GCF of 1112/382, 7830/682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1112/382, 7830/682 i.e 2/130262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1112/382, 7830/682.
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 1112/382,7830/682?
Given fractions are 1112/382,7830/682
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 1112/382,7830/682, numerators are 1112,7830
Denominators are 382,682
The GCF of 1112,7830 is 2 .
LCM of 382,682 is 130262.
The greatest common factor of 1112/382,7830/682 = [GCF of 1112,7830]/[LCM of 382,682]= 2/130262
Therefore, the GCF of 1112/382,7830/682 is 2/130262.
To find the highest common factor of 1112,7830, we have to find the factors of both numbers and list the highest common factor.
The factors of 1112 are 1, 2, 4, 8, 139, 278, 556, 1112
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 1112,7830 is 2.
Lets's calculate GCF of 1112,7830
| 2 | 1112, 7830 |
| 556, 3915 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1112,7830 By Matching Biggest Common Factor Method
Now, list down the factors of 1112
:1,2,4,8,139,278,556,1112
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 1112,7830 . The biggest common factor number is the GCF number.
So the greatest common factor 1112,7830 is 2.
Lets's calculate LCM of 382,682
| 2 | 382, 682 |
| 191, 341 |
∴ So the LCM of the given numbers is 2 x 191 x 341 = 130262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130262
Therefore, the GCF of Fractions 1112/382,7830/682 is 2/130262
Least Common Multiple of 382,682 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 382,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,682) x common factors =2 x 1 = 2
LCM(382,682) = ( 382 × 682 ) / 2
LCM(382,682) = 260524 / 2
LCM(382,682) = 130262
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FAQs on GCF of Fractions of 1112/382, 7830/682
1. What is the HCF of 1112,7830?
The HCF of 1112,7830 is 2
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 1112/382, 7830/682?
Answer: GCF of Numerators as per given numbers 1112/382, 7830/682 is
GCF of Numerators i.e. for 1112,7830 is 2
LCM of denominators i.e. for 382,682 is 130262.
Thus, GCF of Fractions is 2/130262.Finally, GCF of Fractions for 1112/382, 7830/682 is 2/130262.