GCF of 3584/268, 2558/7524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3584/268, 2558/7524 i.e 2/504108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3584/268, 2558/7524.
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 3584/268,2558/7524?
Given fractions are 3584/268,2558/7524
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 3584/268,2558/7524, numerators are 3584,2558
Denominators are 268,7524
The GCF of 3584,2558 is 2 .
LCM of 268,7524 is 504108.
The greatest common factor of 3584/268,2558/7524 = [GCF of 3584,2558]/[LCM of 268,7524]= 2/504108
Therefore, the GCF of 3584/268,2558/7524 is 2/504108.
To find the highest common factor of 3584,2558, we have to find the factors of both numbers and list the highest common factor.
The factors of 3584 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1792, 3584
The factors of 2558 are 1, 2, 1279, 2558
The HCF of 3584,2558 is 2.
Lets's calculate GCF of 3584,2558
| 2 | 3584, 2558 |
| 1792, 1279 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3584,2558 By Matching Biggest Common Factor Method
Now, list down the factors of 3584
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1792,3584
Now, list down the factors of 2558
:1,2,1279,2558
Greatest Common Factor
We found the factors 3584,2558 . The biggest common factor number is the GCF number.
So the greatest common factor 3584,2558 is 2.
Lets's calculate LCM of 268,7524
| 2 | 268, 7524 |
| 2 | 134, 3762 |
| 67, 1881 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 1881 = 504108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/504108
Therefore, the GCF of Fractions 3584/268,2558/7524 is 2/504108
Least Common Multiple of 268,7524 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 268,7524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,7524) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(268,7524) x common factors =4 x 1 = 4
LCM(268,7524) = ( 268 × 7524 ) / 4
LCM(268,7524) = 2016432 / 4
LCM(268,7524) = 504108
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FAQs on GCF of Fractions of 3584/268, 2558/7524
1. What is the HCF of 3584,2558?
The HCF of 3584,2558 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 3584/268, 2558/7524?
Answer: GCF of Numerators as per given numbers 3584/268, 2558/7524 is
GCF of Numerators i.e. for 3584,2558 is 2
LCM of denominators i.e. for 268,7524 is 504108.
Thus, GCF of Fractions is 2/504108.Finally, GCF of Fractions for 3584/268, 2558/7524 is 2/504108.