GCF of 1788/356, 9160/7691
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1788/356, 9160/7691 i.e 4/2737996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1788/356, 9160/7691.
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 1788/356,9160/7691?
Given fractions are 1788/356,9160/7691
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 1788/356,9160/7691, numerators are 1788,9160
Denominators are 356,7691
The GCF of 1788,9160 is 4 .
LCM of 356,7691 is 2737996.
The greatest common factor of 1788/356,9160/7691 = [GCF of 1788,9160]/[LCM of 356,7691]= 4/2737996
Therefore, the GCF of 1788/356,9160/7691 is 4/2737996.
To find the highest common factor of 1788,9160, we have to find the factors of both numbers and list the highest common factor.
The factors of 1788 are 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788
The factors of 9160 are 1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160
The HCF of 1788,9160 is 4.
Lets's calculate GCF of 1788,9160
| 2 | 1788, 9160 |
| 2 | 894, 4580 |
| 447, 2290 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1788,9160 By Matching Biggest Common Factor Method
Now, list down the factors of 1788
:1,2,3,4,6,12,149,298,447,596,894,1788
Now, list down the factors of 9160
:1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160
Greatest Common Factor
We found the factors 1788,9160 . The biggest common factor number is the GCF number.
So the greatest common factor 1788,9160 is 4.
Lets's calculate LCM of 356,7691
Given numbers has no common factors except 1. So, there LCM is their product i.e 2737996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2737996
Therefore, the GCF of Fractions 1788/356,9160/7691 is 4/2737996
Least Common Multiple of 356,7691 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 356,7691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,7691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(356,7691) x common factors =1 x 1 = 1
LCM(356,7691) = ( 356 × 7691 ) / 1
LCM(356,7691) = 2737996 / 1
LCM(356,7691) = 2737996
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FAQs on GCF of Fractions of 1788/356, 9160/7691
1. What is the HCF of 1788,9160?
The HCF of 1788,9160 is 4
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 1788/356, 9160/7691?
Answer: GCF of Numerators as per given numbers 1788/356, 9160/7691 is
GCF of Numerators i.e. for 1788,9160 is 4
LCM of denominators i.e. for 356,7691 is 2737996.
Thus, GCF of Fractions is 4/2737996.Finally, GCF of Fractions for 1788/356, 9160/7691 is 4/2737996.