GCF of 379/20, 535/49, 711/40
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 379/20, 535/49, 711/40 i.e 1/1960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 379/20, 535/49, 711/40.
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 379/20,535/49,711/40?
Given fractions are 379/20,535/49,711/40
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 379/20,535/49,711/40, numerators are 379,535,711
Denominators are 20,49,40
The GCF of 379,535,711 is 1 .
LCM of 20,49,40 is 1960.
The greatest common factor of 379/20,535/49,711/40 = [GCF of 379,535,711]/[LCM of 20,49,40]= 1/1960
Therefore, the GCF of 379/20,535/49,711/40 is 1/1960.
To find the highest common factor of 379,535,711, we have to find the factors of both numbers and list the highest common factor.
The factors of 379 are 1, 379
The factors of 535 are 1, 5, 107, 535
The factors of 711 are 1, 3, 9, 79, 237, 711
The HCF of 379,535,711 is 1.
Lets's calculate GCF of 379,535,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 379,535,711 By Matching Biggest Common Factor Method
Now, list down the factors of 379
:1,379
Now, list down the factors of 535
:1,5,107,535
Now, list down the factors of 711
:1,3,9,79,237,711
Greatest Common Factor
We found the factors 379,535,711 . The biggest common factor number is the GCF number.
So the greatest common factor 379,535,711 is 1.
Lets's calculate LCM of 20,49,40
| 2 | 20, 49, 40 |
| 2 | 10, 49, 20 |
| 5 | 5, 49, 10 |
| 1, 49, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 49 x 2 = 1960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1960
Therefore, the GCF of Fractions 379/20,535/49,711/40 is 1/1960
Least Common Multiple of 20,49,40 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 20,49,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,49,40) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(20,49,40) x common factors =1 x 20 = 20
LCM(20,49,40) = ( 20 × 49 × 40 ) / 20
LCM(20,49,40) = 39200 / 20
LCM(20,49,40) = 1960
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FAQs on GCF of Fractions of 379/20, 535/49, 711/40
1. What is the HCF of 379,535,711?
The HCF of 379,535,711 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 379/20, 535/49, 711/40?
Answer: GCF of Numerators as per given numbers 379/20, 535/49, 711/40 is
GCF of Numerators i.e. for 379,535,711 is 1
LCM of denominators i.e. for 20,49,40 is 1960.
Thus, GCF of Fractions is 1/1960.Finally, GCF of Fractions for 379/20, 535/49, 711/40 is 1/1960.