GCF of 4735/176, 5900/6391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4735/176, 5900/6391 i.e 5/102256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4735/176, 5900/6391.
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 4735/176,5900/6391?
Given fractions are 4735/176,5900/6391
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 4735/176,5900/6391, numerators are 4735,5900
Denominators are 176,6391
The GCF of 4735,5900 is 5 .
LCM of 176,6391 is 102256.
The greatest common factor of 4735/176,5900/6391 = [GCF of 4735,5900]/[LCM of 176,6391]= 5/102256
Therefore, the GCF of 4735/176,5900/6391 is 5/102256.
To find the highest common factor of 4735,5900, we have to find the factors of both numbers and list the highest common factor.
The factors of 4735 are 1, 5, 947, 4735
The factors of 5900 are 1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900
The HCF of 4735,5900 is 5.
Lets's calculate GCF of 4735,5900
| 5 | 4735, 5900 |
| 947, 1180 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4735,5900 By Matching Biggest Common Factor Method
Now, list down the factors of 4735
:1,5,947,4735
Now, list down the factors of 5900
:1,2,4,5,10,20,25,50,59,100,118,236,295,590,1180,1475,2950,5900
Greatest Common Factor
We found the factors 4735,5900 . The biggest common factor number is the GCF number.
So the greatest common factor 4735,5900 is 5.
Lets's calculate LCM of 176,6391
| 11 | 176, 6391 |
| 16, 581 |
∴ So the LCM of the given numbers is 11 x 16 x 581 = 102256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/102256
Therefore, the GCF of Fractions 4735/176,5900/6391 is 5/102256
Least Common Multiple of 176,6391 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 176,6391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,6391) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(176,6391) x common factors =11 x 1 = 11
LCM(176,6391) = ( 176 × 6391 ) / 11
LCM(176,6391) = 1124816 / 11
LCM(176,6391) = 102256
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FAQs on GCF of Fractions of 4735/176, 5900/6391
1. What is the HCF of 4735,5900?
The HCF of 4735,5900 is 5
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 4735/176, 5900/6391?
Answer: GCF of Numerators as per given numbers 4735/176, 5900/6391 is
GCF of Numerators i.e. for 4735,5900 is 5
LCM of denominators i.e. for 176,6391 is 102256.
Thus, GCF of Fractions is 5/102256.Finally, GCF of Fractions for 4735/176, 5900/6391 is 5/102256.