GCF of 5522/868, 7544/4812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5522/868, 7544/4812 i.e 2/1044204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5522/868, 7544/4812.
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 5522/868,7544/4812?
Given fractions are 5522/868,7544/4812
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 5522/868,7544/4812, numerators are 5522,7544
Denominators are 868,4812
The GCF of 5522,7544 is 2 .
LCM of 868,4812 is 1044204.
The greatest common factor of 5522/868,7544/4812 = [GCF of 5522,7544]/[LCM of 868,4812]= 2/1044204
Therefore, the GCF of 5522/868,7544/4812 is 2/1044204.
To find the highest common factor of 5522,7544, we have to find the factors of both numbers and list the highest common factor.
The factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522
The factors of 7544 are 1, 2, 4, 8, 23, 41, 46, 82, 92, 164, 184, 328, 943, 1886, 3772, 7544
The HCF of 5522,7544 is 2.
Lets's calculate GCF of 5522,7544
| 2 | 5522, 7544 |
| 2761, 3772 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5522,7544 By Matching Biggest Common Factor Method
Now, list down the factors of 5522
:1,2,11,22,251,502,2761,5522
Now, list down the factors of 7544
:1,2,4,8,23,41,46,82,92,164,184,328,943,1886,3772,7544
Greatest Common Factor
We found the factors 5522,7544 . The biggest common factor number is the GCF number.
So the greatest common factor 5522,7544 is 2.
Lets's calculate LCM of 868,4812
| 2 | 868, 4812 |
| 2 | 434, 2406 |
| 217, 1203 |
∴ So the LCM of the given numbers is 2 x 2 x 217 x 1203 = 1044204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1044204
Therefore, the GCF of Fractions 5522/868,7544/4812 is 2/1044204
Least Common Multiple of 868,4812 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 868,4812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,4812) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(868,4812) x common factors =4 x 1 = 4
LCM(868,4812) = ( 868 × 4812 ) / 4
LCM(868,4812) = 4176816 / 4
LCM(868,4812) = 1044204
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FAQs on GCF of Fractions of 5522/868, 7544/4812
1. What is the HCF of 5522,7544?
The HCF of 5522,7544 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 5522/868, 7544/4812?
Answer: GCF of Numerators as per given numbers 5522/868, 7544/4812 is
GCF of Numerators i.e. for 5522,7544 is 2
LCM of denominators i.e. for 868,4812 is 1044204.
Thus, GCF of Fractions is 2/1044204.Finally, GCF of Fractions for 5522/868, 7544/4812 is 2/1044204.