GCF of 5678/455, 6490/6960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5678/455, 6490/6960 i.e 2/633360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5678/455, 6490/6960.
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 5678/455,6490/6960?
Given fractions are 5678/455,6490/6960
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 5678/455,6490/6960, numerators are 5678,6490
Denominators are 455,6960
The GCF of 5678,6490 is 2 .
LCM of 455,6960 is 633360.
The greatest common factor of 5678/455,6490/6960 = [GCF of 5678,6490]/[LCM of 455,6960]= 2/633360
Therefore, the GCF of 5678/455,6490/6960 is 2/633360.
To find the highest common factor of 5678,6490, we have to find the factors of both numbers and list the highest common factor.
The factors of 5678 are 1, 2, 17, 34, 167, 334, 2839, 5678
The factors of 6490 are 1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490
The HCF of 5678,6490 is 2.
Lets's calculate GCF of 5678,6490
| 2 | 5678, 6490 |
| 2839, 3245 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5678,6490 By Matching Biggest Common Factor Method
Now, list down the factors of 5678
:1,2,17,34,167,334,2839,5678
Now, list down the factors of 6490
:1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490
Greatest Common Factor
We found the factors 5678,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 5678,6490 is 2.
Lets's calculate LCM of 455,6960
| 5 | 455, 6960 |
| 91, 1392 |
∴ So the LCM of the given numbers is 5 x 91 x 1392 = 633360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/633360
Therefore, the GCF of Fractions 5678/455,6490/6960 is 2/633360
Least Common Multiple of 455,6960 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 455,6960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,6960) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(455,6960) x common factors =5 x 1 = 5
LCM(455,6960) = ( 455 × 6960 ) / 5
LCM(455,6960) = 3166800 / 5
LCM(455,6960) = 633360
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FAQs on GCF of Fractions of 5678/455, 6490/6960
1. What is the HCF of 5678,6490?
The HCF of 5678,6490 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 5678/455, 6490/6960?
Answer: GCF of Numerators as per given numbers 5678/455, 6490/6960 is
GCF of Numerators i.e. for 5678,6490 is 2
LCM of denominators i.e. for 455,6960 is 633360.
Thus, GCF of Fractions is 2/633360.Finally, GCF of Fractions for 5678/455, 6490/6960 is 2/633360.