GCF of 8122/722, 4328/3250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8122/722, 4328/3250 i.e 2/1173250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8122/722, 4328/3250.
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 8122/722,4328/3250?
Given fractions are 8122/722,4328/3250
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 8122/722,4328/3250, numerators are 8122,4328
Denominators are 722,3250
The GCF of 8122,4328 is 2 .
LCM of 722,3250 is 1173250.
The greatest common factor of 8122/722,4328/3250 = [GCF of 8122,4328]/[LCM of 722,3250]= 2/1173250
Therefore, the GCF of 8122/722,4328/3250 is 2/1173250.
To find the highest common factor of 8122,4328, we have to find the factors of both numbers and list the highest common factor.
The factors of 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122
The factors of 4328 are 1, 2, 4, 8, 541, 1082, 2164, 4328
The HCF of 8122,4328 is 2.
Lets's calculate GCF of 8122,4328
| 2 | 8122, 4328 |
| 4061, 2164 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8122,4328 By Matching Biggest Common Factor Method
Now, list down the factors of 8122
:1,2,31,62,131,262,4061,8122
Now, list down the factors of 4328
:1,2,4,8,541,1082,2164,4328
Greatest Common Factor
We found the factors 8122,4328 . The biggest common factor number is the GCF number.
So the greatest common factor 8122,4328 is 2.
Lets's calculate LCM of 722,3250
| 2 | 722, 3250 |
| 361, 1625 |
∴ So the LCM of the given numbers is 2 x 361 x 1625 = 1173250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1173250
Therefore, the GCF of Fractions 8122/722,4328/3250 is 2/1173250
Least Common Multiple of 722,3250 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 722,3250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,3250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,3250) x common factors =2 x 1 = 2
LCM(722,3250) = ( 722 × 3250 ) / 2
LCM(722,3250) = 2346500 / 2
LCM(722,3250) = 1173250
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FAQs on GCF of Fractions of 8122/722, 4328/3250
1. What is the HCF of 8122,4328?
The HCF of 8122,4328 is 2
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 8122/722, 4328/3250?
Answer: GCF of Numerators as per given numbers 8122/722, 4328/3250 is
GCF of Numerators i.e. for 8122,4328 is 2
LCM of denominators i.e. for 722,3250 is 1173250.
Thus, GCF of Fractions is 2/1173250.Finally, GCF of Fractions for 8122/722, 4328/3250 is 2/1173250.