GCF of 8292/763, 4872/1777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8292/763, 4872/1777 i.e 12/1355851 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8292/763, 4872/1777.
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 8292/763,4872/1777?
Given fractions are 8292/763,4872/1777
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 8292/763,4872/1777, numerators are 8292,4872
Denominators are 763,1777
The GCF of 8292,4872 is 12 .
LCM of 763,1777 is 1355851.
The greatest common factor of 8292/763,4872/1777 = [GCF of 8292,4872]/[LCM of 763,1777]= 12/1355851
Therefore, the GCF of 8292/763,4872/1777 is 12/1355851.
To find the highest common factor of 8292,4872, we have to find the factors of both numbers and list the highest common factor.
The factors of 8292 are 1, 2, 3, 4, 6, 12, 691, 1382, 2073, 2764, 4146, 8292
The factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872
The HCF of 8292,4872 is 12.
Lets's calculate GCF of 8292,4872
| 2 | 8292, 4872 |
| 2 | 4146, 2436 |
| 3 | 2073, 1218 |
| 691, 406 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8292,4872 By Matching Biggest Common Factor Method
Now, list down the factors of 8292
:1,2,3,4,6,12,691,1382,2073,2764,4146,8292
Now, list down the factors of 4872
:1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872
Greatest Common Factor
We found the factors 8292,4872 . The biggest common factor number is the GCF number.
So the greatest common factor 8292,4872 is 12.
Lets's calculate LCM of 763,1777
Given numbers has no common factors except 1. So, there LCM is their product i.e 1355851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1355851
Therefore, the GCF of Fractions 8292/763,4872/1777 is 12/1355851
Least Common Multiple of 763,1777 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 763,1777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,1777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,1777) x common factors =1 x 1 = 1
LCM(763,1777) = ( 763 × 1777 ) / 1
LCM(763,1777) = 1355851 / 1
LCM(763,1777) = 1355851
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FAQs on GCF of Fractions of 8292/763, 4872/1777
1. What is the HCF of 8292,4872?
The HCF of 8292,4872 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 8292/763, 4872/1777?
Answer: GCF of Numerators as per given numbers 8292/763, 4872/1777 is
GCF of Numerators i.e. for 8292,4872 is 12
LCM of denominators i.e. for 763,1777 is 1355851.
Thus, GCF of Fractions is 12/1355851.Finally, GCF of Fractions for 8292/763, 4872/1777 is 12/1355851.