GCF of 1813/811, 8232/632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1813/811, 8232/632 i.e 49/512552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1813/811, 8232/632.
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 1813/811,8232/632?
Given fractions are 1813/811,8232/632
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 1813/811,8232/632, numerators are 1813,8232
Denominators are 811,632
The GCF of 1813,8232 is 49 .
LCM of 811,632 is 512552.
The greatest common factor of 1813/811,8232/632 = [GCF of 1813,8232]/[LCM of 811,632]= 49/512552
Therefore, the GCF of 1813/811,8232/632 is 49/512552.
To find the highest common factor of 1813,8232, we have to find the factors of both numbers and list the highest common factor.
The factors of 1813 are 1, 7, 37, 49, 259, 1813
The factors of 8232 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232
The HCF of 1813,8232 is 49.
Lets's calculate GCF of 1813,8232
| 7 | 1813, 8232 |
| 7 | 259, 1176 |
| 37, 168 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 1813,8232 By Matching Biggest Common Factor Method
Now, list down the factors of 1813
:1,7,37,49,259,1813
Now, list down the factors of 8232
:1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232
Greatest Common Factor
We found the factors 1813,8232 . The biggest common factor number is the GCF number.
So the greatest common factor 1813,8232 is 49.
Lets's calculate LCM of 811,632
Given numbers has no common factors except 1. So, there LCM is their product i.e 512552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/512552
Therefore, the GCF of Fractions 1813/811,8232/632 is 49/512552
Least Common Multiple of 811,632 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 811,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,632) x common factors =1 x 1 = 1
LCM(811,632) = ( 811 × 632 ) / 1
LCM(811,632) = 512552 / 1
LCM(811,632) = 512552
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FAQs on GCF of Fractions of 1813/811, 8232/632
1. What is the HCF of 1813,8232?
The HCF of 1813,8232 is 49
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 1813/811, 8232/632?
Answer: GCF of Numerators as per given numbers 1813/811, 8232/632 is
GCF of Numerators i.e. for 1813,8232 is 49
LCM of denominators i.e. for 811,632 is 512552.
Thus, GCF of Fractions is 49/512552.Finally, GCF of Fractions for 1813/811, 8232/632 is 49/512552.