GCF of 7120/130, 5150/5269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7120/130, 5150/5269 i.e 10/684970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7120/130, 5150/5269.
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 7120/130,5150/5269?
Given fractions are 7120/130,5150/5269
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 7120/130,5150/5269, numerators are 7120,5150
Denominators are 130,5269
The GCF of 7120,5150 is 10 .
LCM of 130,5269 is 684970.
The greatest common factor of 7120/130,5150/5269 = [GCF of 7120,5150]/[LCM of 130,5269]= 10/684970
Therefore, the GCF of 7120/130,5150/5269 is 10/684970.
To find the highest common factor of 7120,5150, 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 5150 are 1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150
The HCF of 7120,5150 is 10.
Lets's calculate GCF of 7120,5150
| 2 | 7120, 5150 |
| 5 | 3560, 2575 |
| 712, 515 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7120,5150 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 5150
:1,2,5,10,25,50,103,206,515,1030,2575,5150
Greatest Common Factor
We found the factors 7120,5150 . The biggest common factor number is the GCF number.
So the greatest common factor 7120,5150 is 10.
Lets's calculate LCM of 130,5269
Given numbers has no common factors except 1. So, there LCM is their product i.e 684970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/684970
Therefore, the GCF of Fractions 7120/130,5150/5269 is 10/684970
Least Common Multiple of 130,5269 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 130,5269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,5269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,5269) x common factors =1 x 1 = 1
LCM(130,5269) = ( 130 × 5269 ) / 1
LCM(130,5269) = 684970 / 1
LCM(130,5269) = 684970
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FAQs on GCF of Fractions of 7120/130, 5150/5269
1. What is the HCF of 7120,5150?
The HCF of 7120,5150 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 7120/130, 5150/5269?
Answer: GCF of Numerators as per given numbers 7120/130, 5150/5269 is
GCF of Numerators i.e. for 7120,5150 is 10
LCM of denominators i.e. for 130,5269 is 684970.
Thus, GCF of Fractions is 10/684970.Finally, GCF of Fractions for 7120/130, 5150/5269 is 10/684970.