GCF of 5957/358, 8036/258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5957/358, 8036/258 i.e 7/46182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5957/358, 8036/258.
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 5957/358,8036/258?
Given fractions are 5957/358,8036/258
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 5957/358,8036/258, numerators are 5957,8036
Denominators are 358,258
The GCF of 5957,8036 is 7 .
LCM of 358,258 is 46182.
The greatest common factor of 5957/358,8036/258 = [GCF of 5957,8036]/[LCM of 358,258]= 7/46182
Therefore, the GCF of 5957/358,8036/258 is 7/46182.
To find the highest common factor of 5957,8036, we have to find the factors of both numbers and list the highest common factor.
The factors of 5957 are 1, 7, 23, 37, 161, 259, 851, 5957
The factors of 8036 are 1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 574, 1148, 2009, 4018, 8036
The HCF of 5957,8036 is 7.
Lets's calculate GCF of 5957,8036
| 7 | 5957, 8036 |
| 851, 1148 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5957,8036 By Matching Biggest Common Factor Method
Now, list down the factors of 5957
:1,7,23,37,161,259,851,5957
Now, list down the factors of 8036
:1,2,4,7,14,28,41,49,82,98,164,196,287,574,1148,2009,4018,8036
Greatest Common Factor
We found the factors 5957,8036 . The biggest common factor number is the GCF number.
So the greatest common factor 5957,8036 is 7.
Lets's calculate LCM of 358,258
| 2 | 358, 258 |
| 179, 129 |
∴ So the LCM of the given numbers is 2 x 179 x 129 = 46182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/46182
Therefore, the GCF of Fractions 5957/358,8036/258 is 7/46182
Least Common Multiple of 358,258 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 358,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,258) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(358,258) x common factors =2 x 1 = 2
LCM(358,258) = ( 358 × 258 ) / 2
LCM(358,258) = 92364 / 2
LCM(358,258) = 46182
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FAQs on GCF of Fractions of 5957/358, 8036/258
1. What is the HCF of 5957,8036?
The HCF of 5957,8036 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 5957/358, 8036/258?
Answer: GCF of Numerators as per given numbers 5957/358, 8036/258 is
GCF of Numerators i.e. for 5957,8036 is 7
LCM of denominators i.e. for 358,258 is 46182.
Thus, GCF of Fractions is 7/46182.Finally, GCF of Fractions for 5957/358, 8036/258 is 7/46182.