GCF of 552/103, 390/927
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 552/103, 390/927 i.e 6/927 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/103, 390/927.
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 552/103,390/927?
Given fractions are 552/103,390/927
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 552/103,390/927, numerators are 552,390
Denominators are 103,927
The GCF of 552,390 is 6 .
LCM of 103,927 is 927.
The greatest common factor of 552/103,390/927 = [GCF of 552,390]/[LCM of 103,927]= 6/927
Therefore, the GCF of 552/103,390/927 is 6/927.
To find the highest common factor of 552,390, 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 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
The HCF of 552,390 is 6.
Lets's calculate GCF of 552,390
| 2 | 552, 390 |
| 3 | 276, 195 |
| 92, 65 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 552,390 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 390
:1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 552,390 . The biggest common factor number is the GCF number.
So the greatest common factor 552,390 is 6.
Lets's calculate LCM of 103,927
| 103 | 103, 927 |
| 1, 9 |
∴ So the LCM of the given numbers is 103 x 1 x 9 = 927
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/927
Therefore, the GCF of Fractions 552/103,390/927 is 6/927
Least Common Multiple of 103,927 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 103,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,927) = 103
common factors(in case of two or more numbers have common factors) = 1
GCF(103,927) x common factors =103 x 1 = 103
LCM(103,927) = ( 103 × 927 ) / 103
LCM(103,927) = 95481 / 103
LCM(103,927) = 927
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FAQs on GCF of Fractions of 552/103, 390/927
1. What is the HCF of 552,390?
The HCF of 552,390 is 6
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 552/103, 390/927?
Answer: GCF of Numerators as per given numbers 552/103, 390/927 is
GCF of Numerators i.e. for 552,390 is 6
LCM of denominators i.e. for 103,927 is 927.
Thus, GCF of Fractions is 6/927.Finally, GCF of Fractions for 552/103, 390/927 is 6/927.