GCF of 7470/562, 5310/796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7470/562, 5310/796 i.e 90/223676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7470/562, 5310/796.
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 7470/562,5310/796?
Given fractions are 7470/562,5310/796
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 7470/562,5310/796, numerators are 7470,5310
Denominators are 562,796
The GCF of 7470,5310 is 90 .
LCM of 562,796 is 223676.
The greatest common factor of 7470/562,5310/796 = [GCF of 7470,5310]/[LCM of 562,796]= 90/223676
Therefore, the GCF of 7470/562,5310/796 is 90/223676.
To find the highest common factor of 7470,5310, we have to find the factors of both numbers and list the highest common factor.
The factors of 7470 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470
The factors of 5310 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310
The HCF of 7470,5310 is 90.
Lets's calculate GCF of 7470,5310
| 2 | 7470, 5310 |
| 3 | 3735, 2655 |
| 3 | 1245, 885 |
| 5 | 415, 295 |
| 83, 59 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 5 = 90
Greatest Common Factor of 7470,5310 By Matching Biggest Common Factor Method
Now, list down the factors of 7470
:1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470
Now, list down the factors of 5310
:1,2,3,5,6,9,10,15,18,30,45,59,90,118,177,295,354,531,590,885,1062,1770,2655,5310
Greatest Common Factor
We found the factors 7470,5310 . The biggest common factor number is the GCF number.
So the greatest common factor 7470,5310 is 90.
Lets's calculate LCM of 562,796
| 2 | 562, 796 |
| 281, 398 |
∴ So the LCM of the given numbers is 2 x 281 x 398 = 223676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 90/223676
Therefore, the GCF of Fractions 7470/562,5310/796 is 90/223676
Least Common Multiple of 562,796 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 562,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,796) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,796) x common factors =2 x 1 = 2
LCM(562,796) = ( 562 × 796 ) / 2
LCM(562,796) = 447352 / 2
LCM(562,796) = 223676
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FAQs on GCF of Fractions of 7470/562, 5310/796
1. What is the HCF of 7470,5310?
The HCF of 7470,5310 is 90
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 7470/562, 5310/796?
Answer: GCF of Numerators as per given numbers 7470/562, 5310/796 is
GCF of Numerators i.e. for 7470,5310 is 90
LCM of denominators i.e. for 562,796 is 223676.
Thus, GCF of Fractions is 90/223676.Finally, GCF of Fractions for 7470/562, 5310/796 is 90/223676.