GCF of 36/701, 63/474, 766/977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/701, 63/474, 766/977 i.e 1/324631698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/701, 63/474, 766/977.
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 36/701,63/474,766/977?
Given fractions are 36/701,63/474,766/977
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 36/701,63/474,766/977, numerators are 36,63,766
Denominators are 701,474,977
The GCF of 36,63,766 is 1 .
LCM of 701,474,977 is 324631698.
The greatest common factor of 36/701,63/474,766/977 = [GCF of 36,63,766]/[LCM of 701,474,977]= 1/324631698
Therefore, the GCF of 36/701,63/474,766/977 is 1/324631698.
To find the highest common factor of 36,63,766, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 766 are 1, 2, 383, 766
The HCF of 36,63,766 is 1.
Lets's calculate GCF of 36,63,766
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 36,63,766 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 766
:1,2,383,766
Greatest Common Factor
We found the factors 36,63,766 . The biggest common factor number is the GCF number.
So the greatest common factor 36,63,766 is 1.
Lets's calculate LCM of 701,474,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 324631698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324631698
Therefore, the GCF of Fractions 36/701,63/474,766/977 is 1/324631698
Least Common Multiple of 701,474,977 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 701,474,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,474,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,474,977) x common factors =1 x 1 = 1
LCM(701,474,977) = ( 701 × 474 × 977 ) / 1
LCM(701,474,977) = 324631698 / 1
LCM(701,474,977) = 324631698
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FAQs on GCF of Fractions of 36/701, 63/474, 766/977
1. What is the HCF of 36,63,766?
The HCF of 36,63,766 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 36/701, 63/474, 766/977?
Answer: GCF of Numerators as per given numbers 36/701, 63/474, 766/977 is
GCF of Numerators i.e. for 36,63,766 is 1
LCM of denominators i.e. for 701,474,977 is 324631698.
Thus, GCF of Fractions is 1/324631698.Finally, GCF of Fractions for 36/701, 63/474, 766/977 is 1/324631698.