GCF of 7600/353, 7064/5236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7600/353, 7064/5236 i.e 8/1848308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7600/353, 7064/5236.
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 7600/353,7064/5236?
Given fractions are 7600/353,7064/5236
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 7600/353,7064/5236, numerators are 7600,7064
Denominators are 353,5236
The GCF of 7600,7064 is 8 .
LCM of 353,5236 is 1848308.
The greatest common factor of 7600/353,7064/5236 = [GCF of 7600,7064]/[LCM of 353,5236]= 8/1848308
Therefore, the GCF of 7600/353,7064/5236 is 8/1848308.
To find the highest common factor of 7600,7064, we have to find the factors of both numbers and list the highest common factor.
The factors of 7600 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600
The factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064
The HCF of 7600,7064 is 8.
Lets's calculate GCF of 7600,7064
| 2 | 7600, 7064 |
| 2 | 3800, 3532 |
| 2 | 1900, 1766 |
| 950, 883 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7600,7064 By Matching Biggest Common Factor Method
Now, list down the factors of 7600
:1,2,4,5,8,10,16,19,20,25,38,40,50,76,80,95,100,152,190,200,304,380,400,475,760,950,1520,1900,3800,7600
Now, list down the factors of 7064
:1,2,4,8,883,1766,3532,7064
Greatest Common Factor
We found the factors 7600,7064 . The biggest common factor number is the GCF number.
So the greatest common factor 7600,7064 is 8.
Lets's calculate LCM of 353,5236
Given numbers has no common factors except 1. So, there LCM is their product i.e 1848308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1848308
Therefore, the GCF of Fractions 7600/353,7064/5236 is 8/1848308
Least Common Multiple of 353,5236 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 353,5236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,5236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,5236) x common factors =1 x 1 = 1
LCM(353,5236) = ( 353 × 5236 ) / 1
LCM(353,5236) = 1848308 / 1
LCM(353,5236) = 1848308
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FAQs on GCF of Fractions of 7600/353, 7064/5236
1. What is the HCF of 7600,7064?
The HCF of 7600,7064 is 8
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 7600/353, 7064/5236?
Answer: GCF of Numerators as per given numbers 7600/353, 7064/5236 is
GCF of Numerators i.e. for 7600,7064 is 8
LCM of denominators i.e. for 353,5236 is 1848308.
Thus, GCF of Fractions is 8/1848308.Finally, GCF of Fractions for 7600/353, 7064/5236 is 8/1848308.