GCF of 7150/480, 4850/573
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7150/480, 4850/573 i.e 50/91680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7150/480, 4850/573.
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 7150/480,4850/573?
Given fractions are 7150/480,4850/573
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 7150/480,4850/573, numerators are 7150,4850
Denominators are 480,573
The GCF of 7150,4850 is 50 .
LCM of 480,573 is 91680.
The greatest common factor of 7150/480,4850/573 = [GCF of 7150,4850]/[LCM of 480,573]= 50/91680
Therefore, the GCF of 7150/480,4850/573 is 50/91680.
To find the highest common factor of 7150,4850, 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 4850 are 1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850
The HCF of 7150,4850 is 50.
Lets's calculate GCF of 7150,4850
| 2 | 7150, 4850 |
| 5 | 3575, 2425 |
| 5 | 715, 485 |
| 143, 97 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 7150,4850 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 4850
:1,2,5,10,25,50,97,194,485,970,2425,4850
Greatest Common Factor
We found the factors 7150,4850 . The biggest common factor number is the GCF number.
So the greatest common factor 7150,4850 is 50.
Lets's calculate LCM of 480,573
| 3 | 480, 573 |
| 160, 191 |
∴ So the LCM of the given numbers is 3 x 160 x 191 = 91680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/91680
Therefore, the GCF of Fractions 7150/480,4850/573 is 50/91680
Least Common Multiple of 480,573 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 480,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,573) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(480,573) x common factors =3 x 1 = 3
LCM(480,573) = ( 480 × 573 ) / 3
LCM(480,573) = 275040 / 3
LCM(480,573) = 91680
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FAQs on GCF of Fractions of 7150/480, 4850/573
1. What is the HCF of 7150,4850?
The HCF of 7150,4850 is 50
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 7150/480, 4850/573?
Answer: GCF of Numerators as per given numbers 7150/480, 4850/573 is
GCF of Numerators i.e. for 7150,4850 is 50
LCM of denominators i.e. for 480,573 is 91680.
Thus, GCF of Fractions is 50/91680.Finally, GCF of Fractions for 7150/480, 4850/573 is 50/91680.