GCF of 910/30, 524/343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 910/30, 524/343 i.e 2/10290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 910/30, 524/343.
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 910/30,524/343?
Given fractions are 910/30,524/343
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 910/30,524/343, numerators are 910,524
Denominators are 30,343
The GCF of 910,524 is 2 .
LCM of 30,343 is 10290.
The greatest common factor of 910/30,524/343 = [GCF of 910,524]/[LCM of 30,343]= 2/10290
Therefore, the GCF of 910/30,524/343 is 2/10290.
To find the highest common factor of 910,524, we have to find the factors of both numbers and list the highest common factor.
The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
The factors of 524 are 1, 2, 4, 131, 262, 524
The HCF of 910,524 is 2.
Lets's calculate GCF of 910,524
| 2 | 910, 524 |
| 455, 262 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 910,524 By Matching Biggest Common Factor Method
Now, list down the factors of 910
:1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Now, list down the factors of 524
:1,2,4,131,262,524
Greatest Common Factor
We found the factors 910,524 . The biggest common factor number is the GCF number.
So the greatest common factor 910,524 is 2.
Lets's calculate LCM of 30,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 10290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10290
Therefore, the GCF of Fractions 910/30,524/343 is 2/10290
Least Common Multiple of 30,343 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 30,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,343) x common factors =1 x 1 = 1
LCM(30,343) = ( 30 × 343 ) / 1
LCM(30,343) = 10290 / 1
LCM(30,343) = 10290
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FAQs on GCF of Fractions of 910/30, 524/343
1. What is the HCF of 910,524?
The HCF of 910,524 is 2
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 910/30, 524/343?
Answer: GCF of Numerators as per given numbers 910/30, 524/343 is
GCF of Numerators i.e. for 910,524 is 2
LCM of denominators i.e. for 30,343 is 10290.
Thus, GCF of Fractions is 2/10290.Finally, GCF of Fractions for 910/30, 524/343 is 2/10290.