GCF of 9580/580, 2652/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9580/580, 2652/914 i.e 4/265060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9580/580, 2652/914.
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 9580/580,2652/914?
Given fractions are 9580/580,2652/914
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 9580/580,2652/914, numerators are 9580,2652
Denominators are 580,914
The GCF of 9580,2652 is 4 .
LCM of 580,914 is 265060.
The greatest common factor of 9580/580,2652/914 = [GCF of 9580,2652]/[LCM of 580,914]= 4/265060
Therefore, the GCF of 9580/580,2652/914 is 4/265060.
To find the highest common factor of 9580,2652, we have to find the factors of both numbers and list the highest common factor.
The factors of 9580 are 1, 2, 4, 5, 10, 20, 479, 958, 1916, 2395, 4790, 9580
The factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652
The HCF of 9580,2652 is 4.
Lets's calculate GCF of 9580,2652
| 2 | 9580, 2652 |
| 2 | 4790, 1326 |
| 2395, 663 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9580,2652 By Matching Biggest Common Factor Method
Now, list down the factors of 9580
:1,2,4,5,10,20,479,958,1916,2395,4790,9580
Now, list down the factors of 2652
:1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652
Greatest Common Factor
We found the factors 9580,2652 . The biggest common factor number is the GCF number.
So the greatest common factor 9580,2652 is 4.
Lets's calculate LCM of 580,914
| 2 | 580, 914 |
| 290, 457 |
∴ So the LCM of the given numbers is 2 x 290 x 457 = 265060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/265060
Therefore, the GCF of Fractions 9580/580,2652/914 is 4/265060
Least Common Multiple of 580,914 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 580,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(580,914) x common factors =2 x 1 = 2
LCM(580,914) = ( 580 × 914 ) / 2
LCM(580,914) = 530120 / 2
LCM(580,914) = 265060
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FAQs on GCF of Fractions of 9580/580, 2652/914
1. What is the HCF of 9580,2652?
The HCF of 9580,2652 is 4
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 9580/580, 2652/914?
Answer: GCF of Numerators as per given numbers 9580/580, 2652/914 is
GCF of Numerators i.e. for 9580,2652 is 4
LCM of denominators i.e. for 580,914 is 265060.
Thus, GCF of Fractions is 4/265060.Finally, GCF of Fractions for 9580/580, 2652/914 is 4/265060.