GCF of 637/383, 5908/1105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/383, 5908/1105 i.e 7/423215 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/383, 5908/1105.
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 637/383,5908/1105?
Given fractions are 637/383,5908/1105
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 637/383,5908/1105, numerators are 637,5908
Denominators are 383,1105
The GCF of 637,5908 is 7 .
LCM of 383,1105 is 423215.
The greatest common factor of 637/383,5908/1105 = [GCF of 637,5908]/[LCM of 383,1105]= 7/423215
Therefore, the GCF of 637/383,5908/1105 is 7/423215.
To find the highest common factor of 637,5908, we have to find the factors of both numbers and list the highest common factor.
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 5908 are 1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908
The HCF of 637,5908 is 7.
Lets's calculate GCF of 637,5908
| 7 | 637, 5908 |
| 91, 844 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 637,5908 By Matching Biggest Common Factor Method
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 5908
:1,2,4,7,14,28,211,422,844,1477,2954,5908
Greatest Common Factor
We found the factors 637,5908 . The biggest common factor number is the GCF number.
So the greatest common factor 637,5908 is 7.
Lets's calculate LCM of 383,1105
Given numbers has no common factors except 1. So, there LCM is their product i.e 423215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/423215
Therefore, the GCF of Fractions 637/383,5908/1105 is 7/423215
Least Common Multiple of 383,1105 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 383,1105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,1105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,1105) x common factors =1 x 1 = 1
LCM(383,1105) = ( 383 × 1105 ) / 1
LCM(383,1105) = 423215 / 1
LCM(383,1105) = 423215
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FAQs on GCF of Fractions of 637/383, 5908/1105
1. What is the HCF of 637,5908?
The HCF of 637,5908 is 7
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 637/383, 5908/1105?
Answer: GCF of Numerators as per given numbers 637/383, 5908/1105 is
GCF of Numerators i.e. for 637,5908 is 7
LCM of denominators i.e. for 383,1105 is 423215.
Thus, GCF of Fractions is 7/423215.Finally, GCF of Fractions for 637/383, 5908/1105 is 7/423215.