GCF of 9937/137, 9414/486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9937/137, 9414/486 i.e 523/66582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9937/137, 9414/486.
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 9937/137,9414/486?
Given fractions are 9937/137,9414/486
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 9937/137,9414/486, numerators are 9937,9414
Denominators are 137,486
The GCF of 9937,9414 is 523 .
LCM of 137,486 is 66582.
The greatest common factor of 9937/137,9414/486 = [GCF of 9937,9414]/[LCM of 137,486]= 523/66582
Therefore, the GCF of 9937/137,9414/486 is 523/66582.
To find the highest common factor of 9937,9414, we have to find the factors of both numbers and list the highest common factor.
The factors of 9937 are 1, 19, 523, 9937
The factors of 9414 are 1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414
The HCF of 9937,9414 is 523.
Lets's calculate GCF of 9937,9414
| 523 | 9937, 9414 |
| 19, 18 |
∴ So the GCF of the given numbers is 523 = 523
Greatest Common Factor of 9937,9414 By Matching Biggest Common Factor Method
Now, list down the factors of 9937
:1,19,523,9937
Now, list down the factors of 9414
:1,2,3,6,9,18,523,1046,1569,3138,4707,9414
Greatest Common Factor
We found the factors 9937,9414 . The biggest common factor number is the GCF number.
So the greatest common factor 9937,9414 is 523.
Lets's calculate LCM of 137,486
Given numbers has no common factors except 1. So, there LCM is their product i.e 66582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 523/66582
Therefore, the GCF of Fractions 9937/137,9414/486 is 523/66582
Least Common Multiple of 137,486 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 137,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,486) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,486) x common factors =1 x 1 = 1
LCM(137,486) = ( 137 × 486 ) / 1
LCM(137,486) = 66582 / 1
LCM(137,486) = 66582
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FAQs on GCF of Fractions of 9937/137, 9414/486
1. What is the HCF of 9937,9414?
The HCF of 9937,9414 is 523
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 9937/137, 9414/486?
Answer: GCF of Numerators as per given numbers 9937/137, 9414/486 is
GCF of Numerators i.e. for 9937,9414 is 523
LCM of denominators i.e. for 137,486 is 66582.
Thus, GCF of Fractions is 523/66582.Finally, GCF of Fractions for 9937/137, 9414/486 is 523/66582.