GCF of 424/73, 318/980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 424/73, 318/980 i.e 106/71540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/73, 318/980.
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 424/73,318/980?
Given fractions are 424/73,318/980
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 424/73,318/980, numerators are 424,318
Denominators are 73,980
The GCF of 424,318 is 106 .
LCM of 73,980 is 71540.
The greatest common factor of 424/73,318/980 = [GCF of 424,318]/[LCM of 73,980]= 106/71540
Therefore, the GCF of 424/73,318/980 is 106/71540.
To find the highest common factor of 424,318, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 424,318 is 106.
Lets's calculate GCF of 424,318
| 2 | 424, 318 |
| 53 | 212, 159 |
| 4, 3 |
∴ So the GCF of the given numbers is 2 x 53 = 106
Greatest Common Factor of 424,318 By Matching Biggest Common Factor Method
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 424,318 . The biggest common factor number is the GCF number.
So the greatest common factor 424,318 is 106.
Lets's calculate LCM of 73,980
Given numbers has no common factors except 1. So, there LCM is their product i.e 71540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 106/71540
Therefore, the GCF of Fractions 424/73,318/980 is 106/71540
Least Common Multiple of 73,980 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 73,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,980) x common factors =1 x 1 = 1
LCM(73,980) = ( 73 × 980 ) / 1
LCM(73,980) = 71540 / 1
LCM(73,980) = 71540
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FAQs on GCF of Fractions of 424/73, 318/980
1. What is the HCF of 424,318?
The HCF of 424,318 is 106
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 424/73, 318/980?
Answer: GCF of Numerators as per given numbers 424/73, 318/980 is
GCF of Numerators i.e. for 424,318 is 106
LCM of denominators i.e. for 73,980 is 71540.
Thus, GCF of Fractions is 106/71540.Finally, GCF of Fractions for 424/73, 318/980 is 106/71540.