GCF of 5527/203, 6548/448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5527/203, 6548/448 i.e 1/12992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5527/203, 6548/448.
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 5527/203,6548/448?
Given fractions are 5527/203,6548/448
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 5527/203,6548/448, numerators are 5527,6548
Denominators are 203,448
The GCF of 5527,6548 is 1 .
LCM of 203,448 is 12992.
The greatest common factor of 5527/203,6548/448 = [GCF of 5527,6548]/[LCM of 203,448]= 1/12992
Therefore, the GCF of 5527/203,6548/448 is 1/12992.
To find the highest common factor of 5527,6548, we have to find the factors of both numbers and list the highest common factor.
The factors of 5527 are 1, 5527
The factors of 6548 are 1, 2, 4, 1637, 3274, 6548
The HCF of 5527,6548 is 1.
Lets's calculate GCF of 5527,6548
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5527,6548 By Matching Biggest Common Factor Method
Now, list down the factors of 5527
:1,5527
Now, list down the factors of 6548
:1,2,4,1637,3274,6548
Greatest Common Factor
We found the factors 5527,6548 . The biggest common factor number is the GCF number.
So the greatest common factor 5527,6548 is 1.
Lets's calculate LCM of 203,448
| 7 | 203, 448 |
| 29, 64 |
∴ So the LCM of the given numbers is 7 x 29 x 64 = 12992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12992
Therefore, the GCF of Fractions 5527/203,6548/448 is 1/12992
Least Common Multiple of 203,448 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 203,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,448) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(203,448) x common factors =7 x 1 = 7
LCM(203,448) = ( 203 × 448 ) / 7
LCM(203,448) = 90944 / 7
LCM(203,448) = 12992
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FAQs on GCF of Fractions of 5527/203, 6548/448
1. What is the HCF of 5527,6548?
The HCF of 5527,6548 is 1
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 5527/203, 6548/448?
Answer: GCF of Numerators as per given numbers 5527/203, 6548/448 is
GCF of Numerators i.e. for 5527,6548 is 1
LCM of denominators i.e. for 203,448 is 12992.
Thus, GCF of Fractions is 1/12992.Finally, GCF of Fractions for 5527/203, 6548/448 is 1/12992.