GCF of 1603/493, 4760/1685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1603/493, 4760/1685 i.e 7/830705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1603/493, 4760/1685.
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 1603/493,4760/1685?
Given fractions are 1603/493,4760/1685
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 1603/493,4760/1685, numerators are 1603,4760
Denominators are 493,1685
The GCF of 1603,4760 is 7 .
LCM of 493,1685 is 830705.
The greatest common factor of 1603/493,4760/1685 = [GCF of 1603,4760]/[LCM of 493,1685]= 7/830705
Therefore, the GCF of 1603/493,4760/1685 is 7/830705.
To find the highest common factor of 1603,4760, we have to find the factors of both numbers and list the highest common factor.
The factors of 1603 are 1, 7, 229, 1603
The factors of 4760 are 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760
The HCF of 1603,4760 is 7.
Lets's calculate GCF of 1603,4760
| 7 | 1603, 4760 |
| 229, 680 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1603,4760 By Matching Biggest Common Factor Method
Now, list down the factors of 1603
:1,7,229,1603
Now, list down the factors of 4760
:1,2,4,5,7,8,10,14,17,20,28,34,35,40,56,68,70,85,119,136,140,170,238,280,340,476,595,680,952,1190,2380,4760
Greatest Common Factor
We found the factors 1603,4760 . The biggest common factor number is the GCF number.
So the greatest common factor 1603,4760 is 7.
Lets's calculate LCM of 493,1685
Given numbers has no common factors except 1. So, there LCM is their product i.e 830705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/830705
Therefore, the GCF of Fractions 1603/493,4760/1685 is 7/830705
Least Common Multiple of 493,1685 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 493,1685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,1685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,1685) x common factors =1 x 1 = 1
LCM(493,1685) = ( 493 × 1685 ) / 1
LCM(493,1685) = 830705 / 1
LCM(493,1685) = 830705
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FAQs on GCF of Fractions of 1603/493, 4760/1685
1. What is the HCF of 1603,4760?
The HCF of 1603,4760 is 7
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 1603/493, 4760/1685?
Answer: GCF of Numerators as per given numbers 1603/493, 4760/1685 is
GCF of Numerators i.e. for 1603,4760 is 7
LCM of denominators i.e. for 493,1685 is 830705.
Thus, GCF of Fractions is 7/830705.Finally, GCF of Fractions for 1603/493, 4760/1685 is 7/830705.