GCF of 574/128, 5096/8542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 574/128, 5096/8542 i.e 14/546688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/128, 5096/8542.
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 574/128,5096/8542?
Given fractions are 574/128,5096/8542
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 574/128,5096/8542, numerators are 574,5096
Denominators are 128,8542
The GCF of 574,5096 is 14 .
LCM of 128,8542 is 546688.
The greatest common factor of 574/128,5096/8542 = [GCF of 574,5096]/[LCM of 128,8542]= 14/546688
Therefore, the GCF of 574/128,5096/8542 is 14/546688.
To find the highest common factor of 574,5096, we have to find the factors of both numbers and list the highest common factor.
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The factors of 5096 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548, 5096
The HCF of 574,5096 is 14.
Lets's calculate GCF of 574,5096
| 2 | 574, 5096 |
| 7 | 287, 2548 |
| 41, 364 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 574,5096 By Matching Biggest Common Factor Method
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Now, list down the factors of 5096
:1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096
Greatest Common Factor
We found the factors 574,5096 . The biggest common factor number is the GCF number.
So the greatest common factor 574,5096 is 14.
Lets's calculate LCM of 128,8542
| 2 | 128, 8542 |
| 64, 4271 |
∴ So the LCM of the given numbers is 2 x 64 x 4271 = 546688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/546688
Therefore, the GCF of Fractions 574/128,5096/8542 is 14/546688
Least Common Multiple of 128,8542 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 128,8542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,8542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,8542) x common factors =2 x 1 = 2
LCM(128,8542) = ( 128 × 8542 ) / 2
LCM(128,8542) = 1093376 / 2
LCM(128,8542) = 546688
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FAQs on GCF of Fractions of 574/128, 5096/8542
1. What is the HCF of 574,5096?
The HCF of 574,5096 is 14
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 574/128, 5096/8542?
Answer: GCF of Numerators as per given numbers 574/128, 5096/8542 is
GCF of Numerators i.e. for 574,5096 is 14
LCM of denominators i.e. for 128,8542 is 546688.
Thus, GCF of Fractions is 14/546688.Finally, GCF of Fractions for 574/128, 5096/8542 is 14/546688.