GCF of 1520/176, 7372/391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1520/176, 7372/391 i.e 76/68816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1520/176, 7372/391.
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 1520/176,7372/391?
Given fractions are 1520/176,7372/391
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 1520/176,7372/391, numerators are 1520,7372
Denominators are 176,391
The GCF of 1520,7372 is 76 .
LCM of 176,391 is 68816.
The greatest common factor of 1520/176,7372/391 = [GCF of 1520,7372]/[LCM of 176,391]= 76/68816
Therefore, the GCF of 1520/176,7372/391 is 76/68816.
To find the highest common factor of 1520,7372, we have to find the factors of both numbers and list the highest common factor.
The factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520
The factors of 7372 are 1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372
The HCF of 1520,7372 is 76.
Lets's calculate GCF of 1520,7372
| 2 | 1520, 7372 |
| 2 | 760, 3686 |
| 19 | 380, 1843 |
| 20, 97 |
∴ So the GCF of the given numbers is 2 x 2 x 19 = 76
Greatest Common Factor of 1520,7372 By Matching Biggest Common Factor Method
Now, list down the factors of 1520
:1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520
Now, list down the factors of 7372
:1,2,4,19,38,76,97,194,388,1843,3686,7372
Greatest Common Factor
We found the factors 1520,7372 . The biggest common factor number is the GCF number.
So the greatest common factor 1520,7372 is 76.
Lets's calculate LCM of 176,391
Given numbers has no common factors except 1. So, there LCM is their product i.e 68816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/68816
Therefore, the GCF of Fractions 1520/176,7372/391 is 76/68816
Least Common Multiple of 176,391 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 176,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(176,391) x common factors =1 x 1 = 1
LCM(176,391) = ( 176 × 391 ) / 1
LCM(176,391) = 68816 / 1
LCM(176,391) = 68816
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FAQs on GCF of Fractions of 1520/176, 7372/391
1. What is the HCF of 1520,7372?
The HCF of 1520,7372 is 76
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 1520/176, 7372/391?
Answer: GCF of Numerators as per given numbers 1520/176, 7372/391 is
GCF of Numerators i.e. for 1520,7372 is 76
LCM of denominators i.e. for 176,391 is 68816.
Thus, GCF of Fractions is 76/68816.Finally, GCF of Fractions for 1520/176, 7372/391 is 76/68816.