GCF of 511/93, 911/3190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 511/93, 911/3190 i.e 1/296670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/93, 911/3190.
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 511/93,911/3190?
Given fractions are 511/93,911/3190
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 511/93,911/3190, numerators are 511,911
Denominators are 93,3190
The GCF of 511,911 is 1 .
LCM of 93,3190 is 296670.
The greatest common factor of 511/93,911/3190 = [GCF of 511,911]/[LCM of 93,3190]= 1/296670
Therefore, the GCF of 511/93,911/3190 is 1/296670.
To find the highest common factor of 511,911, we have to find the factors of both numbers and list the highest common factor.
The factors of 511 are 1, 7, 73, 511
The factors of 911 are 1, 911
The HCF of 511,911 is 1.
Lets's calculate GCF of 511,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 511,911 By Matching Biggest Common Factor Method
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 911
:1,911
Greatest Common Factor
We found the factors 511,911 . The biggest common factor number is the GCF number.
So the greatest common factor 511,911 is 1.
Lets's calculate LCM of 93,3190
Given numbers has no common factors except 1. So, there LCM is their product i.e 296670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296670
Therefore, the GCF of Fractions 511/93,911/3190 is 1/296670
Least Common Multiple of 93,3190 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 93,3190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,3190) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,3190) x common factors =1 x 1 = 1
LCM(93,3190) = ( 93 × 3190 ) / 1
LCM(93,3190) = 296670 / 1
LCM(93,3190) = 296670
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FAQs on GCF of Fractions of 511/93, 911/3190
1. What is the HCF of 511,911?
The HCF of 511,911 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 511/93, 911/3190?
Answer: GCF of Numerators as per given numbers 511/93, 911/3190 is
GCF of Numerators i.e. for 511,911 is 1
LCM of denominators i.e. for 93,3190 is 296670.
Thus, GCF of Fractions is 1/296670.Finally, GCF of Fractions for 511/93, 911/3190 is 1/296670.