GCF of 1434/948, 5638/8274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1434/948, 5638/8274 i.e 2/1307292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1434/948, 5638/8274.
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 1434/948,5638/8274?
Given fractions are 1434/948,5638/8274
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 1434/948,5638/8274, numerators are 1434,5638
Denominators are 948,8274
The GCF of 1434,5638 is 2 .
LCM of 948,8274 is 1307292.
The greatest common factor of 1434/948,5638/8274 = [GCF of 1434,5638]/[LCM of 948,8274]= 2/1307292
Therefore, the GCF of 1434/948,5638/8274 is 2/1307292.
To find the highest common factor of 1434,5638, 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 5638 are 1, 2, 2819, 5638
The HCF of 1434,5638 is 2.
Lets's calculate GCF of 1434,5638
| 2 | 1434, 5638 |
| 717, 2819 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1434,5638 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 5638
:1,2,2819,5638
Greatest Common Factor
We found the factors 1434,5638 . The biggest common factor number is the GCF number.
So the greatest common factor 1434,5638 is 2.
Lets's calculate LCM of 948,8274
| 2 | 948, 8274 |
| 3 | 474, 4137 |
| 158, 1379 |
∴ So the LCM of the given numbers is 2 x 3 x 158 x 1379 = 1307292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1307292
Therefore, the GCF of Fractions 1434/948,5638/8274 is 2/1307292
Least Common Multiple of 948,8274 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 948,8274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,8274) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(948,8274) x common factors =6 x 1 = 6
LCM(948,8274) = ( 948 × 8274 ) / 6
LCM(948,8274) = 7843752 / 6
LCM(948,8274) = 1307292
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FAQs on GCF of Fractions of 1434/948, 5638/8274
1. What is the HCF of 1434,5638?
The HCF of 1434,5638 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 1434/948, 5638/8274?
Answer: GCF of Numerators as per given numbers 1434/948, 5638/8274 is
GCF of Numerators i.e. for 1434,5638 is 2
LCM of denominators i.e. for 948,8274 is 1307292.
Thus, GCF of Fractions is 2/1307292.Finally, GCF of Fractions for 1434/948, 5638/8274 is 2/1307292.