GCF of 1124/542, 5488/7828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1124/542, 5488/7828 i.e 4/2121388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1124/542, 5488/7828.
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 1124/542,5488/7828?
Given fractions are 1124/542,5488/7828
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 1124/542,5488/7828, numerators are 1124,5488
Denominators are 542,7828
The GCF of 1124,5488 is 4 .
LCM of 542,7828 is 2121388.
The greatest common factor of 1124/542,5488/7828 = [GCF of 1124,5488]/[LCM of 542,7828]= 4/2121388
Therefore, the GCF of 1124/542,5488/7828 is 4/2121388.
To find the highest common factor of 1124,5488, we have to find the factors of both numbers and list the highest common factor.
The factors of 1124 are 1, 2, 4, 281, 562, 1124
The factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488
The HCF of 1124,5488 is 4.
Lets's calculate GCF of 1124,5488
| 2 | 1124, 5488 |
| 2 | 562, 2744 |
| 281, 1372 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1124,5488 By Matching Biggest Common Factor Method
Now, list down the factors of 1124
:1,2,4,281,562,1124
Now, list down the factors of 5488
:1,2,4,7,8,14,16,28,49,56,98,112,196,343,392,686,784,1372,2744,5488
Greatest Common Factor
We found the factors 1124,5488 . The biggest common factor number is the GCF number.
So the greatest common factor 1124,5488 is 4.
Lets's calculate LCM of 542,7828
| 2 | 542, 7828 |
| 271, 3914 |
∴ So the LCM of the given numbers is 2 x 271 x 3914 = 2121388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2121388
Therefore, the GCF of Fractions 1124/542,5488/7828 is 4/2121388
Least Common Multiple of 542,7828 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 542,7828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,7828) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,7828) x common factors =2 x 1 = 2
LCM(542,7828) = ( 542 × 7828 ) / 2
LCM(542,7828) = 4242776 / 2
LCM(542,7828) = 2121388
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FAQs on GCF of Fractions of 1124/542, 5488/7828
1. What is the HCF of 1124,5488?
The HCF of 1124,5488 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 1124/542, 5488/7828?
Answer: GCF of Numerators as per given numbers 1124/542, 5488/7828 is
GCF of Numerators i.e. for 1124,5488 is 4
LCM of denominators i.e. for 542,7828 is 2121388.
Thus, GCF of Fractions is 4/2121388.Finally, GCF of Fractions for 1124/542, 5488/7828 is 4/2121388.