GCF of 4738/645, 8378/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4738/645, 8378/825 i.e 2/35475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4738/645, 8378/825.
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 4738/645,8378/825?
Given fractions are 4738/645,8378/825
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 4738/645,8378/825, numerators are 4738,8378
Denominators are 645,825
The GCF of 4738,8378 is 2 .
LCM of 645,825 is 35475.
The greatest common factor of 4738/645,8378/825 = [GCF of 4738,8378]/[LCM of 645,825]= 2/35475
Therefore, the GCF of 4738/645,8378/825 is 2/35475.
To find the highest common factor of 4738,8378, we have to find the factors of both numbers and list the highest common factor.
The factors of 4738 are 1, 2, 23, 46, 103, 206, 2369, 4738
The factors of 8378 are 1, 2, 59, 71, 118, 142, 4189, 8378
The HCF of 4738,8378 is 2.
Lets's calculate GCF of 4738,8378
| 2 | 4738, 8378 |
| 2369, 4189 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4738,8378 By Matching Biggest Common Factor Method
Now, list down the factors of 4738
:1,2,23,46,103,206,2369,4738
Now, list down the factors of 8378
:1,2,59,71,118,142,4189,8378
Greatest Common Factor
We found the factors 4738,8378 . The biggest common factor number is the GCF number.
So the greatest common factor 4738,8378 is 2.
Lets's calculate LCM of 645,825
| 3 | 645, 825 |
| 5 | 215, 275 |
| 43, 55 |
∴ So the LCM of the given numbers is 3 x 5 x 43 x 55 = 35475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35475
Therefore, the GCF of Fractions 4738/645,8378/825 is 2/35475
Least Common Multiple of 645,825 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 645,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,825) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(645,825) x common factors =15 x 1 = 15
LCM(645,825) = ( 645 × 825 ) / 15
LCM(645,825) = 532125 / 15
LCM(645,825) = 35475
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FAQs on GCF of Fractions of 4738/645, 8378/825
1. What is the HCF of 4738,8378?
The HCF of 4738,8378 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 4738/645, 8378/825?
Answer: GCF of Numerators as per given numbers 4738/645, 8378/825 is
GCF of Numerators i.e. for 4738,8378 is 2
LCM of denominators i.e. for 645,825 is 35475.
Thus, GCF of Fractions is 2/35475.Finally, GCF of Fractions for 4738/645, 8378/825 is 2/35475.