GCF of 4760/871, 7055/5377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4760/871, 7055/5377 i.e 85/4683367 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4760/871, 7055/5377.
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 4760/871,7055/5377?
Given fractions are 4760/871,7055/5377
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 4760/871,7055/5377, numerators are 4760,7055
Denominators are 871,5377
The GCF of 4760,7055 is 85 .
LCM of 871,5377 is 4683367.
The greatest common factor of 4760/871,7055/5377 = [GCF of 4760,7055]/[LCM of 871,5377]= 85/4683367
Therefore, the GCF of 4760/871,7055/5377 is 85/4683367.
To find the highest common factor of 4760,7055, 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 7055 are 1, 5, 17, 83, 85, 415, 1411, 7055
The HCF of 4760,7055 is 85.
Lets's calculate GCF of 4760,7055
| 5 | 4760, 7055 |
| 17 | 952, 1411 |
| 56, 83 |
∴ So the GCF of the given numbers is 5 x 17 = 85
Greatest Common Factor of 4760,7055 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 7055
:1,5,17,83,85,415,1411,7055
Greatest Common Factor
We found the factors 4760,7055 . The biggest common factor number is the GCF number.
So the greatest common factor 4760,7055 is 85.
Lets's calculate LCM of 871,5377
Given numbers has no common factors except 1. So, there LCM is their product i.e 4683367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 85/4683367
Therefore, the GCF of Fractions 4760/871,7055/5377 is 85/4683367
Least Common Multiple of 871,5377 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 871,5377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,5377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,5377) x common factors =1 x 1 = 1
LCM(871,5377) = ( 871 × 5377 ) / 1
LCM(871,5377) = 4683367 / 1
LCM(871,5377) = 4683367
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FAQs on GCF of Fractions of 4760/871, 7055/5377
1. What is the HCF of 4760,7055?
The HCF of 4760,7055 is 85
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 4760/871, 7055/5377?
Answer: GCF of Numerators as per given numbers 4760/871, 7055/5377 is
GCF of Numerators i.e. for 4760,7055 is 85
LCM of denominators i.e. for 871,5377 is 4683367.
Thus, GCF of Fractions is 85/4683367.Finally, GCF of Fractions for 4760/871, 7055/5377 is 85/4683367.