GCF of 7480/751, 1580/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7480/751, 1580/242 i.e 20/181742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7480/751, 1580/242.
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 7480/751,1580/242?
Given fractions are 7480/751,1580/242
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 7480/751,1580/242, numerators are 7480,1580
Denominators are 751,242
The GCF of 7480,1580 is 20 .
LCM of 751,242 is 181742.
The greatest common factor of 7480/751,1580/242 = [GCF of 7480,1580]/[LCM of 751,242]= 20/181742
Therefore, the GCF of 7480/751,1580/242 is 20/181742.
To find the highest common factor of 7480,1580, 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 1580 are 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580
The HCF of 7480,1580 is 20.
Lets's calculate GCF of 7480,1580
| 2 | 7480, 1580 |
| 2 | 3740, 790 |
| 5 | 1870, 395 |
| 374, 79 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 7480,1580 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 1580
:1,2,4,5,10,20,79,158,316,395,790,1580
Greatest Common Factor
We found the factors 7480,1580 . The biggest common factor number is the GCF number.
So the greatest common factor 7480,1580 is 20.
Lets's calculate LCM of 751,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 181742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/181742
Therefore, the GCF of Fractions 7480/751,1580/242 is 20/181742
Least Common Multiple of 751,242 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 751,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,242) x common factors =1 x 1 = 1
LCM(751,242) = ( 751 × 242 ) / 1
LCM(751,242) = 181742 / 1
LCM(751,242) = 181742
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FAQs on GCF of Fractions of 7480/751, 1580/242
1. What is the HCF of 7480,1580?
The HCF of 7480,1580 is 20
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 7480/751, 1580/242?
Answer: GCF of Numerators as per given numbers 7480/751, 1580/242 is
GCF of Numerators i.e. for 7480,1580 is 20
LCM of denominators i.e. for 751,242 is 181742.
Thus, GCF of Fractions is 20/181742.Finally, GCF of Fractions for 7480/751, 1580/242 is 20/181742.