GCF of 4791/535, 8712/1000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4791/535, 8712/1000 i.e 3/107000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4791/535, 8712/1000.
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 4791/535,8712/1000?
Given fractions are 4791/535,8712/1000
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 4791/535,8712/1000, numerators are 4791,8712
Denominators are 535,1000
The GCF of 4791,8712 is 3 .
LCM of 535,1000 is 107000.
The greatest common factor of 4791/535,8712/1000 = [GCF of 4791,8712]/[LCM of 535,1000]= 3/107000
Therefore, the GCF of 4791/535,8712/1000 is 3/107000.
To find the highest common factor of 4791,8712, we have to find the factors of both numbers and list the highest common factor.
The factors of 4791 are 1, 3, 1597, 4791
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 4791,8712 is 3.
Lets's calculate GCF of 4791,8712
| 3 | 4791, 8712 |
| 1597, 2904 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4791,8712 By Matching Biggest Common Factor Method
Now, list down the factors of 4791
:1,3,1597,4791
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 4791,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 4791,8712 is 3.
Lets's calculate LCM of 535,1000
| 5 | 535, 1000 |
| 107, 200 |
∴ So the LCM of the given numbers is 5 x 107 x 200 = 107000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/107000
Therefore, the GCF of Fractions 4791/535,8712/1000 is 3/107000
Least Common Multiple of 535,1000 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 535,1000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,1000) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(535,1000) x common factors =5 x 1 = 5
LCM(535,1000) = ( 535 × 1000 ) / 5
LCM(535,1000) = 535000 / 5
LCM(535,1000) = 107000
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FAQs on GCF of Fractions of 4791/535, 8712/1000
1. What is the HCF of 4791,8712?
The HCF of 4791,8712 is 3
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 4791/535, 8712/1000?
Answer: GCF of Numerators as per given numbers 4791/535, 8712/1000 is
GCF of Numerators i.e. for 4791,8712 is 3
LCM of denominators i.e. for 535,1000 is 107000.
Thus, GCF of Fractions is 3/107000.Finally, GCF of Fractions for 4791/535, 8712/1000 is 3/107000.