GCF of 3224/722, 7742/2650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3224/722, 7742/2650 i.e 2/956650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3224/722, 7742/2650.
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 3224/722,7742/2650?
Given fractions are 3224/722,7742/2650
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 3224/722,7742/2650, numerators are 3224,7742
Denominators are 722,2650
The GCF of 3224,7742 is 2 .
LCM of 722,2650 is 956650.
The greatest common factor of 3224/722,7742/2650 = [GCF of 3224,7742]/[LCM of 722,2650]= 2/956650
Therefore, the GCF of 3224/722,7742/2650 is 2/956650.
To find the highest common factor of 3224,7742, we have to find the factors of both numbers and list the highest common factor.
The factors of 3224 are 1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224
The factors of 7742 are 1, 2, 7, 14, 49, 79, 98, 158, 553, 1106, 3871, 7742
The HCF of 3224,7742 is 2.
Lets's calculate GCF of 3224,7742
| 2 | 3224, 7742 |
| 1612, 3871 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3224,7742 By Matching Biggest Common Factor Method
Now, list down the factors of 3224
:1,2,4,8,13,26,31,52,62,104,124,248,403,806,1612,3224
Now, list down the factors of 7742
:1,2,7,14,49,79,98,158,553,1106,3871,7742
Greatest Common Factor
We found the factors 3224,7742 . The biggest common factor number is the GCF number.
So the greatest common factor 3224,7742 is 2.
Lets's calculate LCM of 722,2650
| 2 | 722, 2650 |
| 361, 1325 |
∴ So the LCM of the given numbers is 2 x 361 x 1325 = 956650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/956650
Therefore, the GCF of Fractions 3224/722,7742/2650 is 2/956650
Least Common Multiple of 722,2650 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 722,2650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,2650) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,2650) x common factors =2 x 1 = 2
LCM(722,2650) = ( 722 × 2650 ) / 2
LCM(722,2650) = 1913300 / 2
LCM(722,2650) = 956650
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FAQs on GCF of Fractions of 3224/722, 7742/2650
1. What is the HCF of 3224,7742?
The HCF of 3224,7742 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 3224/722, 7742/2650?
Answer: GCF of Numerators as per given numbers 3224/722, 7742/2650 is
GCF of Numerators i.e. for 3224,7742 is 2
LCM of denominators i.e. for 722,2650 is 956650.
Thus, GCF of Fractions is 2/956650.Finally, GCF of Fractions for 3224/722, 7742/2650 is 2/956650.