GCF of 1956/451, 5420/3245
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1956/451, 5420/3245 i.e 4/133045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1956/451, 5420/3245.
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 1956/451,5420/3245?
Given fractions are 1956/451,5420/3245
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 1956/451,5420/3245, numerators are 1956,5420
Denominators are 451,3245
The GCF of 1956,5420 is 4 .
LCM of 451,3245 is 133045.
The greatest common factor of 1956/451,5420/3245 = [GCF of 1956,5420]/[LCM of 451,3245]= 4/133045
Therefore, the GCF of 1956/451,5420/3245 is 4/133045.
To find the highest common factor of 1956,5420, we have to find the factors of both numbers and list the highest common factor.
The factors of 1956 are 1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, 1956
The factors of 5420 are 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420
The HCF of 1956,5420 is 4.
Lets's calculate GCF of 1956,5420
| 2 | 1956, 5420 |
| 2 | 978, 2710 |
| 489, 1355 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1956,5420 By Matching Biggest Common Factor Method
Now, list down the factors of 1956
:1,2,3,4,6,12,163,326,489,652,978,1956
Now, list down the factors of 5420
:1,2,4,5,10,20,271,542,1084,1355,2710,5420
Greatest Common Factor
We found the factors 1956,5420 . The biggest common factor number is the GCF number.
So the greatest common factor 1956,5420 is 4.
Lets's calculate LCM of 451,3245
| 11 | 451, 3245 |
| 41, 295 |
∴ So the LCM of the given numbers is 11 x 41 x 295 = 133045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/133045
Therefore, the GCF of Fractions 1956/451,5420/3245 is 4/133045
Least Common Multiple of 451,3245 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 451,3245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,3245) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(451,3245) x common factors =11 x 1 = 11
LCM(451,3245) = ( 451 × 3245 ) / 11
LCM(451,3245) = 1463495 / 11
LCM(451,3245) = 133045
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FAQs on GCF of Fractions of 1956/451, 5420/3245
1. What is the HCF of 1956,5420?
The HCF of 1956,5420 is 4
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 1956/451, 5420/3245?
Answer: GCF of Numerators as per given numbers 1956/451, 5420/3245 is
GCF of Numerators i.e. for 1956,5420 is 4
LCM of denominators i.e. for 451,3245 is 133045.
Thus, GCF of Fractions is 4/133045.Finally, GCF of Fractions for 1956/451, 5420/3245 is 4/133045.