GCF of 1556/342, 4076/2050
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1556/342, 4076/2050 i.e 4/350550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1556/342, 4076/2050.
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 1556/342,4076/2050?
Given fractions are 1556/342,4076/2050
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 1556/342,4076/2050, numerators are 1556,4076
Denominators are 342,2050
The GCF of 1556,4076 is 4 .
LCM of 342,2050 is 350550.
The greatest common factor of 1556/342,4076/2050 = [GCF of 1556,4076]/[LCM of 342,2050]= 4/350550
Therefore, the GCF of 1556/342,4076/2050 is 4/350550.
To find the highest common factor of 1556,4076, we have to find the factors of both numbers and list the highest common factor.
The factors of 1556 are 1, 2, 4, 389, 778, 1556
The factors of 4076 are 1, 2, 4, 1019, 2038, 4076
The HCF of 1556,4076 is 4.
Lets's calculate GCF of 1556,4076
| 2 | 1556, 4076 |
| 2 | 778, 2038 |
| 389, 1019 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1556,4076 By Matching Biggest Common Factor Method
Now, list down the factors of 1556
:1,2,4,389,778,1556
Now, list down the factors of 4076
:1,2,4,1019,2038,4076
Greatest Common Factor
We found the factors 1556,4076 . The biggest common factor number is the GCF number.
So the greatest common factor 1556,4076 is 4.
Lets's calculate LCM of 342,2050
| 2 | 342, 2050 |
| 171, 1025 |
∴ So the LCM of the given numbers is 2 x 171 x 1025 = 350550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/350550
Therefore, the GCF of Fractions 1556/342,4076/2050 is 4/350550
Least Common Multiple of 342,2050 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 342,2050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,2050) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,2050) x common factors =2 x 1 = 2
LCM(342,2050) = ( 342 × 2050 ) / 2
LCM(342,2050) = 701100 / 2
LCM(342,2050) = 350550
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FAQs on GCF of Fractions of 1556/342, 4076/2050
1. What is the HCF of 1556,4076?
The HCF of 1556,4076 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 1556/342, 4076/2050?
Answer: GCF of Numerators as per given numbers 1556/342, 4076/2050 is
GCF of Numerators i.e. for 1556,4076 is 4
LCM of denominators i.e. for 342,2050 is 350550.
Thus, GCF of Fractions is 4/350550.Finally, GCF of Fractions for 1556/342, 4076/2050 is 4/350550.