GCF of 6522/287, 2775/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6522/287, 2775/396 i.e 3/113652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6522/287, 2775/396.
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 6522/287,2775/396?
Given fractions are 6522/287,2775/396
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 6522/287,2775/396, numerators are 6522,2775
Denominators are 287,396
The GCF of 6522,2775 is 3 .
LCM of 287,396 is 113652.
The greatest common factor of 6522/287,2775/396 = [GCF of 6522,2775]/[LCM of 287,396]= 3/113652
Therefore, the GCF of 6522/287,2775/396 is 3/113652.
To find the highest common factor of 6522,2775, we have to find the factors of both numbers and list the highest common factor.
The factors of 6522 are 1, 2, 3, 6, 1087, 2174, 3261, 6522
The factors of 2775 are 1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775
The HCF of 6522,2775 is 3.
Lets's calculate GCF of 6522,2775
| 3 | 6522, 2775 |
| 2174, 925 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6522,2775 By Matching Biggest Common Factor Method
Now, list down the factors of 6522
:1,2,3,6,1087,2174,3261,6522
Now, list down the factors of 2775
:1,3,5,15,25,37,75,111,185,555,925,2775
Greatest Common Factor
We found the factors 6522,2775 . The biggest common factor number is the GCF number.
So the greatest common factor 6522,2775 is 3.
Lets's calculate LCM of 287,396
Given numbers has no common factors except 1. So, there LCM is their product i.e 113652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/113652
Therefore, the GCF of Fractions 6522/287,2775/396 is 3/113652
Least Common Multiple of 287,396 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 287,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,396) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,396) x common factors =1 x 1 = 1
LCM(287,396) = ( 287 × 396 ) / 1
LCM(287,396) = 113652 / 1
LCM(287,396) = 113652
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FAQs on GCF of Fractions of 6522/287, 2775/396
1. What is the HCF of 6522,2775?
The HCF of 6522,2775 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 6522/287, 2775/396?
Answer: GCF of Numerators as per given numbers 6522/287, 2775/396 is
GCF of Numerators i.e. for 6522,2775 is 3
LCM of denominators i.e. for 287,396 is 113652.
Thus, GCF of Fractions is 3/113652.Finally, GCF of Fractions for 6522/287, 2775/396 is 3/113652.