GCF of 1643/781, 8773/9724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1643/781, 8773/9724 i.e 31/690404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1643/781, 8773/9724.
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 1643/781,8773/9724?
Given fractions are 1643/781,8773/9724
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 1643/781,8773/9724, numerators are 1643,8773
Denominators are 781,9724
The GCF of 1643,8773 is 31 .
LCM of 781,9724 is 690404.
The greatest common factor of 1643/781,8773/9724 = [GCF of 1643,8773]/[LCM of 781,9724]= 31/690404
Therefore, the GCF of 1643/781,8773/9724 is 31/690404.
To find the highest common factor of 1643,8773, we have to find the factors of both numbers and list the highest common factor.
The factors of 1643 are 1, 31, 53, 1643
The factors of 8773 are 1, 31, 283, 8773
The HCF of 1643,8773 is 31.
Lets's calculate GCF of 1643,8773
| 31 | 1643, 8773 |
| 53, 283 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 1643,8773 By Matching Biggest Common Factor Method
Now, list down the factors of 1643
:1,31,53,1643
Now, list down the factors of 8773
:1,31,283,8773
Greatest Common Factor
We found the factors 1643,8773 . The biggest common factor number is the GCF number.
So the greatest common factor 1643,8773 is 31.
Lets's calculate LCM of 781,9724
| 11 | 781, 9724 |
| 71, 884 |
∴ So the LCM of the given numbers is 11 x 71 x 884 = 690404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/690404
Therefore, the GCF of Fractions 1643/781,8773/9724 is 31/690404
Least Common Multiple of 781,9724 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 781,9724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,9724) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(781,9724) x common factors =11 x 1 = 11
LCM(781,9724) = ( 781 × 9724 ) / 11
LCM(781,9724) = 7594444 / 11
LCM(781,9724) = 690404
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FAQs on GCF of Fractions of 1643/781, 8773/9724
1. What is the HCF of 1643,8773?
The HCF of 1643,8773 is 31
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 1643/781, 8773/9724?
Answer: GCF of Numerators as per given numbers 1643/781, 8773/9724 is
GCF of Numerators i.e. for 1643,8773 is 31
LCM of denominators i.e. for 781,9724 is 690404.
Thus, GCF of Fractions is 31/690404.Finally, GCF of Fractions for 1643/781, 8773/9724 is 31/690404.