GCF of 4737/704, 1779/417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4737/704, 1779/417 i.e 3/293568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4737/704, 1779/417.
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 4737/704,1779/417?
Given fractions are 4737/704,1779/417
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 4737/704,1779/417, numerators are 4737,1779
Denominators are 704,417
The GCF of 4737,1779 is 3 .
LCM of 704,417 is 293568.
The greatest common factor of 4737/704,1779/417 = [GCF of 4737,1779]/[LCM of 704,417]= 3/293568
Therefore, the GCF of 4737/704,1779/417 is 3/293568.
To find the highest common factor of 4737,1779, we have to find the factors of both numbers and list the highest common factor.
The factors of 4737 are 1, 3, 1579, 4737
The factors of 1779 are 1, 3, 593, 1779
The HCF of 4737,1779 is 3.
Lets's calculate GCF of 4737,1779
| 3 | 4737, 1779 |
| 1579, 593 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4737,1779 By Matching Biggest Common Factor Method
Now, list down the factors of 4737
:1,3,1579,4737
Now, list down the factors of 1779
:1,3,593,1779
Greatest Common Factor
We found the factors 4737,1779 . The biggest common factor number is the GCF number.
So the greatest common factor 4737,1779 is 3.
Lets's calculate LCM of 704,417
Given numbers has no common factors except 1. So, there LCM is their product i.e 293568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/293568
Therefore, the GCF of Fractions 4737/704,1779/417 is 3/293568
Least Common Multiple of 704,417 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 704,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,417) x common factors =1 x 1 = 1
LCM(704,417) = ( 704 × 417 ) / 1
LCM(704,417) = 293568 / 1
LCM(704,417) = 293568
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FAQs on GCF of Fractions of 4737/704, 1779/417
1. What is the HCF of 4737,1779?
The HCF of 4737,1779 is 3
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 4737/704, 1779/417?
Answer: GCF of Numerators as per given numbers 4737/704, 1779/417 is
GCF of Numerators i.e. for 4737,1779 is 3
LCM of denominators i.e. for 704,417 is 293568.
Thus, GCF of Fractions is 3/293568.Finally, GCF of Fractions for 4737/704, 1779/417 is 3/293568.