GCF of 430/989, 7109/506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 430/989, 7109/506 i.e 1/21758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/989, 7109/506.
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 430/989,7109/506?
Given fractions are 430/989,7109/506
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 430/989,7109/506, numerators are 430,7109
Denominators are 989,506
The GCF of 430,7109 is 1 .
LCM of 989,506 is 21758.
The greatest common factor of 430/989,7109/506 = [GCF of 430,7109]/[LCM of 989,506]= 1/21758
Therefore, the GCF of 430/989,7109/506 is 1/21758.
To find the highest common factor of 430,7109, we have to find the factors of both numbers and list the highest common factor.
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The factors of 7109 are 1, 7109
The HCF of 430,7109 is 1.
Lets's calculate GCF of 430,7109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 430,7109 By Matching Biggest Common Factor Method
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Now, list down the factors of 7109
:1,7109
Greatest Common Factor
We found the factors 430,7109 . The biggest common factor number is the GCF number.
So the greatest common factor 430,7109 is 1.
Lets's calculate LCM of 989,506
| 23 | 989, 506 |
| 43, 22 |
∴ So the LCM of the given numbers is 23 x 43 x 22 = 21758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21758
Therefore, the GCF of Fractions 430/989,7109/506 is 1/21758
Least Common Multiple of 989,506 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 989,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,506) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(989,506) x common factors =23 x 1 = 23
LCM(989,506) = ( 989 × 506 ) / 23
LCM(989,506) = 500434 / 23
LCM(989,506) = 21758
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FAQs on GCF of Fractions of 430/989, 7109/506
1. What is the HCF of 430,7109?
The HCF of 430,7109 is 1
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 430/989, 7109/506?
Answer: GCF of Numerators as per given numbers 430/989, 7109/506 is
GCF of Numerators i.e. for 430,7109 is 1
LCM of denominators i.e. for 989,506 is 21758.
Thus, GCF of Fractions is 1/21758.Finally, GCF of Fractions for 430/989, 7109/506 is 1/21758.