GCF of 3910/102, 1956/537
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3910/102, 1956/537 i.e 2/18258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3910/102, 1956/537.
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 3910/102,1956/537?
Given fractions are 3910/102,1956/537
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 3910/102,1956/537, numerators are 3910,1956
Denominators are 102,537
The GCF of 3910,1956 is 2 .
LCM of 102,537 is 18258.
The greatest common factor of 3910/102,1956/537 = [GCF of 3910,1956]/[LCM of 102,537]= 2/18258
Therefore, the GCF of 3910/102,1956/537 is 2/18258.
To find the highest common factor of 3910,1956, we have to find the factors of both numbers and list the highest common factor.
The factors of 3910 are 1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910
The factors of 1956 are 1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, 1956
The HCF of 3910,1956 is 2.
Lets's calculate GCF of 3910,1956
| 2 | 3910, 1956 |
| 1955, 978 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3910,1956 By Matching Biggest Common Factor Method
Now, list down the factors of 3910
:1,2,5,10,17,23,34,46,85,115,170,230,391,782,1955,3910
Now, list down the factors of 1956
:1,2,3,4,6,12,163,326,489,652,978,1956
Greatest Common Factor
We found the factors 3910,1956 . The biggest common factor number is the GCF number.
So the greatest common factor 3910,1956 is 2.
Lets's calculate LCM of 102,537
| 3 | 102, 537 |
| 34, 179 |
∴ So the LCM of the given numbers is 3 x 34 x 179 = 18258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18258
Therefore, the GCF of Fractions 3910/102,1956/537 is 2/18258
Least Common Multiple of 102,537 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 102,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,537) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(102,537) x common factors =3 x 1 = 3
LCM(102,537) = ( 102 × 537 ) / 3
LCM(102,537) = 54774 / 3
LCM(102,537) = 18258
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FAQs on GCF of Fractions of 3910/102, 1956/537
1. What is the HCF of 3910,1956?
The HCF of 3910,1956 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 3910/102, 1956/537?
Answer: GCF of Numerators as per given numbers 3910/102, 1956/537 is
GCF of Numerators i.e. for 3910,1956 is 2
LCM of denominators i.e. for 102,537 is 18258.
Thus, GCF of Fractions is 2/18258.Finally, GCF of Fractions for 3910/102, 1956/537 is 2/18258.