GCF of 7480/750, 6385/6234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7480/750, 6385/6234 i.e 5/779250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7480/750, 6385/6234.
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 7480/750,6385/6234?
Given fractions are 7480/750,6385/6234
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 7480/750,6385/6234, numerators are 7480,6385
Denominators are 750,6234
The GCF of 7480,6385 is 5 .
LCM of 750,6234 is 779250.
The greatest common factor of 7480/750,6385/6234 = [GCF of 7480,6385]/[LCM of 750,6234]= 5/779250
Therefore, the GCF of 7480/750,6385/6234 is 5/779250.
To find the highest common factor of 7480,6385, we have to find the factors of both numbers and list the highest common factor.
The factors of 7480 are 1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480
The factors of 6385 are 1, 5, 1277, 6385
The HCF of 7480,6385 is 5.
Lets's calculate GCF of 7480,6385
| 5 | 7480, 6385 |
| 1496, 1277 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7480,6385 By Matching Biggest Common Factor Method
Now, list down the factors of 7480
:1,2,4,5,8,10,11,17,20,22,34,40,44,55,68,85,88,110,136,170,187,220,340,374,440,680,748,935,1496,1870,3740,7480
Now, list down the factors of 6385
:1,5,1277,6385
Greatest Common Factor
We found the factors 7480,6385 . The biggest common factor number is the GCF number.
So the greatest common factor 7480,6385 is 5.
Lets's calculate LCM of 750,6234
| 2 | 750, 6234 |
| 3 | 375, 3117 |
| 125, 1039 |
∴ So the LCM of the given numbers is 2 x 3 x 125 x 1039 = 779250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/779250
Therefore, the GCF of Fractions 7480/750,6385/6234 is 5/779250
Least Common Multiple of 750,6234 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 750,6234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,6234) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(750,6234) x common factors =6 x 1 = 6
LCM(750,6234) = ( 750 × 6234 ) / 6
LCM(750,6234) = 4675500 / 6
LCM(750,6234) = 779250
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FAQs on GCF of Fractions of 7480/750, 6385/6234
1. What is the HCF of 7480,6385?
The HCF of 7480,6385 is 5
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 7480/750, 6385/6234?
Answer: GCF of Numerators as per given numbers 7480/750, 6385/6234 is
GCF of Numerators i.e. for 7480,6385 is 5
LCM of denominators i.e. for 750,6234 is 779250.
Thus, GCF of Fractions is 5/779250.Finally, GCF of Fractions for 7480/750, 6385/6234 is 5/779250.