GCF of 1318/454, 4892/6620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1318/454, 4892/6620 i.e 2/1502740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1318/454, 4892/6620.
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 1318/454,4892/6620?
Given fractions are 1318/454,4892/6620
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 1318/454,4892/6620, numerators are 1318,4892
Denominators are 454,6620
The GCF of 1318,4892 is 2 .
LCM of 454,6620 is 1502740.
The greatest common factor of 1318/454,4892/6620 = [GCF of 1318,4892]/[LCM of 454,6620]= 2/1502740
Therefore, the GCF of 1318/454,4892/6620 is 2/1502740.
To find the highest common factor of 1318,4892, we have to find the factors of both numbers and list the highest common factor.
The factors of 1318 are 1, 2, 659, 1318
The factors of 4892 are 1, 2, 4, 1223, 2446, 4892
The HCF of 1318,4892 is 2.
Lets's calculate GCF of 1318,4892
| 2 | 1318, 4892 |
| 659, 2446 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1318,4892 By Matching Biggest Common Factor Method
Now, list down the factors of 1318
:1,2,659,1318
Now, list down the factors of 4892
:1,2,4,1223,2446,4892
Greatest Common Factor
We found the factors 1318,4892 . The biggest common factor number is the GCF number.
So the greatest common factor 1318,4892 is 2.
Lets's calculate LCM of 454,6620
| 2 | 454, 6620 |
| 227, 3310 |
∴ So the LCM of the given numbers is 2 x 227 x 3310 = 1502740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1502740
Therefore, the GCF of Fractions 1318/454,4892/6620 is 2/1502740
Least Common Multiple of 454,6620 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 454,6620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,6620) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,6620) x common factors =2 x 1 = 2
LCM(454,6620) = ( 454 × 6620 ) / 2
LCM(454,6620) = 3005480 / 2
LCM(454,6620) = 1502740
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FAQs on GCF of Fractions of 1318/454, 4892/6620
1. What is the HCF of 1318,4892?
The HCF of 1318,4892 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 1318/454, 4892/6620?
Answer: GCF of Numerators as per given numbers 1318/454, 4892/6620 is
GCF of Numerators i.e. for 1318,4892 is 2
LCM of denominators i.e. for 454,6620 is 1502740.
Thus, GCF of Fractions is 2/1502740.Finally, GCF of Fractions for 1318/454, 4892/6620 is 2/1502740.