GCF of 3950/509, 8230/357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3950/509, 8230/357 i.e 10/181713 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3950/509, 8230/357.
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 3950/509,8230/357?
Given fractions are 3950/509,8230/357
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 3950/509,8230/357, numerators are 3950,8230
Denominators are 509,357
The GCF of 3950,8230 is 10 .
LCM of 509,357 is 181713.
The greatest common factor of 3950/509,8230/357 = [GCF of 3950,8230]/[LCM of 509,357]= 10/181713
Therefore, the GCF of 3950/509,8230/357 is 10/181713.
To find the highest common factor of 3950,8230, we have to find the factors of both numbers and list the highest common factor.
The factors of 3950 are 1, 2, 5, 10, 25, 50, 79, 158, 395, 790, 1975, 3950
The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230
The HCF of 3950,8230 is 10.
Lets's calculate GCF of 3950,8230
| 2 | 3950, 8230 |
| 5 | 1975, 4115 |
| 395, 823 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3950,8230 By Matching Biggest Common Factor Method
Now, list down the factors of 3950
:1,2,5,10,25,50,79,158,395,790,1975,3950
Now, list down the factors of 8230
:1,2,5,10,823,1646,4115,8230
Greatest Common Factor
We found the factors 3950,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 3950,8230 is 10.
Lets's calculate LCM of 509,357
Given numbers has no common factors except 1. So, there LCM is their product i.e 181713
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/181713
Therefore, the GCF of Fractions 3950/509,8230/357 is 10/181713
Least Common Multiple of 509,357 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 509,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,357) x common factors =1 x 1 = 1
LCM(509,357) = ( 509 × 357 ) / 1
LCM(509,357) = 181713 / 1
LCM(509,357) = 181713
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FAQs on GCF of Fractions of 3950/509, 8230/357
1. What is the HCF of 3950,8230?
The HCF of 3950,8230 is 10
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 3950/509, 8230/357?
Answer: GCF of Numerators as per given numbers 3950/509, 8230/357 is
GCF of Numerators i.e. for 3950,8230 is 10
LCM of denominators i.e. for 509,357 is 181713.
Thus, GCF of Fractions is 10/181713.Finally, GCF of Fractions for 3950/509, 8230/357 is 10/181713.