GCF of 4383/624, 9658/892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4383/624, 9658/892 i.e 1/139152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4383/624, 9658/892.
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 4383/624,9658/892?
Given fractions are 4383/624,9658/892
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 4383/624,9658/892, numerators are 4383,9658
Denominators are 624,892
The GCF of 4383,9658 is 1 .
LCM of 624,892 is 139152.
The greatest common factor of 4383/624,9658/892 = [GCF of 4383,9658]/[LCM of 624,892]= 1/139152
Therefore, the GCF of 4383/624,9658/892 is 1/139152.
To find the highest common factor of 4383,9658, we have to find the factors of both numbers and list the highest common factor.
The factors of 4383 are 1, 3, 9, 487, 1461, 4383
The factors of 9658 are 1, 2, 11, 22, 439, 878, 4829, 9658
The HCF of 4383,9658 is 1.
Lets's calculate GCF of 4383,9658
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4383,9658 By Matching Biggest Common Factor Method
Now, list down the factors of 4383
:1,3,9,487,1461,4383
Now, list down the factors of 9658
:1,2,11,22,439,878,4829,9658
Greatest Common Factor
We found the factors 4383,9658 . The biggest common factor number is the GCF number.
So the greatest common factor 4383,9658 is 1.
Lets's calculate LCM of 624,892
| 2 | 624, 892 |
| 2 | 312, 446 |
| 156, 223 |
∴ So the LCM of the given numbers is 2 x 2 x 156 x 223 = 139152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139152
Therefore, the GCF of Fractions 4383/624,9658/892 is 1/139152
Least Common Multiple of 624,892 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 624,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,892) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(624,892) x common factors =4 x 1 = 4
LCM(624,892) = ( 624 × 892 ) / 4
LCM(624,892) = 556608 / 4
LCM(624,892) = 139152
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FAQs on GCF of Fractions of 4383/624, 9658/892
1. What is the HCF of 4383,9658?
The HCF of 4383,9658 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 4383/624, 9658/892?
Answer: GCF of Numerators as per given numbers 4383/624, 9658/892 is
GCF of Numerators i.e. for 4383,9658 is 1
LCM of denominators i.e. for 624,892 is 139152.
Thus, GCF of Fractions is 1/139152.Finally, GCF of Fractions for 4383/624, 9658/892 is 1/139152.