GCF of 1434/596, 4654/1026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1434/596, 4654/1026 i.e 2/305748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1434/596, 4654/1026.
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 1434/596,4654/1026?
Given fractions are 1434/596,4654/1026
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 1434/596,4654/1026, numerators are 1434,4654
Denominators are 596,1026
The GCF of 1434,4654 is 2 .
LCM of 596,1026 is 305748.
The greatest common factor of 1434/596,4654/1026 = [GCF of 1434,4654]/[LCM of 596,1026]= 2/305748
Therefore, the GCF of 1434/596,4654/1026 is 2/305748.
To find the highest common factor of 1434,4654, we have to find the factors of both numbers and list the highest common factor.
The factors of 1434 are 1, 2, 3, 6, 239, 478, 717, 1434
The factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654
The HCF of 1434,4654 is 2.
Lets's calculate GCF of 1434,4654
| 2 | 1434, 4654 |
| 717, 2327 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1434,4654 By Matching Biggest Common Factor Method
Now, list down the factors of 1434
:1,2,3,6,239,478,717,1434
Now, list down the factors of 4654
:1,2,13,26,179,358,2327,4654
Greatest Common Factor
We found the factors 1434,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 1434,4654 is 2.
Lets's calculate LCM of 596,1026
| 2 | 596, 1026 |
| 298, 513 |
∴ So the LCM of the given numbers is 2 x 298 x 513 = 305748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/305748
Therefore, the GCF of Fractions 1434/596,4654/1026 is 2/305748
Least Common Multiple of 596,1026 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 596,1026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,1026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,1026) x common factors =2 x 1 = 2
LCM(596,1026) = ( 596 × 1026 ) / 2
LCM(596,1026) = 611496 / 2
LCM(596,1026) = 305748
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FAQs on GCF of Fractions of 1434/596, 4654/1026
1. What is the HCF of 1434,4654?
The HCF of 1434,4654 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 1434/596, 4654/1026?
Answer: GCF of Numerators as per given numbers 1434/596, 4654/1026 is
GCF of Numerators i.e. for 1434,4654 is 2
LCM of denominators i.e. for 596,1026 is 305748.
Thus, GCF of Fractions is 2/305748.Finally, GCF of Fractions for 1434/596, 4654/1026 is 2/305748.