GCF of 4720/560, 8710/5775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4720/560, 8710/5775 i.e 10/92400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4720/560, 8710/5775.
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 4720/560,8710/5775?
Given fractions are 4720/560,8710/5775
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 4720/560,8710/5775, numerators are 4720,8710
Denominators are 560,5775
The GCF of 4720,8710 is 10 .
LCM of 560,5775 is 92400.
The greatest common factor of 4720/560,8710/5775 = [GCF of 4720,8710]/[LCM of 560,5775]= 10/92400
Therefore, the GCF of 4720/560,8710/5775 is 10/92400.
To find the highest common factor of 4720,8710, we have to find the factors of both numbers and list the highest common factor.
The factors of 4720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720
The factors of 8710 are 1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710
The HCF of 4720,8710 is 10.
Lets's calculate GCF of 4720,8710
| 2 | 4720, 8710 |
| 5 | 2360, 4355 |
| 472, 871 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4720,8710 By Matching Biggest Common Factor Method
Now, list down the factors of 4720
:1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720
Now, list down the factors of 8710
:1,2,5,10,13,26,65,67,130,134,335,670,871,1742,4355,8710
Greatest Common Factor
We found the factors 4720,8710 . The biggest common factor number is the GCF number.
So the greatest common factor 4720,8710 is 10.
Lets's calculate LCM of 560,5775
| 5 | 560, 5775 |
| 7 | 112, 1155 |
| 16, 165 |
∴ So the LCM of the given numbers is 5 x 7 x 16 x 165 = 92400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/92400
Therefore, the GCF of Fractions 4720/560,8710/5775 is 10/92400
Least Common Multiple of 560,5775 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 560,5775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,5775) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(560,5775) x common factors =35 x 1 = 35
LCM(560,5775) = ( 560 × 5775 ) / 35
LCM(560,5775) = 3234000 / 35
LCM(560,5775) = 92400
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FAQs on GCF of Fractions of 4720/560, 8710/5775
1. What is the HCF of 4720,8710?
The HCF of 4720,8710 is 10
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 4720/560, 8710/5775?
Answer: GCF of Numerators as per given numbers 4720/560, 8710/5775 is
GCF of Numerators i.e. for 4720,8710 is 10
LCM of denominators i.e. for 560,5775 is 92400.
Thus, GCF of Fractions is 10/92400.Finally, GCF of Fractions for 4720/560, 8710/5775 is 10/92400.