GCF of 5524/783, 2804/8592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5524/783, 2804/8592 i.e 4/2242512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5524/783, 2804/8592.
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 5524/783,2804/8592?
Given fractions are 5524/783,2804/8592
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 5524/783,2804/8592, numerators are 5524,2804
Denominators are 783,8592
The GCF of 5524,2804 is 4 .
LCM of 783,8592 is 2242512.
The greatest common factor of 5524/783,2804/8592 = [GCF of 5524,2804]/[LCM of 783,8592]= 4/2242512
Therefore, the GCF of 5524/783,2804/8592 is 4/2242512.
To find the highest common factor of 5524,2804, we have to find the factors of both numbers and list the highest common factor.
The factors of 5524 are 1, 2, 4, 1381, 2762, 5524
The factors of 2804 are 1, 2, 4, 701, 1402, 2804
The HCF of 5524,2804 is 4.
Lets's calculate GCF of 5524,2804
| 2 | 5524, 2804 |
| 2 | 2762, 1402 |
| 1381, 701 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5524,2804 By Matching Biggest Common Factor Method
Now, list down the factors of 5524
:1,2,4,1381,2762,5524
Now, list down the factors of 2804
:1,2,4,701,1402,2804
Greatest Common Factor
We found the factors 5524,2804 . The biggest common factor number is the GCF number.
So the greatest common factor 5524,2804 is 4.
Lets's calculate LCM of 783,8592
| 3 | 783, 8592 |
| 261, 2864 |
∴ So the LCM of the given numbers is 3 x 261 x 2864 = 2242512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2242512
Therefore, the GCF of Fractions 5524/783,2804/8592 is 4/2242512
Least Common Multiple of 783,8592 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 783,8592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,8592) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,8592) x common factors =3 x 1 = 3
LCM(783,8592) = ( 783 × 8592 ) / 3
LCM(783,8592) = 6727536 / 3
LCM(783,8592) = 2242512
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FAQs on GCF of Fractions of 5524/783, 2804/8592
1. What is the HCF of 5524,2804?
The HCF of 5524,2804 is 4
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 5524/783, 2804/8592?
Answer: GCF of Numerators as per given numbers 5524/783, 2804/8592 is
GCF of Numerators i.e. for 5524,2804 is 4
LCM of denominators i.e. for 783,8592 is 2242512.
Thus, GCF of Fractions is 4/2242512.Finally, GCF of Fractions for 5524/783, 2804/8592 is 4/2242512.