GCF of 2340/263, 7332/457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2340/263, 7332/457 i.e 156/120191 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2340/263, 7332/457.
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 2340/263,7332/457?
Given fractions are 2340/263,7332/457
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 2340/263,7332/457, numerators are 2340,7332
Denominators are 263,457
The GCF of 2340,7332 is 156 .
LCM of 263,457 is 120191.
The greatest common factor of 2340/263,7332/457 = [GCF of 2340,7332]/[LCM of 263,457]= 156/120191
Therefore, the GCF of 2340/263,7332/457 is 156/120191.
To find the highest common factor of 2340,7332, we have to find the factors of both numbers and list the highest common factor.
The factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340
The factors of 7332 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332
The HCF of 2340,7332 is 156.
Lets's calculate GCF of 2340,7332
| 2 | 2340, 7332 |
| 2 | 1170, 3666 |
| 3 | 585, 1833 |
| 13 | 195, 611 |
| 15, 47 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 13 = 156
Greatest Common Factor of 2340,7332 By Matching Biggest Common Factor Method
Now, list down the factors of 2340
:1,2,3,4,5,6,9,10,12,13,15,18,20,26,30,36,39,45,52,60,65,78,90,117,130,156,180,195,234,260,390,468,585,780,1170,2340
Now, list down the factors of 7332
:1,2,3,4,6,12,13,26,39,47,52,78,94,141,156,188,282,564,611,1222,1833,2444,3666,7332
Greatest Common Factor
We found the factors 2340,7332 . The biggest common factor number is the GCF number.
So the greatest common factor 2340,7332 is 156.
Lets's calculate LCM of 263,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 120191
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 156/120191
Therefore, the GCF of Fractions 2340/263,7332/457 is 156/120191
Least Common Multiple of 263,457 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 263,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,457) x common factors =1 x 1 = 1
LCM(263,457) = ( 263 × 457 ) / 1
LCM(263,457) = 120191 / 1
LCM(263,457) = 120191
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FAQs on GCF of Fractions of 2340/263, 7332/457
1. What is the HCF of 2340,7332?
The HCF of 2340,7332 is 156
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 2340/263, 7332/457?
Answer: GCF of Numerators as per given numbers 2340/263, 7332/457 is
GCF of Numerators i.e. for 2340,7332 is 156
LCM of denominators i.e. for 263,457 is 120191.
Thus, GCF of Fractions is 156/120191.Finally, GCF of Fractions for 2340/263, 7332/457 is 156/120191.