GCF of 2496/443, 7040/1765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2496/443, 7040/1765 i.e 64/781895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2496/443, 7040/1765.
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 2496/443,7040/1765?
Given fractions are 2496/443,7040/1765
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 2496/443,7040/1765, numerators are 2496,7040
Denominators are 443,1765
The GCF of 2496,7040 is 64 .
LCM of 443,1765 is 781895.
The greatest common factor of 2496/443,7040/1765 = [GCF of 2496,7040]/[LCM of 443,1765]= 64/781895
Therefore, the GCF of 2496/443,7040/1765 is 64/781895.
To find the highest common factor of 2496,7040, we have to find the factors of both numbers and list the highest common factor.
The factors of 2496 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496
The factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040
The HCF of 2496,7040 is 64.
Lets's calculate GCF of 2496,7040
| 2 | 2496, 7040 |
| 2 | 1248, 3520 |
| 2 | 624, 1760 |
| 2 | 312, 880 |
| 2 | 156, 440 |
| 2 | 78, 220 |
| 39, 110 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Greatest Common Factor of 2496,7040 By Matching Biggest Common Factor Method
Now, list down the factors of 2496
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496
Now, list down the factors of 7040
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040
Greatest Common Factor
We found the factors 2496,7040 . The biggest common factor number is the GCF number.
So the greatest common factor 2496,7040 is 64.
Lets's calculate LCM of 443,1765
Given numbers has no common factors except 1. So, there LCM is their product i.e 781895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/781895
Therefore, the GCF of Fractions 2496/443,7040/1765 is 64/781895
Least Common Multiple of 443,1765 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 443,1765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,1765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,1765) x common factors =1 x 1 = 1
LCM(443,1765) = ( 443 × 1765 ) / 1
LCM(443,1765) = 781895 / 1
LCM(443,1765) = 781895
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FAQs on GCF of Fractions of 2496/443, 7040/1765
1. What is the HCF of 2496,7040?
The HCF of 2496,7040 is 64
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 2496/443, 7040/1765?
Answer: GCF of Numerators as per given numbers 2496/443, 7040/1765 is
GCF of Numerators i.e. for 2496,7040 is 64
LCM of denominators i.e. for 443,1765 is 781895.
Thus, GCF of Fractions is 64/781895.Finally, GCF of Fractions for 2496/443, 7040/1765 is 64/781895.