GCF of 4732/912, 1308/3168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4732/912, 1308/3168 i.e 4/60192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4732/912, 1308/3168.
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 4732/912,1308/3168?
Given fractions are 4732/912,1308/3168
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 4732/912,1308/3168, numerators are 4732,1308
Denominators are 912,3168
The GCF of 4732,1308 is 4 .
LCM of 912,3168 is 60192.
The greatest common factor of 4732/912,1308/3168 = [GCF of 4732,1308]/[LCM of 912,3168]= 4/60192
Therefore, the GCF of 4732/912,1308/3168 is 4/60192.
To find the highest common factor of 4732,1308, we have to find the factors of both numbers and list the highest common factor.
The factors of 4732 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732
The factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308
The HCF of 4732,1308 is 4.
Lets's calculate GCF of 4732,1308
| 2 | 4732, 1308 |
| 2 | 2366, 654 |
| 1183, 327 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4732,1308 By Matching Biggest Common Factor Method
Now, list down the factors of 4732
:1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732
Now, list down the factors of 1308
:1,2,3,4,6,12,109,218,327,436,654,1308
Greatest Common Factor
We found the factors 4732,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 4732,1308 is 4.
Lets's calculate LCM of 912,3168
| 2 | 912, 3168 |
| 2 | 456, 1584 |
| 2 | 228, 792 |
| 2 | 114, 396 |
| 3 | 57, 198 |
| 19, 66 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 19 x 66 = 60192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/60192
Therefore, the GCF of Fractions 4732/912,1308/3168 is 4/60192
Least Common Multiple of 912,3168 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 912,3168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,3168) = 48
common factors(in case of two or more numbers have common factors) = 1
GCF(912,3168) x common factors =48 x 1 = 48
LCM(912,3168) = ( 912 × 3168 ) / 48
LCM(912,3168) = 2889216 / 48
LCM(912,3168) = 60192
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4732/912, 1308/3168
1. What is the HCF of 4732,1308?
The HCF of 4732,1308 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 4732/912, 1308/3168?
Answer: GCF of Numerators as per given numbers 4732/912, 1308/3168 is
GCF of Numerators i.e. for 4732,1308 is 4
LCM of denominators i.e. for 912,3168 is 60192.
Thus, GCF of Fractions is 4/60192.Finally, GCF of Fractions for 4732/912, 1308/3168 is 4/60192.