GCF of 5172/427, 1023/749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5172/427, 1023/749 i.e 3/45689 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5172/427, 1023/749.
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 5172/427,1023/749?
Given fractions are 5172/427,1023/749
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 5172/427,1023/749, numerators are 5172,1023
Denominators are 427,749
The GCF of 5172,1023 is 3 .
LCM of 427,749 is 45689.
The greatest common factor of 5172/427,1023/749 = [GCF of 5172,1023]/[LCM of 427,749]= 3/45689
Therefore, the GCF of 5172/427,1023/749 is 3/45689.
To find the highest common factor of 5172,1023, we have to find the factors of both numbers and list the highest common factor.
The factors of 5172 are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172
The factors of 1023 are 1, 3, 11, 31, 33, 93, 341, 1023
The HCF of 5172,1023 is 3.
Lets's calculate GCF of 5172,1023
| 3 | 5172, 1023 |
| 1724, 341 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5172,1023 By Matching Biggest Common Factor Method
Now, list down the factors of 5172
:1,2,3,4,6,12,431,862,1293,1724,2586,5172
Now, list down the factors of 1023
:1,3,11,31,33,93,341,1023
Greatest Common Factor
We found the factors 5172,1023 . The biggest common factor number is the GCF number.
So the greatest common factor 5172,1023 is 3.
Lets's calculate LCM of 427,749
| 7 | 427, 749 |
| 61, 107 |
∴ So the LCM of the given numbers is 7 x 61 x 107 = 45689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45689
Therefore, the GCF of Fractions 5172/427,1023/749 is 3/45689
Least Common Multiple of 427,749 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 427,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,749) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(427,749) x common factors =7 x 1 = 7
LCM(427,749) = ( 427 × 749 ) / 7
LCM(427,749) = 319823 / 7
LCM(427,749) = 45689
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FAQs on GCF of Fractions of 5172/427, 1023/749
1. What is the HCF of 5172,1023?
The HCF of 5172,1023 is 3
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 5172/427, 1023/749?
Answer: GCF of Numerators as per given numbers 5172/427, 1023/749 is
GCF of Numerators i.e. for 5172,1023 is 3
LCM of denominators i.e. for 427,749 is 45689.
Thus, GCF of Fractions is 3/45689.Finally, GCF of Fractions for 5172/427, 1023/749 is 3/45689.