GCF of 939/77, 762/12, 743/54
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 939/77, 762/12, 743/54 i.e 1/8316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 939/77, 762/12, 743/54.
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 939/77,762/12,743/54?
Given fractions are 939/77,762/12,743/54
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 939/77,762/12,743/54, numerators are 939,762,743
Denominators are 77,12,54
The GCF of 939,762,743 is 1 .
LCM of 77,12,54 is 8316.
The greatest common factor of 939/77,762/12,743/54 = [GCF of 939,762,743]/[LCM of 77,12,54]= 1/8316
Therefore, the GCF of 939/77,762/12,743/54 is 1/8316.
To find the highest common factor of 939,762,743, we have to find the factors of both numbers and list the highest common factor.
The factors of 939 are 1, 3, 313, 939
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The factors of 743 are 1, 743
The HCF of 939,762,743 is 1.
Lets's calculate GCF of 939,762,743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 939,762,743 By Matching Biggest Common Factor Method
Now, list down the factors of 939
:1,3,313,939
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Now, list down the factors of 743
:1,743
Greatest Common Factor
We found the factors 939,762,743 . The biggest common factor number is the GCF number.
So the greatest common factor 939,762,743 is 1.
Lets's calculate LCM of 77,12,54
| 2 | 77, 12, 54 |
| 3 | 77, 6, 27 |
| 77, 2, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 77 x 2 x 9 = 8316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8316
Therefore, the GCF of Fractions 939/77,762/12,743/54 is 1/8316
Least Common Multiple of 77,12,54 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 77,12,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,12,54) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(77,12,54) x common factors =1 x 6 = 6
LCM(77,12,54) = ( 77 × 12 × 54 ) / 6
LCM(77,12,54) = 49896 / 6
LCM(77,12,54) = 8316
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FAQs on GCF of Fractions of 939/77, 762/12, 743/54
1. What is the HCF of 939,762,743?
The HCF of 939,762,743 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 939/77, 762/12, 743/54?
Answer: GCF of Numerators as per given numbers 939/77, 762/12, 743/54 is
GCF of Numerators i.e. for 939,762,743 is 1
LCM of denominators i.e. for 77,12,54 is 8316.
Thus, GCF of Fractions is 1/8316.Finally, GCF of Fractions for 939/77, 762/12, 743/54 is 1/8316.