GCF of 4620/630, 3416/2908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4620/630, 3416/2908 i.e 28/916020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4620/630, 3416/2908.
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 4620/630,3416/2908?
Given fractions are 4620/630,3416/2908
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 4620/630,3416/2908, numerators are 4620,3416
Denominators are 630,2908
The GCF of 4620,3416 is 28 .
LCM of 630,2908 is 916020.
The greatest common factor of 4620/630,3416/2908 = [GCF of 4620,3416]/[LCM of 630,2908]= 28/916020
Therefore, the GCF of 4620/630,3416/2908 is 28/916020.
To find the highest common factor of 4620,3416, we have to find the factors of both numbers and list the highest common factor.
The factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620
The factors of 3416 are 1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416
The HCF of 4620,3416 is 28.
Lets's calculate GCF of 4620,3416
| 2 | 4620, 3416 |
| 2 | 2310, 1708 |
| 7 | 1155, 854 |
| 165, 122 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 4620,3416 By Matching Biggest Common Factor Method
Now, list down the factors of 4620
:1,2,3,4,5,6,7,10,11,12,14,15,20,21,22,28,30,33,35,42,44,55,60,66,70,77,84,105,110,132,140,154,165,210,220,231,308,330,385,420,462,660,770,924,1155,1540,2310,4620
Now, list down the factors of 3416
:1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416
Greatest Common Factor
We found the factors 4620,3416 . The biggest common factor number is the GCF number.
So the greatest common factor 4620,3416 is 28.
Lets's calculate LCM of 630,2908
| 2 | 630, 2908 |
| 315, 1454 |
∴ So the LCM of the given numbers is 2 x 315 x 1454 = 916020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/916020
Therefore, the GCF of Fractions 4620/630,3416/2908 is 28/916020
Least Common Multiple of 630,2908 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 630,2908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,2908) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(630,2908) x common factors =2 x 1 = 2
LCM(630,2908) = ( 630 × 2908 ) / 2
LCM(630,2908) = 1832040 / 2
LCM(630,2908) = 916020
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FAQs on GCF of Fractions of 4620/630, 3416/2908
1. What is the HCF of 4620,3416?
The HCF of 4620,3416 is 28
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 4620/630, 3416/2908?
Answer: GCF of Numerators as per given numbers 4620/630, 3416/2908 is
GCF of Numerators i.e. for 4620,3416 is 28
LCM of denominators i.e. for 630,2908 is 916020.
Thus, GCF of Fractions is 28/916020.Finally, GCF of Fractions for 4620/630, 3416/2908 is 28/916020.