GCF of 5150/820, 5661/3474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5150/820, 5661/3474 i.e 1/1424340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5150/820, 5661/3474.
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 5150/820,5661/3474?
Given fractions are 5150/820,5661/3474
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 5150/820,5661/3474, numerators are 5150,5661
Denominators are 820,3474
The GCF of 5150,5661 is 1 .
LCM of 820,3474 is 1424340.
The greatest common factor of 5150/820,5661/3474 = [GCF of 5150,5661]/[LCM of 820,3474]= 1/1424340
Therefore, the GCF of 5150/820,5661/3474 is 1/1424340.
To find the highest common factor of 5150,5661, we have to find the factors of both numbers and list the highest common factor.
The factors of 5150 are 1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150
The factors of 5661 are 1, 3, 9, 17, 37, 51, 111, 153, 333, 629, 1887, 5661
The HCF of 5150,5661 is 1.
Lets's calculate GCF of 5150,5661
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5150,5661 By Matching Biggest Common Factor Method
Now, list down the factors of 5150
:1,2,5,10,25,50,103,206,515,1030,2575,5150
Now, list down the factors of 5661
:1,3,9,17,37,51,111,153,333,629,1887,5661
Greatest Common Factor
We found the factors 5150,5661 . The biggest common factor number is the GCF number.
So the greatest common factor 5150,5661 is 1.
Lets's calculate LCM of 820,3474
| 2 | 820, 3474 |
| 410, 1737 |
∴ So the LCM of the given numbers is 2 x 410 x 1737 = 1424340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1424340
Therefore, the GCF of Fractions 5150/820,5661/3474 is 1/1424340
Least Common Multiple of 820,3474 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 820,3474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,3474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(820,3474) x common factors =2 x 1 = 2
LCM(820,3474) = ( 820 × 3474 ) / 2
LCM(820,3474) = 2848680 / 2
LCM(820,3474) = 1424340
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FAQs on GCF of Fractions of 5150/820, 5661/3474
1. What is the HCF of 5150,5661?
The HCF of 5150,5661 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 5150/820, 5661/3474?
Answer: GCF of Numerators as per given numbers 5150/820, 5661/3474 is
GCF of Numerators i.e. for 5150,5661 is 1
LCM of denominators i.e. for 820,3474 is 1424340.
Thus, GCF of Fractions is 1/1424340.Finally, GCF of Fractions for 5150/820, 5661/3474 is 1/1424340.