GCF of 6687/53, 1569/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6687/53, 1569/724 i.e 3/38372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6687/53, 1569/724.
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 6687/53,1569/724?
Given fractions are 6687/53,1569/724
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 6687/53,1569/724, numerators are 6687,1569
Denominators are 53,724
The GCF of 6687,1569 is 3 .
LCM of 53,724 is 38372.
The greatest common factor of 6687/53,1569/724 = [GCF of 6687,1569]/[LCM of 53,724]= 3/38372
Therefore, the GCF of 6687/53,1569/724 is 3/38372.
To find the highest common factor of 6687,1569, we have to find the factors of both numbers and list the highest common factor.
The factors of 6687 are 1, 3, 9, 743, 2229, 6687
The factors of 1569 are 1, 3, 523, 1569
The HCF of 6687,1569 is 3.
Lets's calculate GCF of 6687,1569
| 3 | 6687, 1569 |
| 2229, 523 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6687,1569 By Matching Biggest Common Factor Method
Now, list down the factors of 6687
:1,3,9,743,2229,6687
Now, list down the factors of 1569
:1,3,523,1569
Greatest Common Factor
We found the factors 6687,1569 . The biggest common factor number is the GCF number.
So the greatest common factor 6687,1569 is 3.
Lets's calculate LCM of 53,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 38372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38372
Therefore, the GCF of Fractions 6687/53,1569/724 is 3/38372
Least Common Multiple of 53,724 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 53,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,724) x common factors =1 x 1 = 1
LCM(53,724) = ( 53 × 724 ) / 1
LCM(53,724) = 38372 / 1
LCM(53,724) = 38372
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FAQs on GCF of Fractions of 6687/53, 1569/724
1. What is the HCF of 6687,1569?
The HCF of 6687,1569 is 3
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 6687/53, 1569/724?
Answer: GCF of Numerators as per given numbers 6687/53, 1569/724 is
GCF of Numerators i.e. for 6687,1569 is 3
LCM of denominators i.e. for 53,724 is 38372.
Thus, GCF of Fractions is 3/38372.Finally, GCF of Fractions for 6687/53, 1569/724 is 3/38372.