GCF of 3234/424, 5348/148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3234/424, 5348/148 i.e 14/15688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3234/424, 5348/148.
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 3234/424,5348/148?
Given fractions are 3234/424,5348/148
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 3234/424,5348/148, numerators are 3234,5348
Denominators are 424,148
The GCF of 3234,5348 is 14 .
LCM of 424,148 is 15688.
The greatest common factor of 3234/424,5348/148 = [GCF of 3234,5348]/[LCM of 424,148]= 14/15688
Therefore, the GCF of 3234/424,5348/148 is 14/15688.
To find the highest common factor of 3234,5348, we have to find the factors of both numbers and list the highest common factor.
The factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234
The factors of 5348 are 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348
The HCF of 3234,5348 is 14.
Lets's calculate GCF of 3234,5348
| 2 | 3234, 5348 |
| 7 | 1617, 2674 |
| 231, 382 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 3234,5348 By Matching Biggest Common Factor Method
Now, list down the factors of 3234
:1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234
Now, list down the factors of 5348
:1,2,4,7,14,28,191,382,764,1337,2674,5348
Greatest Common Factor
We found the factors 3234,5348 . The biggest common factor number is the GCF number.
So the greatest common factor 3234,5348 is 14.
Lets's calculate LCM of 424,148
| 2 | 424, 148 |
| 2 | 212, 74 |
| 106, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 106 x 37 = 15688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/15688
Therefore, the GCF of Fractions 3234/424,5348/148 is 14/15688
Least Common Multiple of 424,148 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 424,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,148) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(424,148) x common factors =4 x 1 = 4
LCM(424,148) = ( 424 × 148 ) / 4
LCM(424,148) = 62752 / 4
LCM(424,148) = 15688
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FAQs on GCF of Fractions of 3234/424, 5348/148
1. What is the HCF of 3234,5348?
The HCF of 3234,5348 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 3234/424, 5348/148?
Answer: GCF of Numerators as per given numbers 3234/424, 5348/148 is
GCF of Numerators i.e. for 3234,5348 is 14
LCM of denominators i.e. for 424,148 is 15688.
Thus, GCF of Fractions is 14/15688.Finally, GCF of Fractions for 3234/424, 5348/148 is 14/15688.