GCF of 292/918, 927/753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 292/918, 927/753 i.e 1/230418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 292/918, 927/753.
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 292/918,927/753?
Given fractions are 292/918,927/753
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 292/918,927/753, numerators are 292,927
Denominators are 918,753
The GCF of 292,927 is 1 .
LCM of 918,753 is 230418.
The greatest common factor of 292/918,927/753 = [GCF of 292,927]/[LCM of 918,753]= 1/230418
Therefore, the GCF of 292/918,927/753 is 1/230418.
To find the highest common factor of 292,927, we have to find the factors of both numbers and list the highest common factor.
The factors of 292 are 1, 2, 4, 73, 146, 292
The factors of 927 are 1, 3, 9, 103, 309, 927
The HCF of 292,927 is 1.
Lets's calculate GCF of 292,927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 292,927 By Matching Biggest Common Factor Method
Now, list down the factors of 292
:1,2,4,73,146,292
Now, list down the factors of 927
:1,3,9,103,309,927
Greatest Common Factor
We found the factors 292,927 . The biggest common factor number is the GCF number.
So the greatest common factor 292,927 is 1.
Lets's calculate LCM of 918,753
| 3 | 918, 753 |
| 306, 251 |
∴ So the LCM of the given numbers is 3 x 306 x 251 = 230418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230418
Therefore, the GCF of Fractions 292/918,927/753 is 1/230418
Least Common Multiple of 918,753 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 918,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,753) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(918,753) x common factors =3 x 1 = 3
LCM(918,753) = ( 918 × 753 ) / 3
LCM(918,753) = 691254 / 3
LCM(918,753) = 230418
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FAQs on GCF of Fractions of 292/918, 927/753
1. What is the HCF of 292,927?
The HCF of 292,927 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 292/918, 927/753?
Answer: GCF of Numerators as per given numbers 292/918, 927/753 is
GCF of Numerators i.e. for 292,927 is 1
LCM of denominators i.e. for 918,753 is 230418.
Thus, GCF of Fractions is 1/230418.Finally, GCF of Fractions for 292/918, 927/753 is 1/230418.