GCF of 2840/434, 7464/5108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2840/434, 7464/5108 i.e 8/1108436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2840/434, 7464/5108.
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 2840/434,7464/5108?
Given fractions are 2840/434,7464/5108
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 2840/434,7464/5108, numerators are 2840,7464
Denominators are 434,5108
The GCF of 2840,7464 is 8 .
LCM of 434,5108 is 1108436.
The greatest common factor of 2840/434,7464/5108 = [GCF of 2840,7464]/[LCM of 434,5108]= 8/1108436
Therefore, the GCF of 2840/434,7464/5108 is 8/1108436.
To find the highest common factor of 2840,7464, we have to find the factors of both numbers and list the highest common factor.
The factors of 2840 are 1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840
The factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464
The HCF of 2840,7464 is 8.
Lets's calculate GCF of 2840,7464
| 2 | 2840, 7464 |
| 2 | 1420, 3732 |
| 2 | 710, 1866 |
| 355, 933 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2840,7464 By Matching Biggest Common Factor Method
Now, list down the factors of 2840
:1,2,4,5,8,10,20,40,71,142,284,355,568,710,1420,2840
Now, list down the factors of 7464
:1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464
Greatest Common Factor
We found the factors 2840,7464 . The biggest common factor number is the GCF number.
So the greatest common factor 2840,7464 is 8.
Lets's calculate LCM of 434,5108
| 2 | 434, 5108 |
| 217, 2554 |
∴ So the LCM of the given numbers is 2 x 217 x 2554 = 1108436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1108436
Therefore, the GCF of Fractions 2840/434,7464/5108 is 8/1108436
Least Common Multiple of 434,5108 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 434,5108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,5108) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(434,5108) x common factors =2 x 1 = 2
LCM(434,5108) = ( 434 × 5108 ) / 2
LCM(434,5108) = 2216872 / 2
LCM(434,5108) = 1108436
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FAQs on GCF of Fractions of 2840/434, 7464/5108
1. What is the HCF of 2840,7464?
The HCF of 2840,7464 is 8
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 2840/434, 7464/5108?
Answer: GCF of Numerators as per given numbers 2840/434, 7464/5108 is
GCF of Numerators i.e. for 2840,7464 is 8
LCM of denominators i.e. for 434,5108 is 1108436.
Thus, GCF of Fractions is 8/1108436.Finally, GCF of Fractions for 2840/434, 7464/5108 is 8/1108436.