GCF of 1945/996, 7713/5788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1945/996, 7713/5788 i.e 1/1441212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1945/996, 7713/5788.
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 1945/996,7713/5788?
Given fractions are 1945/996,7713/5788
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 1945/996,7713/5788, numerators are 1945,7713
Denominators are 996,5788
The GCF of 1945,7713 is 1 .
LCM of 996,5788 is 1441212.
The greatest common factor of 1945/996,7713/5788 = [GCF of 1945,7713]/[LCM of 996,5788]= 1/1441212
Therefore, the GCF of 1945/996,7713/5788 is 1/1441212.
To find the highest common factor of 1945,7713, we have to find the factors of both numbers and list the highest common factor.
The factors of 1945 are 1, 5, 389, 1945
The factors of 7713 are 1, 3, 9, 857, 2571, 7713
The HCF of 1945,7713 is 1.
Lets's calculate GCF of 1945,7713
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1945,7713 By Matching Biggest Common Factor Method
Now, list down the factors of 1945
:1,5,389,1945
Now, list down the factors of 7713
:1,3,9,857,2571,7713
Greatest Common Factor
We found the factors 1945,7713 . The biggest common factor number is the GCF number.
So the greatest common factor 1945,7713 is 1.
Lets's calculate LCM of 996,5788
| 2 | 996, 5788 |
| 2 | 498, 2894 |
| 249, 1447 |
∴ So the LCM of the given numbers is 2 x 2 x 249 x 1447 = 1441212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1441212
Therefore, the GCF of Fractions 1945/996,7713/5788 is 1/1441212
Least Common Multiple of 996,5788 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 996,5788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,5788) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(996,5788) x common factors =4 x 1 = 4
LCM(996,5788) = ( 996 × 5788 ) / 4
LCM(996,5788) = 5764848 / 4
LCM(996,5788) = 1441212
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FAQs on GCF of Fractions of 1945/996, 7713/5788
1. What is the HCF of 1945,7713?
The HCF of 1945,7713 is 1
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 1945/996, 7713/5788?
Answer: GCF of Numerators as per given numbers 1945/996, 7713/5788 is
GCF of Numerators i.e. for 1945,7713 is 1
LCM of denominators i.e. for 996,5788 is 1441212.
Thus, GCF of Fractions is 1/1441212.Finally, GCF of Fractions for 1945/996, 7713/5788 is 1/1441212.