GCF of 7773/823, 5754/2975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7773/823, 5754/2975 i.e 3/2448425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7773/823, 5754/2975.
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 7773/823,5754/2975?
Given fractions are 7773/823,5754/2975
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 7773/823,5754/2975, numerators are 7773,5754
Denominators are 823,2975
The GCF of 7773,5754 is 3 .
LCM of 823,2975 is 2448425.
The greatest common factor of 7773/823,5754/2975 = [GCF of 7773,5754]/[LCM of 823,2975]= 3/2448425
Therefore, the GCF of 7773/823,5754/2975 is 3/2448425.
To find the highest common factor of 7773,5754, we have to find the factors of both numbers and list the highest common factor.
The factors of 7773 are 1, 3, 2591, 7773
The factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754
The HCF of 7773,5754 is 3.
Lets's calculate GCF of 7773,5754
| 3 | 7773, 5754 |
| 2591, 1918 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7773,5754 By Matching Biggest Common Factor Method
Now, list down the factors of 7773
:1,3,2591,7773
Now, list down the factors of 5754
:1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754
Greatest Common Factor
We found the factors 7773,5754 . The biggest common factor number is the GCF number.
So the greatest common factor 7773,5754 is 3.
Lets's calculate LCM of 823,2975
Given numbers has no common factors except 1. So, there LCM is their product i.e 2448425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2448425
Therefore, the GCF of Fractions 7773/823,5754/2975 is 3/2448425
Least Common Multiple of 823,2975 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 823,2975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,2975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,2975) x common factors =1 x 1 = 1
LCM(823,2975) = ( 823 × 2975 ) / 1
LCM(823,2975) = 2448425 / 1
LCM(823,2975) = 2448425
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FAQs on GCF of Fractions of 7773/823, 5754/2975
1. What is the HCF of 7773,5754?
The HCF of 7773,5754 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 7773/823, 5754/2975?
Answer: GCF of Numerators as per given numbers 7773/823, 5754/2975 is
GCF of Numerators i.e. for 7773,5754 is 3
LCM of denominators i.e. for 823,2975 is 2448425.
Thus, GCF of Fractions is 3/2448425.Finally, GCF of Fractions for 7773/823, 5754/2975 is 3/2448425.