GCF of 199/967, 305/526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 199/967, 305/526 i.e 1/508642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 199/967, 305/526.
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 199/967,305/526?
Given fractions are 199/967,305/526
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 199/967,305/526, numerators are 199,305
Denominators are 967,526
The GCF of 199,305 is 1 .
LCM of 967,526 is 508642.
The greatest common factor of 199/967,305/526 = [GCF of 199,305]/[LCM of 967,526]= 1/508642
Therefore, the GCF of 199/967,305/526 is 1/508642.
To find the highest common factor of 199,305, we have to find the factors of both numbers and list the highest common factor.
The factors of 199 are 1, 199
The factors of 305 are 1, 5, 61, 305
The HCF of 199,305 is 1.
Lets's calculate GCF of 199,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 199,305 By Matching Biggest Common Factor Method
Now, list down the factors of 199
:1,199
Now, list down the factors of 305
:1,5,61,305
Greatest Common Factor
We found the factors 199,305 . The biggest common factor number is the GCF number.
So the greatest common factor 199,305 is 1.
Lets's calculate LCM of 967,526
Given numbers has no common factors except 1. So, there LCM is their product i.e 508642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/508642
Therefore, the GCF of Fractions 199/967,305/526 is 1/508642
Least Common Multiple of 967,526 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 967,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,526) x common factors =1 x 1 = 1
LCM(967,526) = ( 967 × 526 ) / 1
LCM(967,526) = 508642 / 1
LCM(967,526) = 508642
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 199/967, 305/526
1. What is the HCF of 199,305?
The HCF of 199,305 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 199/967, 305/526?
Answer: GCF of Numerators as per given numbers 199/967, 305/526 is
GCF of Numerators i.e. for 199,305 is 1
LCM of denominators i.e. for 967,526 is 508642.
Thus, GCF of Fractions is 1/508642.Finally, GCF of Fractions for 199/967, 305/526 is 1/508642.