GCF of 6276/189, 5254/4720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6276/189, 5254/4720 i.e 2/892080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6276/189, 5254/4720.
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 6276/189,5254/4720?
Given fractions are 6276/189,5254/4720
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 6276/189,5254/4720, numerators are 6276,5254
Denominators are 189,4720
The GCF of 6276,5254 is 2 .
LCM of 189,4720 is 892080.
The greatest common factor of 6276/189,5254/4720 = [GCF of 6276,5254]/[LCM of 189,4720]= 2/892080
Therefore, the GCF of 6276/189,5254/4720 is 2/892080.
To find the highest common factor of 6276,5254, we have to find the factors of both numbers and list the highest common factor.
The factors of 6276 are 1, 2, 3, 4, 6, 12, 523, 1046, 1569, 2092, 3138, 6276
The factors of 5254 are 1, 2, 37, 71, 74, 142, 2627, 5254
The HCF of 6276,5254 is 2.
Lets's calculate GCF of 6276,5254
| 2 | 6276, 5254 |
| 3138, 2627 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6276,5254 By Matching Biggest Common Factor Method
Now, list down the factors of 6276
:1,2,3,4,6,12,523,1046,1569,2092,3138,6276
Now, list down the factors of 5254
:1,2,37,71,74,142,2627,5254
Greatest Common Factor
We found the factors 6276,5254 . The biggest common factor number is the GCF number.
So the greatest common factor 6276,5254 is 2.
Lets's calculate LCM of 189,4720
Given numbers has no common factors except 1. So, there LCM is their product i.e 892080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/892080
Therefore, the GCF of Fractions 6276/189,5254/4720 is 2/892080
Least Common Multiple of 189,4720 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 189,4720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,4720) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,4720) x common factors =1 x 1 = 1
LCM(189,4720) = ( 189 × 4720 ) / 1
LCM(189,4720) = 892080 / 1
LCM(189,4720) = 892080
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FAQs on GCF of Fractions of 6276/189, 5254/4720
1. What is the HCF of 6276,5254?
The HCF of 6276,5254 is 2
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 6276/189, 5254/4720?
Answer: GCF of Numerators as per given numbers 6276/189, 5254/4720 is
GCF of Numerators i.e. for 6276,5254 is 2
LCM of denominators i.e. for 189,4720 is 892080.
Thus, GCF of Fractions is 2/892080.Finally, GCF of Fractions for 6276/189, 5254/4720 is 2/892080.