GCF of 552/975, 258/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 552/975, 258/320 i.e 6/62400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/975, 258/320.
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 552/975,258/320?
Given fractions are 552/975,258/320
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 552/975,258/320, numerators are 552,258
Denominators are 975,320
The GCF of 552,258 is 6 .
LCM of 975,320 is 62400.
The greatest common factor of 552/975,258/320 = [GCF of 552,258]/[LCM of 975,320]= 6/62400
Therefore, the GCF of 552/975,258/320 is 6/62400.
To find the highest common factor of 552,258, 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 258 are 1, 2, 3, 6, 43, 86, 129, 258
The HCF of 552,258 is 6.
Lets's calculate GCF of 552,258
| 2 | 552, 258 |
| 3 | 276, 129 |
| 92, 43 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 552,258 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 258
:1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 552,258 . The biggest common factor number is the GCF number.
So the greatest common factor 552,258 is 6.
Lets's calculate LCM of 975,320
| 5 | 975, 320 |
| 195, 64 |
∴ So the LCM of the given numbers is 5 x 195 x 64 = 62400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/62400
Therefore, the GCF of Fractions 552/975,258/320 is 6/62400
Least Common Multiple of 975,320 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 975,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,320) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(975,320) x common factors =5 x 1 = 5
LCM(975,320) = ( 975 × 320 ) / 5
LCM(975,320) = 312000 / 5
LCM(975,320) = 62400
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FAQs on GCF of Fractions of 552/975, 258/320
1. What is the HCF of 552,258?
The HCF of 552,258 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 552/975, 258/320?
Answer: GCF of Numerators as per given numbers 552/975, 258/320 is
GCF of Numerators i.e. for 552,258 is 6
LCM of denominators i.e. for 975,320 is 62400.
Thus, GCF of Fractions is 6/62400.Finally, GCF of Fractions for 552/975, 258/320 is 6/62400.