GCF of 1344/198, 2730/7603
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1344/198, 2730/7603 i.e 42/1505394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1344/198, 2730/7603.
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 1344/198,2730/7603?
Given fractions are 1344/198,2730/7603
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 1344/198,2730/7603, numerators are 1344,2730
Denominators are 198,7603
The GCF of 1344,2730 is 42 .
LCM of 198,7603 is 1505394.
The greatest common factor of 1344/198,2730/7603 = [GCF of 1344,2730]/[LCM of 198,7603]= 42/1505394
Therefore, the GCF of 1344/198,2730/7603 is 42/1505394.
To find the highest common factor of 1344,2730, we have to find the factors of both numbers and list the highest common factor.
The factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344
The factors of 2730 are 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730
The HCF of 1344,2730 is 42.
Lets's calculate GCF of 1344,2730
| 2 | 1344, 2730 |
| 3 | 672, 1365 |
| 7 | 224, 455 |
| 32, 65 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 1344,2730 By Matching Biggest Common Factor Method
Now, list down the factors of 1344
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,168,192,224,336,448,672,1344
Now, list down the factors of 2730
:1,2,3,5,6,7,10,13,14,15,21,26,30,35,39,42,65,70,78,91,105,130,182,195,210,273,390,455,546,910,1365,2730
Greatest Common Factor
We found the factors 1344,2730 . The biggest common factor number is the GCF number.
So the greatest common factor 1344,2730 is 42.
Lets's calculate LCM of 198,7603
Given numbers has no common factors except 1. So, there LCM is their product i.e 1505394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/1505394
Therefore, the GCF of Fractions 1344/198,2730/7603 is 42/1505394
Least Common Multiple of 198,7603 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 198,7603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,7603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(198,7603) x common factors =1 x 1 = 1
LCM(198,7603) = ( 198 × 7603 ) / 1
LCM(198,7603) = 1505394 / 1
LCM(198,7603) = 1505394
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FAQs on GCF of Fractions of 1344/198, 2730/7603
1. What is the HCF of 1344,2730?
The HCF of 1344,2730 is 42
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 1344/198, 2730/7603?
Answer: GCF of Numerators as per given numbers 1344/198, 2730/7603 is
GCF of Numerators i.e. for 1344,2730 is 42
LCM of denominators i.e. for 198,7603 is 1505394.
Thus, GCF of Fractions is 42/1505394.Finally, GCF of Fractions for 1344/198, 2730/7603 is 42/1505394.