GCF of 4814/678, 9505/460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4814/678, 9505/460 i.e 1/155940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4814/678, 9505/460.
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 4814/678,9505/460?
Given fractions are 4814/678,9505/460
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 4814/678,9505/460, numerators are 4814,9505
Denominators are 678,460
The GCF of 4814,9505 is 1 .
LCM of 678,460 is 155940.
The greatest common factor of 4814/678,9505/460 = [GCF of 4814,9505]/[LCM of 678,460]= 1/155940
Therefore, the GCF of 4814/678,9505/460 is 1/155940.
To find the highest common factor of 4814,9505, we have to find the factors of both numbers and list the highest common factor.
The factors of 4814 are 1, 2, 29, 58, 83, 166, 2407, 4814
The factors of 9505 are 1, 5, 1901, 9505
The HCF of 4814,9505 is 1.
Lets's calculate GCF of 4814,9505
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4814,9505 By Matching Biggest Common Factor Method
Now, list down the factors of 4814
:1,2,29,58,83,166,2407,4814
Now, list down the factors of 9505
:1,5,1901,9505
Greatest Common Factor
We found the factors 4814,9505 . The biggest common factor number is the GCF number.
So the greatest common factor 4814,9505 is 1.
Lets's calculate LCM of 678,460
| 2 | 678, 460 |
| 339, 230 |
∴ So the LCM of the given numbers is 2 x 339 x 230 = 155940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155940
Therefore, the GCF of Fractions 4814/678,9505/460 is 1/155940
Least Common Multiple of 678,460 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 678,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,460) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(678,460) x common factors =2 x 1 = 2
LCM(678,460) = ( 678 × 460 ) / 2
LCM(678,460) = 311880 / 2
LCM(678,460) = 155940
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FAQs on GCF of Fractions of 4814/678, 9505/460
1. What is the HCF of 4814,9505?
The HCF of 4814,9505 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 4814/678, 9505/460?
Answer: GCF of Numerators as per given numbers 4814/678, 9505/460 is
GCF of Numerators i.e. for 4814,9505 is 1
LCM of denominators i.e. for 678,460 is 155940.
Thus, GCF of Fractions is 1/155940.Finally, GCF of Fractions for 4814/678, 9505/460 is 1/155940.