GCF of 5564/402, 3522/5319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5564/402, 3522/5319 i.e 2/712746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5564/402, 3522/5319.
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 5564/402,3522/5319?
Given fractions are 5564/402,3522/5319
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 5564/402,3522/5319, numerators are 5564,3522
Denominators are 402,5319
The GCF of 5564,3522 is 2 .
LCM of 402,5319 is 712746.
The greatest common factor of 5564/402,3522/5319 = [GCF of 5564,3522]/[LCM of 402,5319]= 2/712746
Therefore, the GCF of 5564/402,3522/5319 is 2/712746.
To find the highest common factor of 5564,3522, we have to find the factors of both numbers and list the highest common factor.
The factors of 5564 are 1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564
The factors of 3522 are 1, 2, 3, 6, 587, 1174, 1761, 3522
The HCF of 5564,3522 is 2.
Lets's calculate GCF of 5564,3522
| 2 | 5564, 3522 |
| 2782, 1761 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5564,3522 By Matching Biggest Common Factor Method
Now, list down the factors of 5564
:1,2,4,13,26,52,107,214,428,1391,2782,5564
Now, list down the factors of 3522
:1,2,3,6,587,1174,1761,3522
Greatest Common Factor
We found the factors 5564,3522 . The biggest common factor number is the GCF number.
So the greatest common factor 5564,3522 is 2.
Lets's calculate LCM of 402,5319
| 3 | 402, 5319 |
| 134, 1773 |
∴ So the LCM of the given numbers is 3 x 134 x 1773 = 712746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/712746
Therefore, the GCF of Fractions 5564/402,3522/5319 is 2/712746
Least Common Multiple of 402,5319 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 402,5319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,5319) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(402,5319) x common factors =3 x 1 = 3
LCM(402,5319) = ( 402 × 5319 ) / 3
LCM(402,5319) = 2138238 / 3
LCM(402,5319) = 712746
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FAQs on GCF of Fractions of 5564/402, 3522/5319
1. What is the HCF of 5564,3522?
The HCF of 5564,3522 is 2
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 5564/402, 3522/5319?
Answer: GCF of Numerators as per given numbers 5564/402, 3522/5319 is
GCF of Numerators i.e. for 5564,3522 is 2
LCM of denominators i.e. for 402,5319 is 712746.
Thus, GCF of Fractions is 2/712746.Finally, GCF of Fractions for 5564/402, 3522/5319 is 2/712746.