GCF of 701/75, 764/46, 746/14
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 701/75, 764/46, 746/14 i.e 1/24150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 701/75, 764/46, 746/14.
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 701/75,764/46,746/14?
Given fractions are 701/75,764/46,746/14
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 701/75,764/46,746/14, numerators are 701,764,746
Denominators are 75,46,14
The GCF of 701,764,746 is 1 .
LCM of 75,46,14 is 24150.
The greatest common factor of 701/75,764/46,746/14 = [GCF of 701,764,746]/[LCM of 75,46,14]= 1/24150
Therefore, the GCF of 701/75,764/46,746/14 is 1/24150.
To find the highest common factor of 701,764,746, we have to find the factors of both numbers and list the highest common factor.
The factors of 701 are 1, 701
The factors of 764 are 1, 2, 4, 191, 382, 764
The factors of 746 are 1, 2, 373, 746
The HCF of 701,764,746 is 1.
Lets's calculate GCF of 701,764,746
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 701,764,746 By Matching Biggest Common Factor Method
Now, list down the factors of 701
:1,701
Now, list down the factors of 764
:1,2,4,191,382,764
Now, list down the factors of 746
:1,2,373,746
Greatest Common Factor
We found the factors 701,764,746 . The biggest common factor number is the GCF number.
So the greatest common factor 701,764,746 is 1.
Lets's calculate LCM of 75,46,14
| 2 | 75, 46, 14 |
| 75, 23, 7 |
∴ So the LCM of the given numbers is 2 x 75 x 23 x 7 = 24150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24150
Therefore, the GCF of Fractions 701/75,764/46,746/14 is 1/24150
Least Common Multiple of 75,46,14 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 75,46,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,46,14) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(75,46,14) x common factors =1 x 2 = 2
LCM(75,46,14) = ( 75 × 46 × 14 ) / 2
LCM(75,46,14) = 48300 / 2
LCM(75,46,14) = 24150
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FAQs on GCF of Fractions of 701/75, 764/46, 746/14
1. What is the HCF of 701,764,746?
The HCF of 701,764,746 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 701/75, 764/46, 746/14?
Answer: GCF of Numerators as per given numbers 701/75, 764/46, 746/14 is
GCF of Numerators i.e. for 701,764,746 is 1
LCM of denominators i.e. for 75,46,14 is 24150.
Thus, GCF of Fractions is 1/24150.Finally, GCF of Fractions for 701/75, 764/46, 746/14 is 1/24150.