GCF of 439/749, 764/938, 120/193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 439/749, 764/938, 120/193 i.e 1/19370638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 439/749, 764/938, 120/193.
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 439/749,764/938,120/193?
Given fractions are 439/749,764/938,120/193
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 439/749,764/938,120/193, numerators are 439,764,120
Denominators are 749,938,193
The GCF of 439,764,120 is 1 .
LCM of 749,938,193 is 19370638.
The greatest common factor of 439/749,764/938,120/193 = [GCF of 439,764,120]/[LCM of 749,938,193]= 1/19370638
Therefore, the GCF of 439/749,764/938,120/193 is 1/19370638.
To find the highest common factor of 439,764,120, we have to find the factors of both numbers and list the highest common factor.
The factors of 439 are 1, 439
The factors of 764 are 1, 2, 4, 191, 382, 764
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The HCF of 439,764,120 is 1.
Lets's calculate GCF of 439,764,120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 439,764,120 By Matching Biggest Common Factor Method
Now, list down the factors of 439
:1,439
Now, list down the factors of 764
:1,2,4,191,382,764
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 439,764,120 . The biggest common factor number is the GCF number.
So the greatest common factor 439,764,120 is 1.
Lets's calculate LCM of 749,938,193
| 7 | 749, 938, 193 |
| 107, 134, 193 |
∴ So the LCM of the given numbers is 7 x 107 x 134 x 193 = 19370638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19370638
Therefore, the GCF of Fractions 439/749,764/938,120/193 is 1/19370638
Least Common Multiple of 749,938,193 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 749,938,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,938,193) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(749,938,193) x common factors =1 x 7 = 7
LCM(749,938,193) = ( 749 × 938 × 193 ) / 7
LCM(749,938,193) = 135594466 / 7
LCM(749,938,193) = 19370638
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FAQs on GCF of Fractions of 439/749, 764/938, 120/193
1. What is the HCF of 439,764,120?
The HCF of 439,764,120 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 439/749, 764/938, 120/193?
Answer: GCF of Numerators as per given numbers 439/749, 764/938, 120/193 is
GCF of Numerators i.e. for 439,764,120 is 1
LCM of denominators i.e. for 749,938,193 is 19370638.
Thus, GCF of Fractions is 1/19370638.Finally, GCF of Fractions for 439/749, 764/938, 120/193 is 1/19370638.