GCF of 1342/873, 6540/9808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1342/873, 6540/9808 i.e 2/8562384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1342/873, 6540/9808.
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 1342/873,6540/9808?
Given fractions are 1342/873,6540/9808
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 1342/873,6540/9808, numerators are 1342,6540
Denominators are 873,9808
The GCF of 1342,6540 is 2 .
LCM of 873,9808 is 8562384.
The greatest common factor of 1342/873,6540/9808 = [GCF of 1342,6540]/[LCM of 873,9808]= 2/8562384
Therefore, the GCF of 1342/873,6540/9808 is 2/8562384.
To find the highest common factor of 1342,6540, we have to find the factors of both numbers and list the highest common factor.
The factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342
The factors of 6540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270, 6540
The HCF of 1342,6540 is 2.
Lets's calculate GCF of 1342,6540
| 2 | 1342, 6540 |
| 671, 3270 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1342,6540 By Matching Biggest Common Factor Method
Now, list down the factors of 1342
:1,2,11,22,61,122,671,1342
Now, list down the factors of 6540
:1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540
Greatest Common Factor
We found the factors 1342,6540 . The biggest common factor number is the GCF number.
So the greatest common factor 1342,6540 is 2.
Lets's calculate LCM of 873,9808
Given numbers has no common factors except 1. So, there LCM is their product i.e 8562384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8562384
Therefore, the GCF of Fractions 1342/873,6540/9808 is 2/8562384
Least Common Multiple of 873,9808 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 873,9808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,9808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,9808) x common factors =1 x 1 = 1
LCM(873,9808) = ( 873 × 9808 ) / 1
LCM(873,9808) = 8562384 / 1
LCM(873,9808) = 8562384
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FAQs on GCF of Fractions of 1342/873, 6540/9808
1. What is the HCF of 1342,6540?
The HCF of 1342,6540 is 2
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 1342/873, 6540/9808?
Answer: GCF of Numerators as per given numbers 1342/873, 6540/9808 is
GCF of Numerators i.e. for 1342,6540 is 2
LCM of denominators i.e. for 873,9808 is 8562384.
Thus, GCF of Fractions is 2/8562384.Finally, GCF of Fractions for 1342/873, 6540/9808 is 2/8562384.