GCF of 4424/517, 3040/813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4424/517, 3040/813 i.e 8/420321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4424/517, 3040/813.
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 4424/517,3040/813?
Given fractions are 4424/517,3040/813
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 4424/517,3040/813, numerators are 4424,3040
Denominators are 517,813
The GCF of 4424,3040 is 8 .
LCM of 517,813 is 420321.
The greatest common factor of 4424/517,3040/813 = [GCF of 4424,3040]/[LCM of 517,813]= 8/420321
Therefore, the GCF of 4424/517,3040/813 is 8/420321.
To find the highest common factor of 4424,3040, we have to find the factors of both numbers and list the highest common factor.
The factors of 4424 are 1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424
The factors of 3040 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040
The HCF of 4424,3040 is 8.
Lets's calculate GCF of 4424,3040
| 2 | 4424, 3040 |
| 2 | 2212, 1520 |
| 2 | 1106, 760 |
| 553, 380 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4424,3040 By Matching Biggest Common Factor Method
Now, list down the factors of 4424
:1,2,4,7,8,14,28,56,79,158,316,553,632,1106,2212,4424
Now, list down the factors of 3040
:1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040
Greatest Common Factor
We found the factors 4424,3040 . The biggest common factor number is the GCF number.
So the greatest common factor 4424,3040 is 8.
Lets's calculate LCM of 517,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 420321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/420321
Therefore, the GCF of Fractions 4424/517,3040/813 is 8/420321
Least Common Multiple of 517,813 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 517,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,813) x common factors =1 x 1 = 1
LCM(517,813) = ( 517 × 813 ) / 1
LCM(517,813) = 420321 / 1
LCM(517,813) = 420321
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FAQs on GCF of Fractions of 4424/517, 3040/813
1. What is the HCF of 4424,3040?
The HCF of 4424,3040 is 8
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 4424/517, 3040/813?
Answer: GCF of Numerators as per given numbers 4424/517, 3040/813 is
GCF of Numerators i.e. for 4424,3040 is 8
LCM of denominators i.e. for 517,813 is 420321.
Thus, GCF of Fractions is 8/420321.Finally, GCF of Fractions for 4424/517, 3040/813 is 8/420321.