GCF of 5717/980, 5852/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5717/980, 5852/286 i.e 1/140140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5717/980, 5852/286.
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 5717/980,5852/286?
Given fractions are 5717/980,5852/286
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 5717/980,5852/286, numerators are 5717,5852
Denominators are 980,286
The GCF of 5717,5852 is 1 .
LCM of 980,286 is 140140.
The greatest common factor of 5717/980,5852/286 = [GCF of 5717,5852]/[LCM of 980,286]= 1/140140
Therefore, the GCF of 5717/980,5852/286 is 1/140140.
To find the highest common factor of 5717,5852, we have to find the factors of both numbers and list the highest common factor.
The factors of 5717 are 1, 5717
The factors of 5852 are 1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852
The HCF of 5717,5852 is 1.
Lets's calculate GCF of 5717,5852
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5717,5852 By Matching Biggest Common Factor Method
Now, list down the factors of 5717
:1,5717
Now, list down the factors of 5852
:1,2,4,7,11,14,19,22,28,38,44,76,77,133,154,209,266,308,418,532,836,1463,2926,5852
Greatest Common Factor
We found the factors 5717,5852 . The biggest common factor number is the GCF number.
So the greatest common factor 5717,5852 is 1.
Lets's calculate LCM of 980,286
| 2 | 980, 286 |
| 490, 143 |
∴ So the LCM of the given numbers is 2 x 490 x 143 = 140140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140140
Therefore, the GCF of Fractions 5717/980,5852/286 is 1/140140
Least Common Multiple of 980,286 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 980,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(980,286) x common factors =2 x 1 = 2
LCM(980,286) = ( 980 × 286 ) / 2
LCM(980,286) = 280280 / 2
LCM(980,286) = 140140
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FAQs on GCF of Fractions of 5717/980, 5852/286
1. What is the HCF of 5717,5852?
The HCF of 5717,5852 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 5717/980, 5852/286?
Answer: GCF of Numerators as per given numbers 5717/980, 5852/286 is
GCF of Numerators i.e. for 5717,5852 is 1
LCM of denominators i.e. for 980,286 is 140140.
Thus, GCF of Fractions is 1/140140.Finally, GCF of Fractions for 5717/980, 5852/286 is 1/140140.