GCF of 7828/432, 3812/869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7828/432, 3812/869 i.e 4/375408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7828/432, 3812/869.
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 7828/432,3812/869?
Given fractions are 7828/432,3812/869
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 7828/432,3812/869, numerators are 7828,3812
Denominators are 432,869
The GCF of 7828,3812 is 4 .
LCM of 432,869 is 375408.
The greatest common factor of 7828/432,3812/869 = [GCF of 7828,3812]/[LCM of 432,869]= 4/375408
Therefore, the GCF of 7828/432,3812/869 is 4/375408.
To find the highest common factor of 7828,3812, we have to find the factors of both numbers and list the highest common factor.
The factors of 7828 are 1, 2, 4, 19, 38, 76, 103, 206, 412, 1957, 3914, 7828
The factors of 3812 are 1, 2, 4, 953, 1906, 3812
The HCF of 7828,3812 is 4.
Lets's calculate GCF of 7828,3812
| 2 | 7828, 3812 |
| 2 | 3914, 1906 |
| 1957, 953 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7828,3812 By Matching Biggest Common Factor Method
Now, list down the factors of 7828
:1,2,4,19,38,76,103,206,412,1957,3914,7828
Now, list down the factors of 3812
:1,2,4,953,1906,3812
Greatest Common Factor
We found the factors 7828,3812 . The biggest common factor number is the GCF number.
So the greatest common factor 7828,3812 is 4.
Lets's calculate LCM of 432,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 375408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/375408
Therefore, the GCF of Fractions 7828/432,3812/869 is 4/375408
Least Common Multiple of 432,869 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 432,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(432,869) x common factors =1 x 1 = 1
LCM(432,869) = ( 432 × 869 ) / 1
LCM(432,869) = 375408 / 1
LCM(432,869) = 375408
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FAQs on GCF of Fractions of 7828/432, 3812/869
1. What is the HCF of 7828,3812?
The HCF of 7828,3812 is 4
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 7828/432, 3812/869?
Answer: GCF of Numerators as per given numbers 7828/432, 3812/869 is
GCF of Numerators i.e. for 7828,3812 is 4
LCM of denominators i.e. for 432,869 is 375408.
Thus, GCF of Fractions is 4/375408.Finally, GCF of Fractions for 7828/432, 3812/869 is 4/375408.