/818, 7580/6667 is 2/5453606.