GCF of 54/214, 117/567, 636/730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 54/214, 117/567, 636/730 i.e 3/44288370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/214, 117/567, 636/730.
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 54/214,117/567,636/730?
Given fractions are 54/214,117/567,636/730
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 54/214,117/567,636/730, numerators are 54,117,636
Denominators are 214,567,730
The GCF of 54,117,636 is 3 .
LCM of 214,567,730 is 44288370.
The greatest common factor of 54/214,117/567,636/730 = [GCF of 54,117,636]/[LCM of 214,567,730]= 3/44288370
Therefore, the GCF of 54/214,117/567,636/730 is 3/44288370.
To find the highest common factor of 54,117,636, we have to find the factors of both numbers and list the highest common factor.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 117 are 1, 3, 9, 13, 39, 117
The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
The HCF of 54,117,636 is 3.
Lets's calculate GCF of 54,117,636
| 3 | 54, 117, 636 |
| 18, 39, 212 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 54,117,636 By Matching Biggest Common Factor Method
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 117
:1,3,9,13,39,117
Now, list down the factors of 636
:1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 54,117,636 . The biggest common factor number is the GCF number.
So the greatest common factor 54,117,636 is 3.
Lets's calculate LCM of 214,567,730
| 2 | 214, 567, 730 |
| 107, 567, 365 |
∴ So the LCM of the given numbers is 2 x 107 x 567 x 365 = 44288370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/44288370
Therefore, the GCF of Fractions 54/214,117/567,636/730 is 3/44288370
Least Common Multiple of 214,567,730 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 214,567,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,567,730) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(214,567,730) x common factors =1 x 2 = 2
LCM(214,567,730) = ( 214 × 567 × 730 ) / 2
LCM(214,567,730) = 88576740 / 2
LCM(214,567,730) = 44288370
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FAQs on GCF of Fractions of 54/214, 117/567, 636/730
1. What is the HCF of 54,117,636?
The HCF of 54,117,636 is 3
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 54/214, 117/567, 636/730?
Answer: GCF of Numerators as per given numbers 54/214, 117/567, 636/730 is
GCF of Numerators i.e. for 54,117,636 is 3
LCM of denominators i.e. for 214,567,730 is 44288370.
Thus, GCF of Fractions is 3/44288370.Finally, GCF of Fractions for 54/214, 117/567, 636/730 is 3/44288370.