GCF of 7851/275, 5892/2461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7851/275, 5892/2461 i.e 3/676775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7851/275, 5892/2461.
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 7851/275,5892/2461?
Given fractions are 7851/275,5892/2461
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 7851/275,5892/2461, numerators are 7851,5892
Denominators are 275,2461
The GCF of 7851,5892 is 3 .
LCM of 275,2461 is 676775.
The greatest common factor of 7851/275,5892/2461 = [GCF of 7851,5892]/[LCM of 275,2461]= 3/676775
Therefore, the GCF of 7851/275,5892/2461 is 3/676775.
To find the highest common factor of 7851,5892, we have to find the factors of both numbers and list the highest common factor.
The factors of 7851 are 1, 3, 2617, 7851
The factors of 5892 are 1, 2, 3, 4, 6, 12, 491, 982, 1473, 1964, 2946, 5892
The HCF of 7851,5892 is 3.
Lets's calculate GCF of 7851,5892
| 3 | 7851, 5892 |
| 2617, 1964 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7851,5892 By Matching Biggest Common Factor Method
Now, list down the factors of 7851
:1,3,2617,7851
Now, list down the factors of 5892
:1,2,3,4,6,12,491,982,1473,1964,2946,5892
Greatest Common Factor
We found the factors 7851,5892 . The biggest common factor number is the GCF number.
So the greatest common factor 7851,5892 is 3.
Lets's calculate LCM of 275,2461
Given numbers has no common factors except 1. So, there LCM is their product i.e 676775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/676775
Therefore, the GCF of Fractions 7851/275,5892/2461 is 3/676775
Least Common Multiple of 275,2461 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 275,2461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,2461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(275,2461) x common factors =1 x 1 = 1
LCM(275,2461) = ( 275 × 2461 ) / 1
LCM(275,2461) = 676775 / 1
LCM(275,2461) = 676775
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FAQs on GCF of Fractions of 7851/275, 5892/2461
1. What is the HCF of 7851,5892?
The HCF of 7851,5892 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 7851/275, 5892/2461?
Answer: GCF of Numerators as per given numbers 7851/275, 5892/2461 is
GCF of Numerators i.e. for 7851,5892 is 3
LCM of denominators i.e. for 275,2461 is 676775.
Thus, GCF of Fractions is 3/676775.Finally, GCF of Fractions for 7851/275, 5892/2461 is 3/676775.