GCF of 4753/394, 1896/8248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4753/394, 1896/8248 i.e 1/1624856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4753/394, 1896/8248.
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 4753/394,1896/8248?
Given fractions are 4753/394,1896/8248
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 4753/394,1896/8248, numerators are 4753,1896
Denominators are 394,8248
The GCF of 4753,1896 is 1 .
LCM of 394,8248 is 1624856.
The greatest common factor of 4753/394,1896/8248 = [GCF of 4753,1896]/[LCM of 394,8248]= 1/1624856
Therefore, the GCF of 4753/394,1896/8248 is 1/1624856.
To find the highest common factor of 4753,1896, we have to find the factors of both numbers and list the highest common factor.
The factors of 4753 are 1, 7, 49, 97, 679, 4753
The factors of 1896 are 1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896
The HCF of 4753,1896 is 1.
Lets's calculate GCF of 4753,1896
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4753,1896 By Matching Biggest Common Factor Method
Now, list down the factors of 4753
:1,7,49,97,679,4753
Now, list down the factors of 1896
:1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896
Greatest Common Factor
We found the factors 4753,1896 . The biggest common factor number is the GCF number.
So the greatest common factor 4753,1896 is 1.
Lets's calculate LCM of 394,8248
| 2 | 394, 8248 |
| 197, 4124 |
∴ So the LCM of the given numbers is 2 x 197 x 4124 = 1624856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1624856
Therefore, the GCF of Fractions 4753/394,1896/8248 is 1/1624856
Least Common Multiple of 394,8248 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 394,8248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,8248) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,8248) x common factors =2 x 1 = 2
LCM(394,8248) = ( 394 × 8248 ) / 2
LCM(394,8248) = 3249712 / 2
LCM(394,8248) = 1624856
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FAQs on GCF of Fractions of 4753/394, 1896/8248
1. What is the HCF of 4753,1896?
The HCF of 4753,1896 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 4753/394, 1896/8248?
Answer: GCF of Numerators as per given numbers 4753/394, 1896/8248 is
GCF of Numerators i.e. for 4753,1896 is 1
LCM of denominators i.e. for 394,8248 is 1624856.
Thus, GCF of Fractions is 1/1624856.Finally, GCF of Fractions for 4753/394, 1896/8248 is 1/1624856.