GCF of 4386/624, 9781/7737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4386/624, 9781/7737 i.e 1/1609296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4386/624, 9781/7737.
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 4386/624,9781/7737?
Given fractions are 4386/624,9781/7737
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 4386/624,9781/7737, numerators are 4386,9781
Denominators are 624,7737
The GCF of 4386,9781 is 1 .
LCM of 624,7737 is 1609296.
The greatest common factor of 4386/624,9781/7737 = [GCF of 4386,9781]/[LCM of 624,7737]= 1/1609296
Therefore, the GCF of 4386/624,9781/7737 is 1/1609296.
To find the highest common factor of 4386,9781, we have to find the factors of both numbers and list the highest common factor.
The factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386
The factors of 9781 are 1, 9781
The HCF of 4386,9781 is 1.
Lets's calculate GCF of 4386,9781
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4386,9781 By Matching Biggest Common Factor Method
Now, list down the factors of 4386
:1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386
Now, list down the factors of 9781
:1,9781
Greatest Common Factor
We found the factors 4386,9781 . The biggest common factor number is the GCF number.
So the greatest common factor 4386,9781 is 1.
Lets's calculate LCM of 624,7737
| 3 | 624, 7737 |
| 208, 2579 |
∴ So the LCM of the given numbers is 3 x 208 x 2579 = 1609296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1609296
Therefore, the GCF of Fractions 4386/624,9781/7737 is 1/1609296
Least Common Multiple of 624,7737 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 624,7737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,7737) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(624,7737) x common factors =3 x 1 = 3
LCM(624,7737) = ( 624 × 7737 ) / 3
LCM(624,7737) = 4827888 / 3
LCM(624,7737) = 1609296
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FAQs on GCF of Fractions of 4386/624, 9781/7737
1. What is the HCF of 4386,9781?
The HCF of 4386,9781 is 1
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 4386/624, 9781/7737?
Answer: GCF of Numerators as per given numbers 4386/624, 9781/7737 is
GCF of Numerators i.e. for 4386,9781 is 1
LCM of denominators i.e. for 624,7737 is 1609296.
Thus, GCF of Fractions is 1/1609296.Finally, GCF of Fractions for 4386/624, 9781/7737 is 1/1609296.