GCF of 4432/940, 2352/7308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4432/940, 2352/7308 i.e 16/1717380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4432/940, 2352/7308.
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 4432/940,2352/7308?
Given fractions are 4432/940,2352/7308
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 4432/940,2352/7308, numerators are 4432,2352
Denominators are 940,7308
The GCF of 4432,2352 is 16 .
LCM of 940,7308 is 1717380.
The greatest common factor of 4432/940,2352/7308 = [GCF of 4432,2352]/[LCM of 940,7308]= 16/1717380
Therefore, the GCF of 4432/940,2352/7308 is 16/1717380.
To find the highest common factor of 4432,2352, we have to find the factors of both numbers and list the highest common factor.
The factors of 4432 are 1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432
The factors of 2352 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352
The HCF of 4432,2352 is 16.
Lets's calculate GCF of 4432,2352
| 2 | 4432, 2352 |
| 2 | 2216, 1176 |
| 2 | 1108, 588 |
| 2 | 554, 294 |
| 277, 147 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4432,2352 By Matching Biggest Common Factor Method
Now, list down the factors of 4432
:1,2,4,8,16,277,554,1108,2216,4432
Now, list down the factors of 2352
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,49,56,84,98,112,147,168,196,294,336,392,588,784,1176,2352
Greatest Common Factor
We found the factors 4432,2352 . The biggest common factor number is the GCF number.
So the greatest common factor 4432,2352 is 16.
Lets's calculate LCM of 940,7308
| 2 | 940, 7308 |
| 2 | 470, 3654 |
| 235, 1827 |
∴ So the LCM of the given numbers is 2 x 2 x 235 x 1827 = 1717380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1717380
Therefore, the GCF of Fractions 4432/940,2352/7308 is 16/1717380
Least Common Multiple of 940,7308 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 940,7308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,7308) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(940,7308) x common factors =4 x 1 = 4
LCM(940,7308) = ( 940 × 7308 ) / 4
LCM(940,7308) = 6869520 / 4
LCM(940,7308) = 1717380
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FAQs on GCF of Fractions of 4432/940, 2352/7308
1. What is the HCF of 4432,2352?
The HCF of 4432,2352 is 16
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 4432/940, 2352/7308?
Answer: GCF of Numerators as per given numbers 4432/940, 2352/7308 is
GCF of Numerators i.e. for 4432,2352 is 16
LCM of denominators i.e. for 940,7308 is 1717380.
Thus, GCF of Fractions is 16/1717380.Finally, GCF of Fractions for 4432/940, 2352/7308 is 16/1717380.