GCF of 5222/516, 3563/3180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5222/516, 3563/3180 i.e 7/136740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5222/516, 3563/3180.
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 5222/516,3563/3180?
Given fractions are 5222/516,3563/3180
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 5222/516,3563/3180, numerators are 5222,3563
Denominators are 516,3180
The GCF of 5222,3563 is 7 .
LCM of 516,3180 is 136740.
The greatest common factor of 5222/516,3563/3180 = [GCF of 5222,3563]/[LCM of 516,3180]= 7/136740
Therefore, the GCF of 5222/516,3563/3180 is 7/136740.
To find the highest common factor of 5222,3563, we have to find the factors of both numbers and list the highest common factor.
The factors of 5222 are 1, 2, 7, 14, 373, 746, 2611, 5222
The factors of 3563 are 1, 7, 509, 3563
The HCF of 5222,3563 is 7.
Lets's calculate GCF of 5222,3563
| 7 | 5222, 3563 |
| 746, 509 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5222,3563 By Matching Biggest Common Factor Method
Now, list down the factors of 5222
:1,2,7,14,373,746,2611,5222
Now, list down the factors of 3563
:1,7,509,3563
Greatest Common Factor
We found the factors 5222,3563 . The biggest common factor number is the GCF number.
So the greatest common factor 5222,3563 is 7.
Lets's calculate LCM of 516,3180
| 2 | 516, 3180 |
| 2 | 258, 1590 |
| 3 | 129, 795 |
| 43, 265 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 265 = 136740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/136740
Therefore, the GCF of Fractions 5222/516,3563/3180 is 7/136740
Least Common Multiple of 516,3180 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 516,3180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,3180) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(516,3180) x common factors =12 x 1 = 12
LCM(516,3180) = ( 516 × 3180 ) / 12
LCM(516,3180) = 1640880 / 12
LCM(516,3180) = 136740
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FAQs on GCF of Fractions of 5222/516, 3563/3180
1. What is the HCF of 5222,3563?
The HCF of 5222,3563 is 7
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 5222/516, 3563/3180?
Answer: GCF of Numerators as per given numbers 5222/516, 3563/3180 is
GCF of Numerators i.e. for 5222,3563 is 7
LCM of denominators i.e. for 516,3180 is 136740.
Thus, GCF of Fractions is 7/136740.Finally, GCF of Fractions for 5222/516, 3563/3180 is 7/136740.