GCF of 5485/654, 2968/3164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5485/654, 2968/3164 i.e 1/1034628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5485/654, 2968/3164.
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 5485/654,2968/3164?
Given fractions are 5485/654,2968/3164
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 5485/654,2968/3164, numerators are 5485,2968
Denominators are 654,3164
The GCF of 5485,2968 is 1 .
LCM of 654,3164 is 1034628.
The greatest common factor of 5485/654,2968/3164 = [GCF of 5485,2968]/[LCM of 654,3164]= 1/1034628
Therefore, the GCF of 5485/654,2968/3164 is 1/1034628.
To find the highest common factor of 5485,2968, we have to find the factors of both numbers and list the highest common factor.
The factors of 5485 are 1, 5, 1097, 5485
The factors of 2968 are 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968
The HCF of 5485,2968 is 1.
Lets's calculate GCF of 5485,2968
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5485,2968 By Matching Biggest Common Factor Method
Now, list down the factors of 5485
:1,5,1097,5485
Now, list down the factors of 2968
:1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968
Greatest Common Factor
We found the factors 5485,2968 . The biggest common factor number is the GCF number.
So the greatest common factor 5485,2968 is 1.
Lets's calculate LCM of 654,3164
| 2 | 654, 3164 |
| 327, 1582 |
∴ So the LCM of the given numbers is 2 x 327 x 1582 = 1034628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1034628
Therefore, the GCF of Fractions 5485/654,2968/3164 is 1/1034628
Least Common Multiple of 654,3164 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 654,3164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,3164) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,3164) x common factors =2 x 1 = 2
LCM(654,3164) = ( 654 × 3164 ) / 2
LCM(654,3164) = 2069256 / 2
LCM(654,3164) = 1034628
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FAQs on GCF of Fractions of 5485/654, 2968/3164
1. What is the HCF of 5485,2968?
The HCF of 5485,2968 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 5485/654, 2968/3164?
Answer: GCF of Numerators as per given numbers 5485/654, 2968/3164 is
GCF of Numerators i.e. for 5485,2968 is 1
LCM of denominators i.e. for 654,3164 is 1034628.
Thus, GCF of Fractions is 1/1034628.Finally, GCF of Fractions for 5485/654, 2968/3164 is 1/1034628.