GCF of 5707/176, 5274/5533
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5707/176, 5274/5533 i.e 1/88528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5707/176, 5274/5533.
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 5707/176,5274/5533?
Given fractions are 5707/176,5274/5533
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 5707/176,5274/5533, numerators are 5707,5274
Denominators are 176,5533
The GCF of 5707,5274 is 1 .
LCM of 176,5533 is 88528.
The greatest common factor of 5707/176,5274/5533 = [GCF of 5707,5274]/[LCM of 176,5533]= 1/88528
Therefore, the GCF of 5707/176,5274/5533 is 1/88528.
To find the highest common factor of 5707,5274, we have to find the factors of both numbers and list the highest common factor.
The factors of 5707 are 1, 13, 439, 5707
The factors of 5274 are 1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274
The HCF of 5707,5274 is 1.
Lets's calculate GCF of 5707,5274
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5707,5274 By Matching Biggest Common Factor Method
Now, list down the factors of 5707
:1,13,439,5707
Now, list down the factors of 5274
:1,2,3,6,9,18,293,586,879,1758,2637,5274
Greatest Common Factor
We found the factors 5707,5274 . The biggest common factor number is the GCF number.
So the greatest common factor 5707,5274 is 1.
Lets's calculate LCM of 176,5533
| 11 | 176, 5533 |
| 16, 503 |
∴ So the LCM of the given numbers is 11 x 16 x 503 = 88528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88528
Therefore, the GCF of Fractions 5707/176,5274/5533 is 1/88528
Least Common Multiple of 176,5533 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 176,5533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,5533) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(176,5533) x common factors =11 x 1 = 11
LCM(176,5533) = ( 176 × 5533 ) / 11
LCM(176,5533) = 973808 / 11
LCM(176,5533) = 88528
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FAQs on GCF of Fractions of 5707/176, 5274/5533
1. What is the HCF of 5707,5274?
The HCF of 5707,5274 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 5707/176, 5274/5533?
Answer: GCF of Numerators as per given numbers 5707/176, 5274/5533 is
GCF of Numerators i.e. for 5707,5274 is 1
LCM of denominators i.e. for 176,5533 is 88528.
Thus, GCF of Fractions is 1/88528.Finally, GCF of Fractions for 5707/176, 5274/5533 is 1/88528.