GCF of 9479/548, 2234/580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9479/548, 2234/580 i.e 1/79460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9479/548, 2234/580.
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 9479/548,2234/580?
Given fractions are 9479/548,2234/580
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 9479/548,2234/580, numerators are 9479,2234
Denominators are 548,580
The GCF of 9479,2234 is 1 .
LCM of 548,580 is 79460.
The greatest common factor of 9479/548,2234/580 = [GCF of 9479,2234]/[LCM of 548,580]= 1/79460
Therefore, the GCF of 9479/548,2234/580 is 1/79460.
To find the highest common factor of 9479,2234, we have to find the factors of both numbers and list the highest common factor.
The factors of 9479 are 1, 9479
The factors of 2234 are 1, 2, 1117, 2234
The HCF of 9479,2234 is 1.
Lets's calculate GCF of 9479,2234
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9479,2234 By Matching Biggest Common Factor Method
Now, list down the factors of 9479
:1,9479
Now, list down the factors of 2234
:1,2,1117,2234
Greatest Common Factor
We found the factors 9479,2234 . The biggest common factor number is the GCF number.
So the greatest common factor 9479,2234 is 1.
Lets's calculate LCM of 548,580
| 2 | 548, 580 |
| 2 | 274, 290 |
| 137, 145 |
∴ So the LCM of the given numbers is 2 x 2 x 137 x 145 = 79460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79460
Therefore, the GCF of Fractions 9479/548,2234/580 is 1/79460
Least Common Multiple of 548,580 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 548,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,580) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(548,580) x common factors =4 x 1 = 4
LCM(548,580) = ( 548 × 580 ) / 4
LCM(548,580) = 317840 / 4
LCM(548,580) = 79460
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FAQs on GCF of Fractions of 9479/548, 2234/580
1. What is the HCF of 9479,2234?
The HCF of 9479,2234 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 9479/548, 2234/580?
Answer: GCF of Numerators as per given numbers 9479/548, 2234/580 is
GCF of Numerators i.e. for 9479,2234 is 1
LCM of denominators i.e. for 548,580 is 79460.
Thus, GCF of Fractions is 1/79460.Finally, GCF of Fractions for 9479/548, 2234/580 is 1/79460.