GCF of 5718/419, 9620/148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5718/419, 9620/148 i.e 2/62012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5718/419, 9620/148.
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 5718/419,9620/148?
Given fractions are 5718/419,9620/148
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 5718/419,9620/148, numerators are 5718,9620
Denominators are 419,148
The GCF of 5718,9620 is 2 .
LCM of 419,148 is 62012.
The greatest common factor of 5718/419,9620/148 = [GCF of 5718,9620]/[LCM of 419,148]= 2/62012
Therefore, the GCF of 5718/419,9620/148 is 2/62012.
To find the highest common factor of 5718,9620, we have to find the factors of both numbers and list the highest common factor.
The factors of 5718 are 1, 2, 3, 6, 953, 1906, 2859, 5718
The factors of 9620 are 1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620
The HCF of 5718,9620 is 2.
Lets's calculate GCF of 5718,9620
| 2 | 5718, 9620 |
| 2859, 4810 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5718,9620 By Matching Biggest Common Factor Method
Now, list down the factors of 5718
:1,2,3,6,953,1906,2859,5718
Now, list down the factors of 9620
:1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620
Greatest Common Factor
We found the factors 5718,9620 . The biggest common factor number is the GCF number.
So the greatest common factor 5718,9620 is 2.
Lets's calculate LCM of 419,148
Given numbers has no common factors except 1. So, there LCM is their product i.e 62012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62012
Therefore, the GCF of Fractions 5718/419,9620/148 is 2/62012
Least Common Multiple of 419,148 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 419,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,148) x common factors =1 x 1 = 1
LCM(419,148) = ( 419 × 148 ) / 1
LCM(419,148) = 62012 / 1
LCM(419,148) = 62012
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FAQs on GCF of Fractions of 5718/419, 9620/148
1. What is the HCF of 5718,9620?
The HCF of 5718,9620 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 5718/419, 9620/148?
Answer: GCF of Numerators as per given numbers 5718/419, 9620/148 is
GCF of Numerators i.e. for 5718,9620 is 2
LCM of denominators i.e. for 419,148 is 62012.
Thus, GCF of Fractions is 2/62012.Finally, GCF of Fractions for 5718/419, 9620/148 is 2/62012.