GCF of 2968/165, 2166/9050
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2968/165, 2166/9050 i.e 2/298650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2968/165, 2166/9050.
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 2968/165,2166/9050?
Given fractions are 2968/165,2166/9050
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 2968/165,2166/9050, numerators are 2968,2166
Denominators are 165,9050
The GCF of 2968,2166 is 2 .
LCM of 165,9050 is 298650.
The greatest common factor of 2968/165,2166/9050 = [GCF of 2968,2166]/[LCM of 165,9050]= 2/298650
Therefore, the GCF of 2968/165,2166/9050 is 2/298650.
To find the highest common factor of 2968,2166, we have to find the factors of both numbers and list the highest common factor.
The factors of 2968 are 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968
The factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166
The HCF of 2968,2166 is 2.
Lets's calculate GCF of 2968,2166
| 2 | 2968, 2166 |
| 1484, 1083 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2968,2166 By Matching Biggest Common Factor Method
Now, list down the factors of 2968
:1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968
Now, list down the factors of 2166
:1,2,3,6,19,38,57,114,361,722,1083,2166
Greatest Common Factor
We found the factors 2968,2166 . The biggest common factor number is the GCF number.
So the greatest common factor 2968,2166 is 2.
Lets's calculate LCM of 165,9050
| 5 | 165, 9050 |
| 33, 1810 |
∴ So the LCM of the given numbers is 5 x 33 x 1810 = 298650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/298650
Therefore, the GCF of Fractions 2968/165,2166/9050 is 2/298650
Least Common Multiple of 165,9050 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 165,9050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,9050) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(165,9050) x common factors =5 x 1 = 5
LCM(165,9050) = ( 165 × 9050 ) / 5
LCM(165,9050) = 1493250 / 5
LCM(165,9050) = 298650
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FAQs on GCF of Fractions of 2968/165, 2166/9050
1. What is the HCF of 2968,2166?
The HCF of 2968,2166 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 2968/165, 2166/9050?
Answer: GCF of Numerators as per given numbers 2968/165, 2166/9050 is
GCF of Numerators i.e. for 2968,2166 is 2
LCM of denominators i.e. for 165,9050 is 298650.
Thus, GCF of Fractions is 2/298650.Finally, GCF of Fractions for 2968/165, 2166/9050 is 2/298650.