GCF of 6240/291, 6778/2878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6240/291, 6778/2878 i.e 2/837498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6240/291, 6778/2878.
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 6240/291,6778/2878?
Given fractions are 6240/291,6778/2878
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 6240/291,6778/2878, numerators are 6240,6778
Denominators are 291,2878
The GCF of 6240,6778 is 2 .
LCM of 291,2878 is 837498.
The greatest common factor of 6240/291,6778/2878 = [GCF of 6240,6778]/[LCM of 291,2878]= 2/837498
Therefore, the GCF of 6240/291,6778/2878 is 2/837498.
To find the highest common factor of 6240,6778, we have to find the factors of both numbers and list the highest common factor.
The factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240
The factors of 6778 are 1, 2, 3389, 6778
The HCF of 6240,6778 is 2.
Lets's calculate GCF of 6240,6778
| 2 | 6240, 6778 |
| 3120, 3389 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6240,6778 By Matching Biggest Common Factor Method
Now, list down the factors of 6240
:1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,32,39,40,48,52,60,65,78,80,96,104,120,130,156,160,195,208,240,260,312,390,416,480,520,624,780,1040,1248,1560,2080,3120,6240
Now, list down the factors of 6778
:1,2,3389,6778
Greatest Common Factor
We found the factors 6240,6778 . The biggest common factor number is the GCF number.
So the greatest common factor 6240,6778 is 2.
Lets's calculate LCM of 291,2878
Given numbers has no common factors except 1. So, there LCM is their product i.e 837498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/837498
Therefore, the GCF of Fractions 6240/291,6778/2878 is 2/837498
Least Common Multiple of 291,2878 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 291,2878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,2878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,2878) x common factors =1 x 1 = 1
LCM(291,2878) = ( 291 × 2878 ) / 1
LCM(291,2878) = 837498 / 1
LCM(291,2878) = 837498
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FAQs on GCF of Fractions of 6240/291, 6778/2878
1. What is the HCF of 6240,6778?
The HCF of 6240,6778 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 6240/291, 6778/2878?
Answer: GCF of Numerators as per given numbers 6240/291, 6778/2878 is
GCF of Numerators i.e. for 6240,6778 is 2
LCM of denominators i.e. for 291,2878 is 837498.
Thus, GCF of Fractions is 2/837498.Finally, GCF of Fractions for 6240/291, 6778/2878 is 2/837498.