GCF of 27/55, 398/94, 632/371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 27/55, 398/94, 632/371 i.e 1/1918070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/55, 398/94, 632/371.
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 27/55,398/94,632/371?
Given fractions are 27/55,398/94,632/371
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 27/55,398/94,632/371, numerators are 27,398,632
Denominators are 55,94,371
The GCF of 27,398,632 is 1 .
LCM of 55,94,371 is 1918070.
The greatest common factor of 27/55,398/94,632/371 = [GCF of 27,398,632]/[LCM of 55,94,371]= 1/1918070
Therefore, the GCF of 27/55,398/94,632/371 is 1/1918070.
To find the highest common factor of 27,398,632, we have to find the factors of both numbers and list the highest common factor.
The factors of 27 are 1, 3, 9, 27
The factors of 398 are 1, 2, 199, 398
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632
The HCF of 27,398,632 is 1.
Lets's calculate GCF of 27,398,632
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 27,398,632 By Matching Biggest Common Factor Method
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 398
:1,2,199,398
Now, list down the factors of 632
:1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 27,398,632 . The biggest common factor number is the GCF number.
So the greatest common factor 27,398,632 is 1.
Lets's calculate LCM of 55,94,371
Given numbers has no common factors except 1. So, there LCM is their product i.e 1918070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1918070
Therefore, the GCF of Fractions 27/55,398/94,632/371 is 1/1918070
Least Common Multiple of 55,94,371 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 55,94,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,94,371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,94,371) x common factors =1 x 1 = 1
LCM(55,94,371) = ( 55 × 94 × 371 ) / 1
LCM(55,94,371) = 1918070 / 1
LCM(55,94,371) = 1918070
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FAQs on GCF of Fractions of 27/55, 398/94, 632/371
1. What is the HCF of 27,398,632?
The HCF of 27,398,632 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 27/55, 398/94, 632/371?
Answer: GCF of Numerators as per given numbers 27/55, 398/94, 632/371 is
GCF of Numerators i.e. for 27,398,632 is 1
LCM of denominators i.e. for 55,94,371 is 1918070.
Thus, GCF of Fractions is 1/1918070.Finally, GCF of Fractions for 27/55, 398/94, 632/371 is 1/1918070.