GCF of 4540/424, 5728/894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4540/424, 5728/894 i.e 4/189528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4540/424, 5728/894.
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 4540/424,5728/894?
Given fractions are 4540/424,5728/894
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 4540/424,5728/894, numerators are 4540,5728
Denominators are 424,894
The GCF of 4540,5728 is 4 .
LCM of 424,894 is 189528.
The greatest common factor of 4540/424,5728/894 = [GCF of 4540,5728]/[LCM of 424,894]= 4/189528
Therefore, the GCF of 4540/424,5728/894 is 4/189528.
To find the highest common factor of 4540,5728, we have to find the factors of both numbers and list the highest common factor.
The factors of 4540 are 1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540
The factors of 5728 are 1, 2, 4, 8, 16, 32, 179, 358, 716, 1432, 2864, 5728
The HCF of 4540,5728 is 4.
Lets's calculate GCF of 4540,5728
| 2 | 4540, 5728 |
| 2 | 2270, 2864 |
| 1135, 1432 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4540,5728 By Matching Biggest Common Factor Method
Now, list down the factors of 4540
:1,2,4,5,10,20,227,454,908,1135,2270,4540
Now, list down the factors of 5728
:1,2,4,8,16,32,179,358,716,1432,2864,5728
Greatest Common Factor
We found the factors 4540,5728 . The biggest common factor number is the GCF number.
So the greatest common factor 4540,5728 is 4.
Lets's calculate LCM of 424,894
| 2 | 424, 894 |
| 212, 447 |
∴ So the LCM of the given numbers is 2 x 212 x 447 = 189528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/189528
Therefore, the GCF of Fractions 4540/424,5728/894 is 4/189528
Least Common Multiple of 424,894 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 424,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,894) x common factors =2 x 1 = 2
LCM(424,894) = ( 424 × 894 ) / 2
LCM(424,894) = 379056 / 2
LCM(424,894) = 189528
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FAQs on GCF of Fractions of 4540/424, 5728/894
1. What is the HCF of 4540,5728?
The HCF of 4540,5728 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 4540/424, 5728/894?
Answer: GCF of Numerators as per given numbers 4540/424, 5728/894 is
GCF of Numerators i.e. for 4540,5728 is 4
LCM of denominators i.e. for 424,894 is 189528.
Thus, GCF of Fractions is 4/189528.Finally, GCF of Fractions for 4540/424, 5728/894 is 4/189528.