GCF of 6700/563, 8525/168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6700/563, 8525/168 i.e 25/94584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6700/563, 8525/168.
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 6700/563,8525/168?
Given fractions are 6700/563,8525/168
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 6700/563,8525/168, numerators are 6700,8525
Denominators are 563,168
The GCF of 6700,8525 is 25 .
LCM of 563,168 is 94584.
The greatest common factor of 6700/563,8525/168 = [GCF of 6700,8525]/[LCM of 563,168]= 25/94584
Therefore, the GCF of 6700/563,8525/168 is 25/94584.
To find the highest common factor of 6700,8525, we have to find the factors of both numbers and list the highest common factor.
The factors of 6700 are 1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 134, 268, 335, 670, 1340, 1675, 3350, 6700
The factors of 8525 are 1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525
The HCF of 6700,8525 is 25.
Lets's calculate GCF of 6700,8525
| 5 | 6700, 8525 |
| 5 | 1340, 1705 |
| 268, 341 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 6700,8525 By Matching Biggest Common Factor Method
Now, list down the factors of 6700
:1,2,4,5,10,20,25,50,67,100,134,268,335,670,1340,1675,3350,6700
Now, list down the factors of 8525
:1,5,11,25,31,55,155,275,341,775,1705,8525
Greatest Common Factor
We found the factors 6700,8525 . The biggest common factor number is the GCF number.
So the greatest common factor 6700,8525 is 25.
Lets's calculate LCM of 563,168
Given numbers has no common factors except 1. So, there LCM is their product i.e 94584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/94584
Therefore, the GCF of Fractions 6700/563,8525/168 is 25/94584
Least Common Multiple of 563,168 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 563,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,168) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,168) x common factors =1 x 1 = 1
LCM(563,168) = ( 563 × 168 ) / 1
LCM(563,168) = 94584 / 1
LCM(563,168) = 94584
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FAQs on GCF of Fractions of 6700/563, 8525/168
1. What is the HCF of 6700,8525?
The HCF of 6700,8525 is 25
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 6700/563, 8525/168?
Answer: GCF of Numerators as per given numbers 6700/563, 8525/168 is
GCF of Numerators i.e. for 6700,8525 is 25
LCM of denominators i.e. for 563,168 is 94584.
Thus, GCF of Fractions is 25/94584.Finally, GCF of Fractions for 6700/563, 8525/168 is 25/94584.