GCF of 3089/165, 7891/416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3089/165, 7891/416 i.e 1/68640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3089/165, 7891/416.
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 3089/165,7891/416?
Given fractions are 3089/165,7891/416
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 3089/165,7891/416, numerators are 3089,7891
Denominators are 165,416
The GCF of 3089,7891 is 1 .
LCM of 165,416 is 68640.
The greatest common factor of 3089/165,7891/416 = [GCF of 3089,7891]/[LCM of 165,416]= 1/68640
Therefore, the GCF of 3089/165,7891/416 is 1/68640.
To find the highest common factor of 3089,7891, we have to find the factors of both numbers and list the highest common factor.
The factors of 3089 are 1, 3089
The factors of 7891 are 1, 13, 607, 7891
The HCF of 3089,7891 is 1.
Lets's calculate GCF of 3089,7891
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3089,7891 By Matching Biggest Common Factor Method
Now, list down the factors of 3089
:1,3089
Now, list down the factors of 7891
:1,13,607,7891
Greatest Common Factor
We found the factors 3089,7891 . The biggest common factor number is the GCF number.
So the greatest common factor 3089,7891 is 1.
Lets's calculate LCM of 165,416
Given numbers has no common factors except 1. So, there LCM is their product i.e 68640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68640
Therefore, the GCF of Fractions 3089/165,7891/416 is 1/68640
Least Common Multiple of 165,416 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 165,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,416) x common factors =1 x 1 = 1
LCM(165,416) = ( 165 × 416 ) / 1
LCM(165,416) = 68640 / 1
LCM(165,416) = 68640
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FAQs on GCF of Fractions of 3089/165, 7891/416
1. What is the HCF of 3089,7891?
The HCF of 3089,7891 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 3089/165, 7891/416?
Answer: GCF of Numerators as per given numbers 3089/165, 7891/416 is
GCF of Numerators i.e. for 3089,7891 is 1
LCM of denominators i.e. for 165,416 is 68640.
Thus, GCF of Fractions is 1/68640.Finally, GCF of Fractions for 3089/165, 7891/416 is 1/68640.