GCF of 77/36, 973/51, 758/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 77/36, 973/51, 758/741 i.e 1/151164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/36, 973/51, 758/741.
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 77/36,973/51,758/741?
Given fractions are 77/36,973/51,758/741
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 77/36,973/51,758/741, numerators are 77,973,758
Denominators are 36,51,741
The GCF of 77,973,758 is 1 .
LCM of 36,51,741 is 151164.
The greatest common factor of 77/36,973/51,758/741 = [GCF of 77,973,758]/[LCM of 36,51,741]= 1/151164
Therefore, the GCF of 77/36,973/51,758/741 is 1/151164.
To find the highest common factor of 77,973,758, we have to find the factors of both numbers and list the highest common factor.
The factors of 77 are 1, 7, 11, 77
The factors of 973 are 1, 7, 139, 973
The factors of 758 are 1, 2, 379, 758
The HCF of 77,973,758 is 1.
Lets's calculate GCF of 77,973,758
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 77,973,758 By Matching Biggest Common Factor Method
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 973
:1,7,139,973
Now, list down the factors of 758
:1,2,379,758
Greatest Common Factor
We found the factors 77,973,758 . The biggest common factor number is the GCF number.
So the greatest common factor 77,973,758 is 1.
Lets's calculate LCM of 36,51,741
| 3 | 36, 51, 741 |
| 12, 17, 247 |
∴ So the LCM of the given numbers is 3 x 12 x 17 x 247 = 151164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151164
Therefore, the GCF of Fractions 77/36,973/51,758/741 is 1/151164
Least Common Multiple of 36,51,741 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 36,51,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,51,741) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(36,51,741) x common factors =3 x 3 = 9
LCM(36,51,741) = ( 36 × 51 × 741 ) / 9
LCM(36,51,741) = 1360476 / 9
LCM(36,51,741) = 151164
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FAQs on GCF of Fractions of 77/36, 973/51, 758/741
1. What is the HCF of 77,973,758?
The HCF of 77,973,758 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 77/36, 973/51, 758/741?
Answer: GCF of Numerators as per given numbers 77/36, 973/51, 758/741 is
GCF of Numerators i.e. for 77,973,758 is 1
LCM of denominators i.e. for 36,51,741 is 151164.
Thus, GCF of Fractions is 1/151164.Finally, GCF of Fractions for 77/36, 973/51, 758/741 is 1/151164.