GCF of 7828/151, 7107/5192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7828/151, 7107/5192 i.e 103/783992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7828/151, 7107/5192.
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 7828/151,7107/5192?
Given fractions are 7828/151,7107/5192
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 7828/151,7107/5192, numerators are 7828,7107
Denominators are 151,5192
The GCF of 7828,7107 is 103 .
LCM of 151,5192 is 783992.
The greatest common factor of 7828/151,7107/5192 = [GCF of 7828,7107]/[LCM of 151,5192]= 103/783992
Therefore, the GCF of 7828/151,7107/5192 is 103/783992.
To find the highest common factor of 7828,7107, 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 7107 are 1, 3, 23, 69, 103, 309, 2369, 7107
The HCF of 7828,7107 is 103.
Lets's calculate GCF of 7828,7107
| 103 | 7828, 7107 |
| 76, 69 |
∴ So the GCF of the given numbers is 103 = 103
Greatest Common Factor of 7828,7107 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 7107
:1,3,23,69,103,309,2369,7107
Greatest Common Factor
We found the factors 7828,7107 . The biggest common factor number is the GCF number.
So the greatest common factor 7828,7107 is 103.
Lets's calculate LCM of 151,5192
Given numbers has no common factors except 1. So, there LCM is their product i.e 783992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/783992
Therefore, the GCF of Fractions 7828/151,7107/5192 is 103/783992
Least Common Multiple of 151,5192 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 151,5192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,5192) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,5192) x common factors =1 x 1 = 1
LCM(151,5192) = ( 151 × 5192 ) / 1
LCM(151,5192) = 783992 / 1
LCM(151,5192) = 783992
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FAQs on GCF of Fractions of 7828/151, 7107/5192
1. What is the HCF of 7828,7107?
The HCF of 7828,7107 is 103
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 7828/151, 7107/5192?
Answer: GCF of Numerators as per given numbers 7828/151, 7107/5192 is
GCF of Numerators i.e. for 7828,7107 is 103
LCM of denominators i.e. for 151,5192 is 783992.
Thus, GCF of Fractions is 103/783992.Finally, GCF of Fractions for 7828/151, 7107/5192 is 103/783992.