GCF of 1251/508, 7830/790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1251/508, 7830/790 i.e 9/200660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1251/508, 7830/790.
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 1251/508,7830/790?
Given fractions are 1251/508,7830/790
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 1251/508,7830/790, numerators are 1251,7830
Denominators are 508,790
The GCF of 1251,7830 is 9 .
LCM of 508,790 is 200660.
The greatest common factor of 1251/508,7830/790 = [GCF of 1251,7830]/[LCM of 508,790]= 9/200660
Therefore, the GCF of 1251/508,7830/790 is 9/200660.
To find the highest common factor of 1251,7830, we have to find the factors of both numbers and list the highest common factor.
The factors of 1251 are 1, 3, 9, 139, 417, 1251
The factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830
The HCF of 1251,7830 is 9.
Lets's calculate GCF of 1251,7830
| 3 | 1251, 7830 |
| 3 | 417, 2610 |
| 139, 870 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1251,7830 By Matching Biggest Common Factor Method
Now, list down the factors of 1251
:1,3,9,139,417,1251
Now, list down the factors of 7830
:1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830
Greatest Common Factor
We found the factors 1251,7830 . The biggest common factor number is the GCF number.
So the greatest common factor 1251,7830 is 9.
Lets's calculate LCM of 508,790
| 2 | 508, 790 |
| 254, 395 |
∴ So the LCM of the given numbers is 2 x 254 x 395 = 200660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/200660
Therefore, the GCF of Fractions 1251/508,7830/790 is 9/200660
Least Common Multiple of 508,790 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 508,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,790) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(508,790) x common factors =2 x 1 = 2
LCM(508,790) = ( 508 × 790 ) / 2
LCM(508,790) = 401320 / 2
LCM(508,790) = 200660
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FAQs on GCF of Fractions of 1251/508, 7830/790
1. What is the HCF of 1251,7830?
The HCF of 1251,7830 is 9
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 1251/508, 7830/790?
Answer: GCF of Numerators as per given numbers 1251/508, 7830/790 is
GCF of Numerators i.e. for 1251,7830 is 9
LCM of denominators i.e. for 508,790 is 200660.
Thus, GCF of Fractions is 9/200660.Finally, GCF of Fractions for 1251/508, 7830/790 is 9/200660.