GCF of 4760/859, 5900/7545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4760/859, 5900/7545 i.e 20/6481155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4760/859, 5900/7545.
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 4760/859,5900/7545?
Given fractions are 4760/859,5900/7545
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 4760/859,5900/7545, numerators are 4760,5900
Denominators are 859,7545
The GCF of 4760,5900 is 20 .
LCM of 859,7545 is 6481155.
The greatest common factor of 4760/859,5900/7545 = [GCF of 4760,5900]/[LCM of 859,7545]= 20/6481155
Therefore, the GCF of 4760/859,5900/7545 is 20/6481155.
To find the highest common factor of 4760,5900, we have to find the factors of both numbers and list the highest common factor.
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 factors of 5900 are 1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900
The HCF of 4760,5900 is 20.
Lets's calculate GCF of 4760,5900
| 2 | 4760, 5900 |
| 2 | 2380, 2950 |
| 5 | 1190, 1475 |
| 238, 295 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 4760,5900 By Matching Biggest Common Factor Method
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
Now, list down the factors of 5900
:1,2,4,5,10,20,25,50,59,100,118,236,295,590,1180,1475,2950,5900
Greatest Common Factor
We found the factors 4760,5900 . The biggest common factor number is the GCF number.
So the greatest common factor 4760,5900 is 20.
Lets's calculate LCM of 859,7545
Given numbers has no common factors except 1. So, there LCM is their product i.e 6481155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/6481155
Therefore, the GCF of Fractions 4760/859,5900/7545 is 20/6481155
Least Common Multiple of 859,7545 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 859,7545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,7545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,7545) x common factors =1 x 1 = 1
LCM(859,7545) = ( 859 × 7545 ) / 1
LCM(859,7545) = 6481155 / 1
LCM(859,7545) = 6481155
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FAQs on GCF of Fractions of 4760/859, 5900/7545
1. What is the HCF of 4760,5900?
The HCF of 4760,5900 is 20
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 4760/859, 5900/7545?
Answer: GCF of Numerators as per given numbers 4760/859, 5900/7545 is
GCF of Numerators i.e. for 4760,5900 is 20
LCM of denominators i.e. for 859,7545 is 6481155.
Thus, GCF of Fractions is 20/6481155.Finally, GCF of Fractions for 4760/859, 5900/7545 is 20/6481155.