GCF of 2050/872, 1946/521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2050/872, 1946/521 i.e 2/454312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2050/872, 1946/521.
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 2050/872,1946/521?
Given fractions are 2050/872,1946/521
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 2050/872,1946/521, numerators are 2050,1946
Denominators are 872,521
The GCF of 2050,1946 is 2 .
LCM of 872,521 is 454312.
The greatest common factor of 2050/872,1946/521 = [GCF of 2050,1946]/[LCM of 872,521]= 2/454312
Therefore, the GCF of 2050/872,1946/521 is 2/454312.
To find the highest common factor of 2050,1946, we have to find the factors of both numbers and list the highest common factor.
The factors of 2050 are 1, 2, 5, 10, 25, 41, 50, 82, 205, 410, 1025, 2050
The factors of 1946 are 1, 2, 7, 14, 139, 278, 973, 1946
The HCF of 2050,1946 is 2.
Lets's calculate GCF of 2050,1946
| 2 | 2050, 1946 |
| 1025, 973 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2050,1946 By Matching Biggest Common Factor Method
Now, list down the factors of 2050
:1,2,5,10,25,41,50,82,205,410,1025,2050
Now, list down the factors of 1946
:1,2,7,14,139,278,973,1946
Greatest Common Factor
We found the factors 2050,1946 . The biggest common factor number is the GCF number.
So the greatest common factor 2050,1946 is 2.
Lets's calculate LCM of 872,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 454312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/454312
Therefore, the GCF of Fractions 2050/872,1946/521 is 2/454312
Least Common Multiple of 872,521 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 872,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,521) x common factors =1 x 1 = 1
LCM(872,521) = ( 872 × 521 ) / 1
LCM(872,521) = 454312 / 1
LCM(872,521) = 454312
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FAQs on GCF of Fractions of 2050/872, 1946/521
1. What is the HCF of 2050,1946?
The HCF of 2050,1946 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 2050/872, 1946/521?
Answer: GCF of Numerators as per given numbers 2050/872, 1946/521 is
GCF of Numerators i.e. for 2050,1946 is 2
LCM of denominators i.e. for 872,521 is 454312.
Thus, GCF of Fractions is 2/454312.Finally, GCF of Fractions for 2050/872, 1946/521 is 2/454312.