GCF of 190/875, 6434/938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 190/875, 6434/938 i.e 2/117250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 190/875, 6434/938.
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 190/875,6434/938?
Given fractions are 190/875,6434/938
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 190/875,6434/938, numerators are 190,6434
Denominators are 875,938
The GCF of 190,6434 is 2 .
LCM of 875,938 is 117250.
The greatest common factor of 190/875,6434/938 = [GCF of 190,6434]/[LCM of 875,938]= 2/117250
Therefore, the GCF of 190/875,6434/938 is 2/117250.
To find the highest common factor of 190,6434, we have to find the factors of both numbers and list the highest common factor.
The factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190
The factors of 6434 are 1, 2, 3217, 6434
The HCF of 190,6434 is 2.
Lets's calculate GCF of 190,6434
| 2 | 190, 6434 |
| 95, 3217 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 190,6434 By Matching Biggest Common Factor Method
Now, list down the factors of 190
:1,2,5,10,19,38,95,190
Now, list down the factors of 6434
:1,2,3217,6434
Greatest Common Factor
We found the factors 190,6434 . The biggest common factor number is the GCF number.
So the greatest common factor 190,6434 is 2.
Lets's calculate LCM of 875,938
| 7 | 875, 938 |
| 125, 134 |
∴ So the LCM of the given numbers is 7 x 125 x 134 = 117250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/117250
Therefore, the GCF of Fractions 190/875,6434/938 is 2/117250
Least Common Multiple of 875,938 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 875,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,938) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(875,938) x common factors =7 x 1 = 7
LCM(875,938) = ( 875 × 938 ) / 7
LCM(875,938) = 820750 / 7
LCM(875,938) = 117250
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FAQs on GCF of Fractions of 190/875, 6434/938
1. What is the HCF of 190,6434?
The HCF of 190,6434 is 2
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 190/875, 6434/938?
Answer: GCF of Numerators as per given numbers 190/875, 6434/938 is
GCF of Numerators i.e. for 190,6434 is 2
LCM of denominators i.e. for 875,938 is 117250.
Thus, GCF of Fractions is 2/117250.Finally, GCF of Fractions for 190/875, 6434/938 is 2/117250.