GCF of 2072/336, 5320/7508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2072/336, 5320/7508 i.e 56/630672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2072/336, 5320/7508.
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 2072/336,5320/7508?
Given fractions are 2072/336,5320/7508
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 2072/336,5320/7508, numerators are 2072,5320
Denominators are 336,7508
The GCF of 2072,5320 is 56 .
LCM of 336,7508 is 630672.
The greatest common factor of 2072/336,5320/7508 = [GCF of 2072,5320]/[LCM of 336,7508]= 56/630672
Therefore, the GCF of 2072/336,5320/7508 is 56/630672.
To find the highest common factor of 2072,5320, we have to find the factors of both numbers and list the highest common factor.
The factors of 2072 are 1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072
The factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320
The HCF of 2072,5320 is 56.
Lets's calculate GCF of 2072,5320
| 2 | 2072, 5320 |
| 2 | 1036, 2660 |
| 2 | 518, 1330 |
| 7 | 259, 665 |
| 37, 95 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 2072,5320 By Matching Biggest Common Factor Method
Now, list down the factors of 2072
:1,2,4,7,8,14,28,37,56,74,148,259,296,518,1036,2072
Now, list down the factors of 5320
:1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320
Greatest Common Factor
We found the factors 2072,5320 . The biggest common factor number is the GCF number.
So the greatest common factor 2072,5320 is 56.
Lets's calculate LCM of 336,7508
| 2 | 336, 7508 |
| 2 | 168, 3754 |
| 84, 1877 |
∴ So the LCM of the given numbers is 2 x 2 x 84 x 1877 = 630672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/630672
Therefore, the GCF of Fractions 2072/336,5320/7508 is 56/630672
Least Common Multiple of 336,7508 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 336,7508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,7508) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(336,7508) x common factors =4 x 1 = 4
LCM(336,7508) = ( 336 × 7508 ) / 4
LCM(336,7508) = 2522688 / 4
LCM(336,7508) = 630672
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FAQs on GCF of Fractions of 2072/336, 5320/7508
1. What is the HCF of 2072,5320?
The HCF of 2072,5320 is 56
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 2072/336, 5320/7508?
Answer: GCF of Numerators as per given numbers 2072/336, 5320/7508 is
GCF of Numerators i.e. for 2072,5320 is 56
LCM of denominators i.e. for 336,7508 is 630672.
Thus, GCF of Fractions is 56/630672.Finally, GCF of Fractions for 2072/336, 5320/7508 is 56/630672.