GCF of 8076/251, 4620/1747
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8076/251, 4620/1747 i.e 12/438497 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8076/251, 4620/1747.
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 8076/251,4620/1747?
Given fractions are 8076/251,4620/1747
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 8076/251,4620/1747, numerators are 8076,4620
Denominators are 251,1747
The GCF of 8076,4620 is 12 .
LCM of 251,1747 is 438497.
The greatest common factor of 8076/251,4620/1747 = [GCF of 8076,4620]/[LCM of 251,1747]= 12/438497
Therefore, the GCF of 8076/251,4620/1747 is 12/438497.
To find the highest common factor of 8076,4620, we have to find the factors of both numbers and list the highest common factor.
The factors of 8076 are 1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076
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 HCF of 8076,4620 is 12.
Lets's calculate GCF of 8076,4620
| 2 | 8076, 4620 |
| 2 | 4038, 2310 |
| 3 | 2019, 1155 |
| 673, 385 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8076,4620 By Matching Biggest Common Factor Method
Now, list down the factors of 8076
:1,2,3,4,6,12,673,1346,2019,2692,4038,8076
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
Greatest Common Factor
We found the factors 8076,4620 . The biggest common factor number is the GCF number.
So the greatest common factor 8076,4620 is 12.
Lets's calculate LCM of 251,1747
Given numbers has no common factors except 1. So, there LCM is their product i.e 438497
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/438497
Therefore, the GCF of Fractions 8076/251,4620/1747 is 12/438497
Least Common Multiple of 251,1747 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 251,1747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,1747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,1747) x common factors =1 x 1 = 1
LCM(251,1747) = ( 251 × 1747 ) / 1
LCM(251,1747) = 438497 / 1
LCM(251,1747) = 438497
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FAQs on GCF of Fractions of 8076/251, 4620/1747
1. What is the HCF of 8076,4620?
The HCF of 8076,4620 is 12
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 8076/251, 4620/1747?
Answer: GCF of Numerators as per given numbers 8076/251, 4620/1747 is
GCF of Numerators i.e. for 8076,4620 is 12
LCM of denominators i.e. for 251,1747 is 438497.
Thus, GCF of Fractions is 12/438497.Finally, GCF of Fractions for 8076/251, 4620/1747 is 12/438497.