GCF of 5318/457, 6632/1068
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5318/457, 6632/1068 i.e 2/488076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5318/457, 6632/1068.
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 5318/457,6632/1068?
Given fractions are 5318/457,6632/1068
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 5318/457,6632/1068, numerators are 5318,6632
Denominators are 457,1068
The GCF of 5318,6632 is 2 .
LCM of 457,1068 is 488076.
The greatest common factor of 5318/457,6632/1068 = [GCF of 5318,6632]/[LCM of 457,1068]= 2/488076
Therefore, the GCF of 5318/457,6632/1068 is 2/488076.
To find the highest common factor of 5318,6632, we have to find the factors of both numbers and list the highest common factor.
The factors of 5318 are 1, 2, 2659, 5318
The factors of 6632 are 1, 2, 4, 8, 829, 1658, 3316, 6632
The HCF of 5318,6632 is 2.
Lets's calculate GCF of 5318,6632
| 2 | 5318, 6632 |
| 2659, 3316 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5318,6632 By Matching Biggest Common Factor Method
Now, list down the factors of 5318
:1,2,2659,5318
Now, list down the factors of 6632
:1,2,4,8,829,1658,3316,6632
Greatest Common Factor
We found the factors 5318,6632 . The biggest common factor number is the GCF number.
So the greatest common factor 5318,6632 is 2.
Lets's calculate LCM of 457,1068
Given numbers has no common factors except 1. So, there LCM is their product i.e 488076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/488076
Therefore, the GCF of Fractions 5318/457,6632/1068 is 2/488076
Least Common Multiple of 457,1068 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 457,1068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,1068) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,1068) x common factors =1 x 1 = 1
LCM(457,1068) = ( 457 × 1068 ) / 1
LCM(457,1068) = 488076 / 1
LCM(457,1068) = 488076
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FAQs on GCF of Fractions of 5318/457, 6632/1068
1. What is the HCF of 5318,6632?
The HCF of 5318,6632 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 5318/457, 6632/1068?
Answer: GCF of Numerators as per given numbers 5318/457, 6632/1068 is
GCF of Numerators i.e. for 5318,6632 is 2
LCM of denominators i.e. for 457,1068 is 488076.
Thus, GCF of Fractions is 2/488076.Finally, GCF of Fractions for 5318/457, 6632/1068 is 2/488076.