GCF of 4745/777, 8712/9942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4745/777, 8712/9942 i.e 1/2574978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4745/777, 8712/9942.
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 4745/777,8712/9942?
Given fractions are 4745/777,8712/9942
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 4745/777,8712/9942, numerators are 4745,8712
Denominators are 777,9942
The GCF of 4745,8712 is 1 .
LCM of 777,9942 is 2574978.
The greatest common factor of 4745/777,8712/9942 = [GCF of 4745,8712]/[LCM of 777,9942]= 1/2574978
Therefore, the GCF of 4745/777,8712/9942 is 1/2574978.
To find the highest common factor of 4745,8712, we have to find the factors of both numbers and list the highest common factor.
The factors of 4745 are 1, 5, 13, 65, 73, 365, 949, 4745
The factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712
The HCF of 4745,8712 is 1.
Lets's calculate GCF of 4745,8712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4745,8712 By Matching Biggest Common Factor Method
Now, list down the factors of 4745
:1,5,13,65,73,365,949,4745
Now, list down the factors of 8712
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712
Greatest Common Factor
We found the factors 4745,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 4745,8712 is 1.
Lets's calculate LCM of 777,9942
| 3 | 777, 9942 |
| 259, 3314 |
∴ So the LCM of the given numbers is 3 x 259 x 3314 = 2574978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2574978
Therefore, the GCF of Fractions 4745/777,8712/9942 is 1/2574978
Least Common Multiple of 777,9942 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 777,9942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,9942) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(777,9942) x common factors =3 x 1 = 3
LCM(777,9942) = ( 777 × 9942 ) / 3
LCM(777,9942) = 7724934 / 3
LCM(777,9942) = 2574978
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FAQs on GCF of Fractions of 4745/777, 8712/9942
1. What is the HCF of 4745,8712?
The HCF of 4745,8712 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 4745/777, 8712/9942?
Answer: GCF of Numerators as per given numbers 4745/777, 8712/9942 is
GCF of Numerators i.e. for 4745,8712 is 1
LCM of denominators i.e. for 777,9942 is 2574978.
Thus, GCF of Fractions is 1/2574978.Finally, GCF of Fractions for 4745/777, 8712/9942 is 1/2574978.