GCF of 5378/625, 2450/582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5378/625, 2450/582 i.e 2/363750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5378/625, 2450/582.
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 5378/625,2450/582?
Given fractions are 5378/625,2450/582
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 5378/625,2450/582, numerators are 5378,2450
Denominators are 625,582
The GCF of 5378,2450 is 2 .
LCM of 625,582 is 363750.
The greatest common factor of 5378/625,2450/582 = [GCF of 5378,2450]/[LCM of 625,582]= 2/363750
Therefore, the GCF of 5378/625,2450/582 is 2/363750.
To find the highest common factor of 5378,2450, we have to find the factors of both numbers and list the highest common factor.
The factors of 5378 are 1, 2, 2689, 5378
The factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450
The HCF of 5378,2450 is 2.
Lets's calculate GCF of 5378,2450
| 2 | 5378, 2450 |
| 2689, 1225 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5378,2450 By Matching Biggest Common Factor Method
Now, list down the factors of 5378
:1,2,2689,5378
Now, list down the factors of 2450
:1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450
Greatest Common Factor
We found the factors 5378,2450 . The biggest common factor number is the GCF number.
So the greatest common factor 5378,2450 is 2.
Lets's calculate LCM of 625,582
Given numbers has no common factors except 1. So, there LCM is their product i.e 363750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/363750
Therefore, the GCF of Fractions 5378/625,2450/582 is 2/363750
Least Common Multiple of 625,582 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 625,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,582) x common factors =1 x 1 = 1
LCM(625,582) = ( 625 × 582 ) / 1
LCM(625,582) = 363750 / 1
LCM(625,582) = 363750
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FAQs on GCF of Fractions of 5378/625, 2450/582
1. What is the HCF of 5378,2450?
The HCF of 5378,2450 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 5378/625, 2450/582?
Answer: GCF of Numerators as per given numbers 5378/625, 2450/582 is
GCF of Numerators i.e. for 5378,2450 is 2
LCM of denominators i.e. for 625,582 is 363750.
Thus, GCF of Fractions is 2/363750.Finally, GCF of Fractions for 5378/625, 2450/582 is 2/363750.