GCF of 6740/61, 9764/508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6740/61, 9764/508 i.e 4/30988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6740/61, 9764/508.
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 6740/61,9764/508?
Given fractions are 6740/61,9764/508
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 6740/61,9764/508, numerators are 6740,9764
Denominators are 61,508
The GCF of 6740,9764 is 4 .
LCM of 61,508 is 30988.
The greatest common factor of 6740/61,9764/508 = [GCF of 6740,9764]/[LCM of 61,508]= 4/30988
Therefore, the GCF of 6740/61,9764/508 is 4/30988.
To find the highest common factor of 6740,9764, we have to find the factors of both numbers and list the highest common factor.
The factors of 6740 are 1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370, 6740
The factors of 9764 are 1, 2, 4, 2441, 4882, 9764
The HCF of 6740,9764 is 4.
Lets's calculate GCF of 6740,9764
| 2 | 6740, 9764 |
| 2 | 3370, 4882 |
| 1685, 2441 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6740,9764 By Matching Biggest Common Factor Method
Now, list down the factors of 6740
:1,2,4,5,10,20,337,674,1348,1685,3370,6740
Now, list down the factors of 9764
:1,2,4,2441,4882,9764
Greatest Common Factor
We found the factors 6740,9764 . The biggest common factor number is the GCF number.
So the greatest common factor 6740,9764 is 4.
Lets's calculate LCM of 61,508
Given numbers has no common factors except 1. So, there LCM is their product i.e 30988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/30988
Therefore, the GCF of Fractions 6740/61,9764/508 is 4/30988
Least Common Multiple of 61,508 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 61,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,508) x common factors =1 x 1 = 1
LCM(61,508) = ( 61 × 508 ) / 1
LCM(61,508) = 30988 / 1
LCM(61,508) = 30988
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FAQs on GCF of Fractions of 6740/61, 9764/508
1. What is the HCF of 6740,9764?
The HCF of 6740,9764 is 4
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 6740/61, 9764/508?
Answer: GCF of Numerators as per given numbers 6740/61, 9764/508 is
GCF of Numerators i.e. for 6740,9764 is 4
LCM of denominators i.e. for 61,508 is 30988.
Thus, GCF of Fractions is 4/30988.Finally, GCF of Fractions for 6740/61, 9764/508 is 4/30988.