GCF of 2570/533, 7438/1921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2570/533, 7438/1921 i.e 2/1023893 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2570/533, 7438/1921.
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 2570/533,7438/1921?
Given fractions are 2570/533,7438/1921
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 2570/533,7438/1921, numerators are 2570,7438
Denominators are 533,1921
The GCF of 2570,7438 is 2 .
LCM of 533,1921 is 1023893.
The greatest common factor of 2570/533,7438/1921 = [GCF of 2570,7438]/[LCM of 533,1921]= 2/1023893
Therefore, the GCF of 2570/533,7438/1921 is 2/1023893.
To find the highest common factor of 2570,7438, we have to find the factors of both numbers and list the highest common factor.
The factors of 2570 are 1, 2, 5, 10, 257, 514, 1285, 2570
The factors of 7438 are 1, 2, 3719, 7438
The HCF of 2570,7438 is 2.
Lets's calculate GCF of 2570,7438
| 2 | 2570, 7438 |
| 1285, 3719 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2570,7438 By Matching Biggest Common Factor Method
Now, list down the factors of 2570
:1,2,5,10,257,514,1285,2570
Now, list down the factors of 7438
:1,2,3719,7438
Greatest Common Factor
We found the factors 2570,7438 . The biggest common factor number is the GCF number.
So the greatest common factor 2570,7438 is 2.
Lets's calculate LCM of 533,1921
Given numbers has no common factors except 1. So, there LCM is their product i.e 1023893
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1023893
Therefore, the GCF of Fractions 2570/533,7438/1921 is 2/1023893
Least Common Multiple of 533,1921 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 533,1921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,1921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,1921) x common factors =1 x 1 = 1
LCM(533,1921) = ( 533 × 1921 ) / 1
LCM(533,1921) = 1023893 / 1
LCM(533,1921) = 1023893
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2570/533, 7438/1921
1. What is the HCF of 2570,7438?
The HCF of 2570,7438 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 2570/533, 7438/1921?
Answer: GCF of Numerators as per given numbers 2570/533, 7438/1921 is
GCF of Numerators i.e. for 2570,7438 is 2
LCM of denominators i.e. for 533,1921 is 1023893.
Thus, GCF of Fractions is 2/1023893.Finally, GCF of Fractions for 2570/533, 7438/1921 is 2/1023893.