GCF of 542/927, 876/941
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 542/927, 876/941 i.e 2/872307 easily. The following is the detailed procedure to determine the greatest common factor of fractions 542/927, 876/941.
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 542/927,876/941?
Given fractions are 542/927,876/941
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 542/927,876/941, numerators are 542,876
Denominators are 927,941
The GCF of 542,876 is 2 .
LCM of 927,941 is 872307.
The greatest common factor of 542/927,876/941 = [GCF of 542,876]/[LCM of 927,941]= 2/872307
Therefore, the GCF of 542/927,876/941 is 2/872307.
To find the highest common factor of 542,876, we have to find the factors of both numbers and list the highest common factor.
The factors of 542 are 1, 2, 271, 542
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The HCF of 542,876 is 2.
Lets's calculate GCF of 542,876
| 2 | 542, 876 |
| 271, 438 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 542,876 By Matching Biggest Common Factor Method
Now, list down the factors of 542
:1,2,271,542
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 542,876 . The biggest common factor number is the GCF number.
So the greatest common factor 542,876 is 2.
Lets's calculate LCM of 927,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 872307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/872307
Therefore, the GCF of Fractions 542/927,876/941 is 2/872307
Least Common Multiple of 927,941 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 927,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,941) x common factors =1 x 1 = 1
LCM(927,941) = ( 927 × 941 ) / 1
LCM(927,941) = 872307 / 1
LCM(927,941) = 872307
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FAQs on GCF of Fractions of 542/927, 876/941
1. What is the HCF of 542,876?
The HCF of 542,876 is 2
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 542/927, 876/941?
Answer: GCF of Numerators as per given numbers 542/927, 876/941 is
GCF of Numerators i.e. for 542,876 is 2
LCM of denominators i.e. for 927,941 is 872307.
Thus, GCF of Fractions is 2/872307.Finally, GCF of Fractions for 542/927, 876/941 is 2/872307.