GCF of 5069/191, 4643/996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5069/191, 4643/996 i.e 1/190236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5069/191, 4643/996.
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 5069/191,4643/996?
Given fractions are 5069/191,4643/996
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 5069/191,4643/996, numerators are 5069,4643
Denominators are 191,996
The GCF of 5069,4643 is 1 .
LCM of 191,996 is 190236.
The greatest common factor of 5069/191,4643/996 = [GCF of 5069,4643]/[LCM of 191,996]= 1/190236
Therefore, the GCF of 5069/191,4643/996 is 1/190236.
To find the highest common factor of 5069,4643, we have to find the factors of both numbers and list the highest common factor.
The factors of 5069 are 1, 37, 137, 5069
The factors of 4643 are 1, 4643
The HCF of 5069,4643 is 1.
Lets's calculate GCF of 5069,4643
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5069,4643 By Matching Biggest Common Factor Method
Now, list down the factors of 5069
:1,37,137,5069
Now, list down the factors of 4643
:1,4643
Greatest Common Factor
We found the factors 5069,4643 . The biggest common factor number is the GCF number.
So the greatest common factor 5069,4643 is 1.
Lets's calculate LCM of 191,996
Given numbers has no common factors except 1. So, there LCM is their product i.e 190236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190236
Therefore, the GCF of Fractions 5069/191,4643/996 is 1/190236
Least Common Multiple of 191,996 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 191,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,996) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,996) x common factors =1 x 1 = 1
LCM(191,996) = ( 191 × 996 ) / 1
LCM(191,996) = 190236 / 1
LCM(191,996) = 190236
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FAQs on GCF of Fractions of 5069/191, 4643/996
1. What is the HCF of 5069,4643?
The HCF of 5069,4643 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 5069/191, 4643/996?
Answer: GCF of Numerators as per given numbers 5069/191, 4643/996 is
GCF of Numerators i.e. for 5069,4643 is 1
LCM of denominators i.e. for 191,996 is 190236.
Thus, GCF of Fractions is 1/190236.Finally, GCF of Fractions for 5069/191, 4643/996 is 1/190236.