GCF of 5202/516, 2292/4206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5202/516, 2292/4206 i.e 6/361716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5202/516, 2292/4206.
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 5202/516,2292/4206?
Given fractions are 5202/516,2292/4206
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 5202/516,2292/4206, numerators are 5202,2292
Denominators are 516,4206
The GCF of 5202,2292 is 6 .
LCM of 516,4206 is 361716.
The greatest common factor of 5202/516,2292/4206 = [GCF of 5202,2292]/[LCM of 516,4206]= 6/361716
Therefore, the GCF of 5202/516,2292/4206 is 6/361716.
To find the highest common factor of 5202,2292, we have to find the factors of both numbers and list the highest common factor.
The factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202
The factors of 2292 are 1, 2, 3, 4, 6, 12, 191, 382, 573, 764, 1146, 2292
The HCF of 5202,2292 is 6.
Lets's calculate GCF of 5202,2292
| 2 | 5202, 2292 |
| 3 | 2601, 1146 |
| 867, 382 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5202,2292 By Matching Biggest Common Factor Method
Now, list down the factors of 5202
:1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202
Now, list down the factors of 2292
:1,2,3,4,6,12,191,382,573,764,1146,2292
Greatest Common Factor
We found the factors 5202,2292 . The biggest common factor number is the GCF number.
So the greatest common factor 5202,2292 is 6.
Lets's calculate LCM of 516,4206
| 2 | 516, 4206 |
| 3 | 258, 2103 |
| 86, 701 |
∴ So the LCM of the given numbers is 2 x 3 x 86 x 701 = 361716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/361716
Therefore, the GCF of Fractions 5202/516,2292/4206 is 6/361716
Least Common Multiple of 516,4206 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 516,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,4206) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(516,4206) x common factors =6 x 1 = 6
LCM(516,4206) = ( 516 × 4206 ) / 6
LCM(516,4206) = 2170296 / 6
LCM(516,4206) = 361716
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FAQs on GCF of Fractions of 5202/516, 2292/4206
1. What is the HCF of 5202,2292?
The HCF of 5202,2292 is 6
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 5202/516, 2292/4206?
Answer: GCF of Numerators as per given numbers 5202/516, 2292/4206 is
GCF of Numerators i.e. for 5202,2292 is 6
LCM of denominators i.e. for 516,4206 is 361716.
Thus, GCF of Fractions is 6/361716.Finally, GCF of Fractions for 5202/516, 2292/4206 is 6/361716.