GCF of 9252/314, 4410/3597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9252/314, 4410/3597 i.e 18/1129458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9252/314, 4410/3597.
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 9252/314,4410/3597?
Given fractions are 9252/314,4410/3597
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 9252/314,4410/3597, numerators are 9252,4410
Denominators are 314,3597
The GCF of 9252,4410 is 18 .
LCM of 314,3597 is 1129458.
The greatest common factor of 9252/314,4410/3597 = [GCF of 9252,4410]/[LCM of 314,3597]= 18/1129458
Therefore, the GCF of 9252/314,4410/3597 is 18/1129458.
To find the highest common factor of 9252,4410, we have to find the factors of both numbers and list the highest common factor.
The factors of 9252 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 9252
The factors of 4410 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 441, 490, 630, 735, 882, 1470, 2205, 4410
The HCF of 9252,4410 is 18.
Lets's calculate GCF of 9252,4410
| 2 | 9252, 4410 |
| 3 | 4626, 2205 |
| 3 | 1542, 735 |
| 514, 245 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 9252,4410 By Matching Biggest Common Factor Method
Now, list down the factors of 9252
:1,2,3,4,6,9,12,18,36,257,514,771,1028,1542,2313,3084,4626,9252
Now, list down the factors of 4410
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,49,63,70,90,98,105,126,147,210,245,294,315,441,490,630,735,882,1470,2205,4410
Greatest Common Factor
We found the factors 9252,4410 . The biggest common factor number is the GCF number.
So the greatest common factor 9252,4410 is 18.
Lets's calculate LCM of 314,3597
Given numbers has no common factors except 1. So, there LCM is their product i.e 1129458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1129458
Therefore, the GCF of Fractions 9252/314,4410/3597 is 18/1129458
Least Common Multiple of 314,3597 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 314,3597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,3597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,3597) x common factors =1 x 1 = 1
LCM(314,3597) = ( 314 × 3597 ) / 1
LCM(314,3597) = 1129458 / 1
LCM(314,3597) = 1129458
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FAQs on GCF of Fractions of 9252/314, 4410/3597
1. What is the HCF of 9252,4410?
The HCF of 9252,4410 is 18
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 9252/314, 4410/3597?
Answer: GCF of Numerators as per given numbers 9252/314, 4410/3597 is
GCF of Numerators i.e. for 9252,4410 is 18
LCM of denominators i.e. for 314,3597 is 1129458.
Thus, GCF of Fractions is 18/1129458.Finally, GCF of Fractions for 9252/314, 4410/3597 is 18/1129458.