GCF of 6695/315, 5083/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6695/315, 5083/974 i.e 13/306810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6695/315, 5083/974.
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 6695/315,5083/974?
Given fractions are 6695/315,5083/974
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 6695/315,5083/974, numerators are 6695,5083
Denominators are 315,974
The GCF of 6695,5083 is 13 .
LCM of 315,974 is 306810.
The greatest common factor of 6695/315,5083/974 = [GCF of 6695,5083]/[LCM of 315,974]= 13/306810
Therefore, the GCF of 6695/315,5083/974 is 13/306810.
To find the highest common factor of 6695,5083, we have to find the factors of both numbers and list the highest common factor.
The factors of 6695 are 1, 5, 13, 65, 103, 515, 1339, 6695
The factors of 5083 are 1, 13, 17, 23, 221, 299, 391, 5083
The HCF of 6695,5083 is 13.
Lets's calculate GCF of 6695,5083
| 13 | 6695, 5083 |
| 515, 391 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6695,5083 By Matching Biggest Common Factor Method
Now, list down the factors of 6695
:1,5,13,65,103,515,1339,6695
Now, list down the factors of 5083
:1,13,17,23,221,299,391,5083
Greatest Common Factor
We found the factors 6695,5083 . The biggest common factor number is the GCF number.
So the greatest common factor 6695,5083 is 13.
Lets's calculate LCM of 315,974
Given numbers has no common factors except 1. So, there LCM is their product i.e 306810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/306810
Therefore, the GCF of Fractions 6695/315,5083/974 is 13/306810
Least Common Multiple of 315,974 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 315,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,974) x common factors =1 x 1 = 1
LCM(315,974) = ( 315 × 974 ) / 1
LCM(315,974) = 306810 / 1
LCM(315,974) = 306810
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FAQs on GCF of Fractions of 6695/315, 5083/974
1. What is the HCF of 6695,5083?
The HCF of 6695,5083 is 13
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 6695/315, 5083/974?
Answer: GCF of Numerators as per given numbers 6695/315, 5083/974 is
GCF of Numerators i.e. for 6695,5083 is 13
LCM of denominators i.e. for 315,974 is 306810.
Thus, GCF of Fractions is 13/306810.Finally, GCF of Fractions for 6695/315, 5083/974 is 13/306810.