GCF of 5548/212, 6476/576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5548/212, 6476/576 i.e 4/30528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5548/212, 6476/576.
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 5548/212,6476/576?
Given fractions are 5548/212,6476/576
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 5548/212,6476/576, numerators are 5548,6476
Denominators are 212,576
The GCF of 5548,6476 is 4 .
LCM of 212,576 is 30528.
The greatest common factor of 5548/212,6476/576 = [GCF of 5548,6476]/[LCM of 212,576]= 4/30528
Therefore, the GCF of 5548/212,6476/576 is 4/30528.
To find the highest common factor of 5548,6476, we have to find the factors of both numbers and list the highest common factor.
The factors of 5548 are 1, 2, 4, 19, 38, 73, 76, 146, 292, 1387, 2774, 5548
The factors of 6476 are 1, 2, 4, 1619, 3238, 6476
The HCF of 5548,6476 is 4.
Lets's calculate GCF of 5548,6476
| 2 | 5548, 6476 |
| 2 | 2774, 3238 |
| 1387, 1619 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5548,6476 By Matching Biggest Common Factor Method
Now, list down the factors of 5548
:1,2,4,19,38,73,76,146,292,1387,2774,5548
Now, list down the factors of 6476
:1,2,4,1619,3238,6476
Greatest Common Factor
We found the factors 5548,6476 . The biggest common factor number is the GCF number.
So the greatest common factor 5548,6476 is 4.
Lets's calculate LCM of 212,576
| 2 | 212, 576 |
| 2 | 106, 288 |
| 53, 144 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 144 = 30528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/30528
Therefore, the GCF of Fractions 5548/212,6476/576 is 4/30528
Least Common Multiple of 212,576 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 212,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,576) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(212,576) x common factors =4 x 1 = 4
LCM(212,576) = ( 212 × 576 ) / 4
LCM(212,576) = 122112 / 4
LCM(212,576) = 30528
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FAQs on GCF of Fractions of 5548/212, 6476/576
1. What is the HCF of 5548,6476?
The HCF of 5548,6476 is 4
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 5548/212, 6476/576?
Answer: GCF of Numerators as per given numbers 5548/212, 6476/576 is
GCF of Numerators i.e. for 5548,6476 is 4
LCM of denominators i.e. for 212,576 is 30528.
Thus, GCF of Fractions is 4/30528.Finally, GCF of Fractions for 5548/212, 6476/576 is 4/30528.