GCF of 7622/220, 5705/984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7622/220, 5705/984 i.e 1/54120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7622/220, 5705/984.
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 7622/220,5705/984?
Given fractions are 7622/220,5705/984
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 7622/220,5705/984, numerators are 7622,5705
Denominators are 220,984
The GCF of 7622,5705 is 1 .
LCM of 220,984 is 54120.
The greatest common factor of 7622/220,5705/984 = [GCF of 7622,5705]/[LCM of 220,984]= 1/54120
Therefore, the GCF of 7622/220,5705/984 is 1/54120.
To find the highest common factor of 7622,5705, we have to find the factors of both numbers and list the highest common factor.
The factors of 7622 are 1, 2, 37, 74, 103, 206, 3811, 7622
The factors of 5705 are 1, 5, 7, 35, 163, 815, 1141, 5705
The HCF of 7622,5705 is 1.
Lets's calculate GCF of 7622,5705
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7622,5705 By Matching Biggest Common Factor Method
Now, list down the factors of 7622
:1,2,37,74,103,206,3811,7622
Now, list down the factors of 5705
:1,5,7,35,163,815,1141,5705
Greatest Common Factor
We found the factors 7622,5705 . The biggest common factor number is the GCF number.
So the greatest common factor 7622,5705 is 1.
Lets's calculate LCM of 220,984
| 2 | 220, 984 |
| 2 | 110, 492 |
| 55, 246 |
∴ So the LCM of the given numbers is 2 x 2 x 55 x 246 = 54120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54120
Therefore, the GCF of Fractions 7622/220,5705/984 is 1/54120
Least Common Multiple of 220,984 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 220,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,984) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(220,984) x common factors =4 x 1 = 4
LCM(220,984) = ( 220 × 984 ) / 4
LCM(220,984) = 216480 / 4
LCM(220,984) = 54120
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FAQs on GCF of Fractions of 7622/220, 5705/984
1. What is the HCF of 7622,5705?
The HCF of 7622,5705 is 1
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 7622/220, 5705/984?
Answer: GCF of Numerators as per given numbers 7622/220, 5705/984 is
GCF of Numerators i.e. for 7622,5705 is 1
LCM of denominators i.e. for 220,984 is 54120.
Thus, GCF of Fractions is 1/54120.Finally, GCF of Fractions for 7622/220, 5705/984 is 1/54120.