GCF of 7943/777, 5745/408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7943/777, 5745/408 i.e 1/105672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7943/777, 5745/408.
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 7943/777,5745/408?
Given fractions are 7943/777,5745/408
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 7943/777,5745/408, numerators are 7943,5745
Denominators are 777,408
The GCF of 7943,5745 is 1 .
LCM of 777,408 is 105672.
The greatest common factor of 7943/777,5745/408 = [GCF of 7943,5745]/[LCM of 777,408]= 1/105672
Therefore, the GCF of 7943/777,5745/408 is 1/105672.
To find the highest common factor of 7943,5745, we have to find the factors of both numbers and list the highest common factor.
The factors of 7943 are 1, 13, 47, 169, 611, 7943
The factors of 5745 are 1, 3, 5, 15, 383, 1149, 1915, 5745
The HCF of 7943,5745 is 1.
Lets's calculate GCF of 7943,5745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7943,5745 By Matching Biggest Common Factor Method
Now, list down the factors of 7943
:1,13,47,169,611,7943
Now, list down the factors of 5745
:1,3,5,15,383,1149,1915,5745
Greatest Common Factor
We found the factors 7943,5745 . The biggest common factor number is the GCF number.
So the greatest common factor 7943,5745 is 1.
Lets's calculate LCM of 777,408
| 3 | 777, 408 |
| 259, 136 |
∴ So the LCM of the given numbers is 3 x 259 x 136 = 105672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105672
Therefore, the GCF of Fractions 7943/777,5745/408 is 1/105672
Least Common Multiple of 777,408 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 777,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,408) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(777,408) x common factors =3 x 1 = 3
LCM(777,408) = ( 777 × 408 ) / 3
LCM(777,408) = 317016 / 3
LCM(777,408) = 105672
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FAQs on GCF of Fractions of 7943/777, 5745/408
1. What is the HCF of 7943,5745?
The HCF of 7943,5745 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 7943/777, 5745/408?
Answer: GCF of Numerators as per given numbers 7943/777, 5745/408 is
GCF of Numerators i.e. for 7943,5745 is 1
LCM of denominators i.e. for 777,408 is 105672.
Thus, GCF of Fractions is 1/105672.Finally, GCF of Fractions for 7943/777, 5745/408 is 1/105672.