GCF of 552/83, 584/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 552/83, 584/135 i.e 8/11205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/83, 584/135.
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 552/83,584/135?
Given fractions are 552/83,584/135
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 552/83,584/135, numerators are 552,584
Denominators are 83,135
The GCF of 552,584 is 8 .
LCM of 83,135 is 11205.
The greatest common factor of 552/83,584/135 = [GCF of 552,584]/[LCM of 83,135]= 8/11205
Therefore, the GCF of 552/83,584/135 is 8/11205.
To find the highest common factor of 552,584, we have to find the factors of both numbers and list the highest common factor.
The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584
The HCF of 552,584 is 8.
Lets's calculate GCF of 552,584
| 2 | 552, 584 |
| 2 | 276, 292 |
| 2 | 138, 146 |
| 69, 73 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 552,584 By Matching Biggest Common Factor Method
Now, list down the factors of 552
:1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Now, list down the factors of 584
:1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 552,584 . The biggest common factor number is the GCF number.
So the greatest common factor 552,584 is 8.
Lets's calculate LCM of 83,135
Given numbers has no common factors except 1. So, there LCM is their product i.e 11205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/11205
Therefore, the GCF of Fractions 552/83,584/135 is 8/11205
Least Common Multiple of 83,135 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 83,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,135) x common factors =1 x 1 = 1
LCM(83,135) = ( 83 × 135 ) / 1
LCM(83,135) = 11205 / 1
LCM(83,135) = 11205
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FAQs on GCF of Fractions of 552/83, 584/135
1. What is the HCF of 552,584?
The HCF of 552,584 is 8
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 552/83, 584/135?
Answer: GCF of Numerators as per given numbers 552/83, 584/135 is
GCF of Numerators i.e. for 552,584 is 8
LCM of denominators i.e. for 83,135 is 11205.
Thus, GCF of Fractions is 8/11205.Finally, GCF of Fractions for 552/83, 584/135 is 8/11205.