GCF of 520/57, 210/7097
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 520/57, 210/7097 i.e 10/404529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/57, 210/7097.
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 520/57,210/7097?
Given fractions are 520/57,210/7097
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 520/57,210/7097, numerators are 520,210
Denominators are 57,7097
The GCF of 520,210 is 10 .
LCM of 57,7097 is 404529.
The greatest common factor of 520/57,210/7097 = [GCF of 520,210]/[LCM of 57,7097]= 10/404529
Therefore, the GCF of 520/57,210/7097 is 10/404529.
To find the highest common factor of 520,210, we have to find the factors of both numbers and list the highest common factor.
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The HCF of 520,210 is 10.
Lets's calculate GCF of 520,210
| 2 | 520, 210 |
| 5 | 260, 105 |
| 52, 21 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 520,210 By Matching Biggest Common Factor Method
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 520,210 . The biggest common factor number is the GCF number.
So the greatest common factor 520,210 is 10.
Lets's calculate LCM of 57,7097
Given numbers has no common factors except 1. So, there LCM is their product i.e 404529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/404529
Therefore, the GCF of Fractions 520/57,210/7097 is 10/404529
Least Common Multiple of 57,7097 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 57,7097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,7097) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,7097) x common factors =1 x 1 = 1
LCM(57,7097) = ( 57 × 7097 ) / 1
LCM(57,7097) = 404529 / 1
LCM(57,7097) = 404529
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FAQs on GCF of Fractions of 520/57, 210/7097
1. What is the HCF of 520,210?
The HCF of 520,210 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 520/57, 210/7097?
Answer: GCF of Numerators as per given numbers 520/57, 210/7097 is
GCF of Numerators i.e. for 520,210 is 10
LCM of denominators i.e. for 57,7097 is 404529.
Thus, GCF of Fractions is 10/404529.Finally, GCF of Fractions for 520/57, 210/7097 is 10/404529.