GCF of 3114/742, 5047/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3114/742, 5047/384 i.e 1/142464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3114/742, 5047/384.
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 3114/742,5047/384?
Given fractions are 3114/742,5047/384
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 3114/742,5047/384, numerators are 3114,5047
Denominators are 742,384
The GCF of 3114,5047 is 1 .
LCM of 742,384 is 142464.
The greatest common factor of 3114/742,5047/384 = [GCF of 3114,5047]/[LCM of 742,384]= 1/142464
Therefore, the GCF of 3114/742,5047/384 is 1/142464.
To find the highest common factor of 3114,5047, we have to find the factors of both numbers and list the highest common factor.
The factors of 3114 are 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114
The factors of 5047 are 1, 7, 49, 103, 721, 5047
The HCF of 3114,5047 is 1.
Lets's calculate GCF of 3114,5047
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3114,5047 By Matching Biggest Common Factor Method
Now, list down the factors of 3114
:1,2,3,6,9,18,173,346,519,1038,1557,3114
Now, list down the factors of 5047
:1,7,49,103,721,5047
Greatest Common Factor
We found the factors 3114,5047 . The biggest common factor number is the GCF number.
So the greatest common factor 3114,5047 is 1.
Lets's calculate LCM of 742,384
| 2 | 742, 384 |
| 371, 192 |
∴ So the LCM of the given numbers is 2 x 371 x 192 = 142464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142464
Therefore, the GCF of Fractions 3114/742,5047/384 is 1/142464
Least Common Multiple of 742,384 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 742,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,384) x common factors =2 x 1 = 2
LCM(742,384) = ( 742 × 384 ) / 2
LCM(742,384) = 284928 / 2
LCM(742,384) = 142464
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FAQs on GCF of Fractions of 3114/742, 5047/384
1. What is the HCF of 3114,5047?
The HCF of 3114,5047 is 1
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 3114/742, 5047/384?
Answer: GCF of Numerators as per given numbers 3114/742, 5047/384 is
GCF of Numerators i.e. for 3114,5047 is 1
LCM of denominators i.e. for 742,384 is 142464.
Thus, GCF of Fractions is 1/142464.Finally, GCF of Fractions for 3114/742, 5047/384 is 1/142464.