GCF of 5796/802, 2142/9519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5796/802, 2142/9519 i.e 126/7634238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5796/802, 2142/9519.
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 5796/802,2142/9519?
Given fractions are 5796/802,2142/9519
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 5796/802,2142/9519, numerators are 5796,2142
Denominators are 802,9519
The GCF of 5796,2142 is 126 .
LCM of 802,9519 is 7634238.
The greatest common factor of 5796/802,2142/9519 = [GCF of 5796,2142]/[LCM of 802,9519]= 126/7634238
Therefore, the GCF of 5796/802,2142/9519 is 126/7634238.
To find the highest common factor of 5796,2142, we have to find the factors of both numbers and list the highest common factor.
The factors of 5796 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46, 63, 69, 84, 92, 126, 138, 161, 207, 252, 276, 322, 414, 483, 644, 828, 966, 1449, 1932, 2898, 5796
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
The HCF of 5796,2142 is 126.
Lets's calculate GCF of 5796,2142
| 2 | 5796, 2142 |
| 3 | 2898, 1071 |
| 3 | 966, 357 |
| 7 | 322, 119 |
| 46, 17 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 7 = 126
Greatest Common Factor of 5796,2142 By Matching Biggest Common Factor Method
Now, list down the factors of 5796
:1,2,3,4,6,7,9,12,14,18,21,23,28,36,42,46,63,69,84,92,126,138,161,207,252,276,322,414,483,644,828,966,1449,1932,2898,5796
Now, list down the factors of 2142
:1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142
Greatest Common Factor
We found the factors 5796,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 5796,2142 is 126.
Lets's calculate LCM of 802,9519
Given numbers has no common factors except 1. So, there LCM is their product i.e 7634238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 126/7634238
Therefore, the GCF of Fractions 5796/802,2142/9519 is 126/7634238
Least Common Multiple of 802,9519 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 802,9519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,9519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,9519) x common factors =1 x 1 = 1
LCM(802,9519) = ( 802 × 9519 ) / 1
LCM(802,9519) = 7634238 / 1
LCM(802,9519) = 7634238
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5796/802, 2142/9519
1. What is the HCF of 5796,2142?
The HCF of 5796,2142 is 126
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 5796/802, 2142/9519?
Answer: GCF of Numerators as per given numbers 5796/802, 2142/9519 is
GCF of Numerators i.e. for 5796,2142 is 126
LCM of denominators i.e. for 802,9519 is 7634238.
Thus, GCF of Fractions is 126/7634238.Finally, GCF of Fractions for 5796/802, 2142/9519 is 126/7634238.