GCF of 7282/794, 2200/8507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7282/794, 2200/8507 i.e 22/6754558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7282/794, 2200/8507.
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 7282/794,2200/8507?
Given fractions are 7282/794,2200/8507
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 7282/794,2200/8507, numerators are 7282,2200
Denominators are 794,8507
The GCF of 7282,2200 is 22 .
LCM of 794,8507 is 6754558.
The greatest common factor of 7282/794,2200/8507 = [GCF of 7282,2200]/[LCM of 794,8507]= 22/6754558
Therefore, the GCF of 7282/794,2200/8507 is 22/6754558.
To find the highest common factor of 7282,2200, we have to find the factors of both numbers and list the highest common factor.
The factors of 7282 are 1, 2, 11, 22, 331, 662, 3641, 7282
The factors of 2200 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200
The HCF of 7282,2200 is 22.
Lets's calculate GCF of 7282,2200
| 2 | 7282, 2200 |
| 11 | 3641, 1100 |
| 331, 100 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 7282,2200 By Matching Biggest Common Factor Method
Now, list down the factors of 7282
:1,2,11,22,331,662,3641,7282
Now, list down the factors of 2200
:1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200
Greatest Common Factor
We found the factors 7282,2200 . The biggest common factor number is the GCF number.
So the greatest common factor 7282,2200 is 22.
Lets's calculate LCM of 794,8507
Given numbers has no common factors except 1. So, there LCM is their product i.e 6754558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/6754558
Therefore, the GCF of Fractions 7282/794,2200/8507 is 22/6754558
Least Common Multiple of 794,8507 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 794,8507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,8507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(794,8507) x common factors =1 x 1 = 1
LCM(794,8507) = ( 794 × 8507 ) / 1
LCM(794,8507) = 6754558 / 1
LCM(794,8507) = 6754558
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FAQs on GCF of Fractions of 7282/794, 2200/8507
1. What is the HCF of 7282,2200?
The HCF of 7282,2200 is 22
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 7282/794, 2200/8507?
Answer: GCF of Numerators as per given numbers 7282/794, 2200/8507 is
GCF of Numerators i.e. for 7282,2200 is 22
LCM of denominators i.e. for 794,8507 is 6754558.
Thus, GCF of Fractions is 22/6754558.Finally, GCF of Fractions for 7282/794, 2200/8507 is 22/6754558.