GCF of 4737/977, 1680/2839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4737/977, 1680/2839 i.e 3/2773703 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4737/977, 1680/2839.
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 4737/977,1680/2839?
Given fractions are 4737/977,1680/2839
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 4737/977,1680/2839, numerators are 4737,1680
Denominators are 977,2839
The GCF of 4737,1680 is 3 .
LCM of 977,2839 is 2773703.
The greatest common factor of 4737/977,1680/2839 = [GCF of 4737,1680]/[LCM of 977,2839]= 3/2773703
Therefore, the GCF of 4737/977,1680/2839 is 3/2773703.
To find the highest common factor of 4737,1680, 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 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680
The HCF of 4737,1680 is 3.
Lets's calculate GCF of 4737,1680
| 3 | 4737, 1680 |
| 1579, 560 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4737,1680 By Matching Biggest Common Factor Method
Now, list down the factors of 4737
:1,3,1579,4737
Now, list down the factors of 1680
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,35,40,42,48,56,60,70,80,84,105,112,120,140,168,210,240,280,336,420,560,840,1680
Greatest Common Factor
We found the factors 4737,1680 . The biggest common factor number is the GCF number.
So the greatest common factor 4737,1680 is 3.
Lets's calculate LCM of 977,2839
Given numbers has no common factors except 1. So, there LCM is their product i.e 2773703
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2773703
Therefore, the GCF of Fractions 4737/977,1680/2839 is 3/2773703
Least Common Multiple of 977,2839 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 977,2839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,2839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,2839) x common factors =1 x 1 = 1
LCM(977,2839) = ( 977 × 2839 ) / 1
LCM(977,2839) = 2773703 / 1
LCM(977,2839) = 2773703
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4737/977, 1680/2839
1. What is the HCF of 4737,1680?
The HCF of 4737,1680 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 4737/977, 1680/2839?
Answer: GCF of Numerators as per given numbers 4737/977, 1680/2839 is
GCF of Numerators i.e. for 4737,1680 is 3
LCM of denominators i.e. for 977,2839 is 2773703.
Thus, GCF of Fractions is 3/2773703.Finally, GCF of Fractions for 4737/977, 1680/2839 is 3/2773703.