GCF of 5986/757, 9498/157
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5986/757, 9498/157 i.e 2/118849 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5986/757, 9498/157.
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 5986/757,9498/157?
Given fractions are 5986/757,9498/157
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 5986/757,9498/157, numerators are 5986,9498
Denominators are 757,157
The GCF of 5986,9498 is 2 .
LCM of 757,157 is 118849.
The greatest common factor of 5986/757,9498/157 = [GCF of 5986,9498]/[LCM of 757,157]= 2/118849
Therefore, the GCF of 5986/757,9498/157 is 2/118849.
To find the highest common factor of 5986,9498, we have to find the factors of both numbers and list the highest common factor.
The factors of 5986 are 1, 2, 41, 73, 82, 146, 2993, 5986
The factors of 9498 are 1, 2, 3, 6, 1583, 3166, 4749, 9498
The HCF of 5986,9498 is 2.
Lets's calculate GCF of 5986,9498
| 2 | 5986, 9498 |
| 2993, 4749 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5986,9498 By Matching Biggest Common Factor Method
Now, list down the factors of 5986
:1,2,41,73,82,146,2993,5986
Now, list down the factors of 9498
:1,2,3,6,1583,3166,4749,9498
Greatest Common Factor
We found the factors 5986,9498 . The biggest common factor number is the GCF number.
So the greatest common factor 5986,9498 is 2.
Lets's calculate LCM of 757,157
Given numbers has no common factors except 1. So, there LCM is their product i.e 118849
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118849
Therefore, the GCF of Fractions 5986/757,9498/157 is 2/118849
Least Common Multiple of 757,157 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 757,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,157) x common factors =1 x 1 = 1
LCM(757,157) = ( 757 × 157 ) / 1
LCM(757,157) = 118849 / 1
LCM(757,157) = 118849
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FAQs on GCF of Fractions of 5986/757, 9498/157
1. What is the HCF of 5986,9498?
The HCF of 5986,9498 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 5986/757, 9498/157?
Answer: GCF of Numerators as per given numbers 5986/757, 9498/157 is
GCF of Numerators i.e. for 5986,9498 is 2
LCM of denominators i.e. for 757,157 is 118849.
Thus, GCF of Fractions is 2/118849.Finally, GCF of Fractions for 5986/757, 9498/157 is 2/118849.