GCF of 4410/302, 7316/1608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4410/302, 7316/1608 i.e 2/242808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4410/302, 7316/1608.
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 4410/302,7316/1608?
Given fractions are 4410/302,7316/1608
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 4410/302,7316/1608, numerators are 4410,7316
Denominators are 302,1608
The GCF of 4410,7316 is 2 .
LCM of 302,1608 is 242808.
The greatest common factor of 4410/302,7316/1608 = [GCF of 4410,7316]/[LCM of 302,1608]= 2/242808
Therefore, the GCF of 4410/302,7316/1608 is 2/242808.
To find the highest common factor of 4410,7316, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7316 are 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316
The HCF of 4410,7316 is 2.
Lets's calculate GCF of 4410,7316
| 2 | 4410, 7316 |
| 2205, 3658 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4410,7316 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7316
:1,2,4,31,59,62,118,124,236,1829,3658,7316
Greatest Common Factor
We found the factors 4410,7316 . The biggest common factor number is the GCF number.
So the greatest common factor 4410,7316 is 2.
Lets's calculate LCM of 302,1608
| 2 | 302, 1608 |
| 151, 804 |
∴ So the LCM of the given numbers is 2 x 151 x 804 = 242808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/242808
Therefore, the GCF of Fractions 4410/302,7316/1608 is 2/242808
Least Common Multiple of 302,1608 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 302,1608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,1608) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,1608) x common factors =2 x 1 = 2
LCM(302,1608) = ( 302 × 1608 ) / 2
LCM(302,1608) = 485616 / 2
LCM(302,1608) = 242808
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FAQs on GCF of Fractions of 4410/302, 7316/1608
1. What is the HCF of 4410,7316?
The HCF of 4410,7316 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 4410/302, 7316/1608?
Answer: GCF of Numerators as per given numbers 4410/302, 7316/1608 is
GCF of Numerators i.e. for 4410,7316 is 2
LCM of denominators i.e. for 302,1608 is 242808.
Thus, GCF of Fractions is 2/242808.Finally, GCF of Fractions for 4410/302, 7316/1608 is 2/242808.