GCF of 77/54, 665/35, 112/797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 77/54, 665/35, 112/797 i.e 7/1506330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/54, 665/35, 112/797.
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 77/54,665/35,112/797?
Given fractions are 77/54,665/35,112/797
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 77/54,665/35,112/797, numerators are 77,665,112
Denominators are 54,35,797
The GCF of 77,665,112 is 7 .
LCM of 54,35,797 is 1506330.
The greatest common factor of 77/54,665/35,112/797 = [GCF of 77,665,112]/[LCM of 54,35,797]= 7/1506330
Therefore, the GCF of 77/54,665/35,112/797 is 7/1506330.
To find the highest common factor of 77,665,112, 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 665 are 1, 5, 7, 19, 35, 95, 133, 665
The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
The HCF of 77,665,112 is 7.
Lets's calculate GCF of 77,665,112
| 7 | 77, 665, 112 |
| 11, 95, 16 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 77,665,112 By Matching Biggest Common Factor Method
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 665
:1,5,7,19,35,95,133,665
Now, list down the factors of 112
:1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 77,665,112 . The biggest common factor number is the GCF number.
So the greatest common factor 77,665,112 is 7.
Lets's calculate LCM of 54,35,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 1506330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1506330
Therefore, the GCF of Fractions 77/54,665/35,112/797 is 7/1506330
Least Common Multiple of 54,35,797 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 54,35,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,35,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,35,797) x common factors =1 x 1 = 1
LCM(54,35,797) = ( 54 × 35 × 797 ) / 1
LCM(54,35,797) = 1506330 / 1
LCM(54,35,797) = 1506330
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FAQs on GCF of Fractions of 77/54, 665/35, 112/797
1. What is the HCF of 77,665,112?
The HCF of 77,665,112 is 7
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 77/54, 665/35, 112/797?
Answer: GCF of Numerators as per given numbers 77/54, 665/35, 112/797 is
GCF of Numerators i.e. for 77,665,112 is 7
LCM of denominators i.e. for 54,35,797 is 1506330.
Thus, GCF of Fractions is 7/1506330.Finally, GCF of Fractions for 77/54, 665/35, 112/797 is 7/1506330.