GCF of 7150/348, 7508/4500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7150/348, 7508/4500 i.e 2/130500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7150/348, 7508/4500.
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 7150/348,7508/4500?
Given fractions are 7150/348,7508/4500
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 7150/348,7508/4500, numerators are 7150,7508
Denominators are 348,4500
The GCF of 7150,7508 is 2 .
LCM of 348,4500 is 130500.
The greatest common factor of 7150/348,7508/4500 = [GCF of 7150,7508]/[LCM of 348,4500]= 2/130500
Therefore, the GCF of 7150/348,7508/4500 is 2/130500.
To find the highest common factor of 7150,7508, we have to find the factors of both numbers and list the highest common factor.
The factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150
The factors of 7508 are 1, 2, 4, 1877, 3754, 7508
The HCF of 7150,7508 is 2.
Lets's calculate GCF of 7150,7508
| 2 | 7150, 7508 |
| 3575, 3754 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7150,7508 By Matching Biggest Common Factor Method
Now, list down the factors of 7150
:1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Now, list down the factors of 7508
:1,2,4,1877,3754,7508
Greatest Common Factor
We found the factors 7150,7508 . The biggest common factor number is the GCF number.
So the greatest common factor 7150,7508 is 2.
Lets's calculate LCM of 348,4500
| 2 | 348, 4500 |
| 2 | 174, 2250 |
| 3 | 87, 1125 |
| 29, 375 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 375 = 130500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130500
Therefore, the GCF of Fractions 7150/348,7508/4500 is 2/130500
Least Common Multiple of 348,4500 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 348,4500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,4500) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(348,4500) x common factors =12 x 1 = 12
LCM(348,4500) = ( 348 × 4500 ) / 12
LCM(348,4500) = 1566000 / 12
LCM(348,4500) = 130500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7150/348, 7508/4500
1. What is the HCF of 7150,7508?
The HCF of 7150,7508 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 7150/348, 7508/4500?
Answer: GCF of Numerators as per given numbers 7150/348, 7508/4500 is
GCF of Numerators i.e. for 7150,7508 is 2
LCM of denominators i.e. for 348,4500 is 130500.
Thus, GCF of Fractions is 2/130500.Finally, GCF of Fractions for 7150/348, 7508/4500 is 2/130500.