GCF of 1894/506, 3024/658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1894/506, 3024/658 i.e 2/166474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1894/506, 3024/658.
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 1894/506,3024/658?
Given fractions are 1894/506,3024/658
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 1894/506,3024/658, numerators are 1894,3024
Denominators are 506,658
The GCF of 1894,3024 is 2 .
LCM of 506,658 is 166474.
The greatest common factor of 1894/506,3024/658 = [GCF of 1894,3024]/[LCM of 506,658]= 2/166474
Therefore, the GCF of 1894/506,3024/658 is 2/166474.
To find the highest common factor of 1894,3024, we have to find the factors of both numbers and list the highest common factor.
The factors of 1894 are 1, 2, 947, 1894
The factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024
The HCF of 1894,3024 is 2.
Lets's calculate GCF of 1894,3024
| 2 | 1894, 3024 |
| 947, 1512 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1894,3024 By Matching Biggest Common Factor Method
Now, list down the factors of 1894
:1,2,947,1894
Now, list down the factors of 3024
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024
Greatest Common Factor
We found the factors 1894,3024 . The biggest common factor number is the GCF number.
So the greatest common factor 1894,3024 is 2.
Lets's calculate LCM of 506,658
| 2 | 506, 658 |
| 253, 329 |
∴ So the LCM of the given numbers is 2 x 253 x 329 = 166474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/166474
Therefore, the GCF of Fractions 1894/506,3024/658 is 2/166474
Least Common Multiple of 506,658 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 506,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,658) x common factors =2 x 1 = 2
LCM(506,658) = ( 506 × 658 ) / 2
LCM(506,658) = 332948 / 2
LCM(506,658) = 166474
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FAQs on GCF of Fractions of 1894/506, 3024/658
1. What is the HCF of 1894,3024?
The HCF of 1894,3024 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 1894/506, 3024/658?
Answer: GCF of Numerators as per given numbers 1894/506, 3024/658 is
GCF of Numerators i.e. for 1894,3024 is 2
LCM of denominators i.e. for 506,658 is 166474.
Thus, GCF of Fractions is 2/166474.Finally, GCF of Fractions for 1894/506, 3024/658 is 2/166474.