GCF of 7120/250, 1450/3629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7120/250, 1450/3629 i.e 10/907250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7120/250, 1450/3629.
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 7120/250,1450/3629?
Given fractions are 7120/250,1450/3629
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 7120/250,1450/3629, numerators are 7120,1450
Denominators are 250,3629
The GCF of 7120,1450 is 10 .
LCM of 250,3629 is 907250.
The greatest common factor of 7120/250,1450/3629 = [GCF of 7120,1450]/[LCM of 250,3629]= 10/907250
Therefore, the GCF of 7120/250,1450/3629 is 10/907250.
To find the highest common factor of 7120,1450, we have to find the factors of both numbers and list the highest common factor.
The factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120
The factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450
The HCF of 7120,1450 is 10.
Lets's calculate GCF of 7120,1450
| 2 | 7120, 1450 |
| 5 | 3560, 725 |
| 712, 145 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7120,1450 By Matching Biggest Common Factor Method
Now, list down the factors of 7120
:1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120
Now, list down the factors of 1450
:1,2,5,10,25,29,50,58,145,290,725,1450
Greatest Common Factor
We found the factors 7120,1450 . The biggest common factor number is the GCF number.
So the greatest common factor 7120,1450 is 10.
Lets's calculate LCM of 250,3629
Given numbers has no common factors except 1. So, there LCM is their product i.e 907250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/907250
Therefore, the GCF of Fractions 7120/250,1450/3629 is 10/907250
Least Common Multiple of 250,3629 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 250,3629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,3629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,3629) x common factors =1 x 1 = 1
LCM(250,3629) = ( 250 × 3629 ) / 1
LCM(250,3629) = 907250 / 1
LCM(250,3629) = 907250
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FAQs on GCF of Fractions of 7120/250, 1450/3629
1. What is the HCF of 7120,1450?
The HCF of 7120,1450 is 10
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 7120/250, 1450/3629?
Answer: GCF of Numerators as per given numbers 7120/250, 1450/3629 is
GCF of Numerators i.e. for 7120,1450 is 10
LCM of denominators i.e. for 250,3629 is 907250.
Thus, GCF of Fractions is 10/907250.Finally, GCF of Fractions for 7120/250, 1450/3629 is 10/907250.