GCF of 7758/777, 5169/2849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7758/777, 5169/2849 i.e 3/8547 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7758/777, 5169/2849.
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 7758/777,5169/2849?
Given fractions are 7758/777,5169/2849
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 7758/777,5169/2849, numerators are 7758,5169
Denominators are 777,2849
The GCF of 7758,5169 is 3 .
LCM of 777,2849 is 8547.
The greatest common factor of 7758/777,5169/2849 = [GCF of 7758,5169]/[LCM of 777,2849]= 3/8547
Therefore, the GCF of 7758/777,5169/2849 is 3/8547.
To find the highest common factor of 7758,5169, we have to find the factors of both numbers and list the highest common factor.
The factors of 7758 are 1, 2, 3, 6, 9, 18, 431, 862, 1293, 2586, 3879, 7758
The factors of 5169 are 1, 3, 1723, 5169
The HCF of 7758,5169 is 3.
Lets's calculate GCF of 7758,5169
| 3 | 7758, 5169 |
| 2586, 1723 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7758,5169 By Matching Biggest Common Factor Method
Now, list down the factors of 7758
:1,2,3,6,9,18,431,862,1293,2586,3879,7758
Now, list down the factors of 5169
:1,3,1723,5169
Greatest Common Factor
We found the factors 7758,5169 . The biggest common factor number is the GCF number.
So the greatest common factor 7758,5169 is 3.
Lets's calculate LCM of 777,2849
| 7 | 777, 2849 |
| 37 | 111, 407 |
| 3, 11 |
∴ So the LCM of the given numbers is 7 x 37 x 3 x 11 = 8547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8547
Therefore, the GCF of Fractions 7758/777,5169/2849 is 3/8547
Least Common Multiple of 777,2849 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 777,2849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,2849) = 259
common factors(in case of two or more numbers have common factors) = 1
GCF(777,2849) x common factors =259 x 1 = 259
LCM(777,2849) = ( 777 × 2849 ) / 259
LCM(777,2849) = 2213673 / 259
LCM(777,2849) = 8547
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FAQs on GCF of Fractions of 7758/777, 5169/2849
1. What is the HCF of 7758,5169?
The HCF of 7758,5169 is 3
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 7758/777, 5169/2849?
Answer: GCF of Numerators as per given numbers 7758/777, 5169/2849 is
GCF of Numerators i.e. for 7758,5169 is 3
LCM of denominators i.e. for 777,2849 is 8547.
Thus, GCF of Fractions is 3/8547.Finally, GCF of Fractions for 7758/777, 5169/2849 is 3/8547.