GCF of 2694/121, 5164/1043
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2694/121, 5164/1043 i.e 2/126203 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2694/121, 5164/1043.
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 2694/121,5164/1043?
Given fractions are 2694/121,5164/1043
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 2694/121,5164/1043, numerators are 2694,5164
Denominators are 121,1043
The GCF of 2694,5164 is 2 .
LCM of 121,1043 is 126203.
The greatest common factor of 2694/121,5164/1043 = [GCF of 2694,5164]/[LCM of 121,1043]= 2/126203
Therefore, the GCF of 2694/121,5164/1043 is 2/126203.
To find the highest common factor of 2694,5164, we have to find the factors of both numbers and list the highest common factor.
The factors of 2694 are 1, 2, 3, 6, 449, 898, 1347, 2694
The factors of 5164 are 1, 2, 4, 1291, 2582, 5164
The HCF of 2694,5164 is 2.
Lets's calculate GCF of 2694,5164
| 2 | 2694, 5164 |
| 1347, 2582 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2694,5164 By Matching Biggest Common Factor Method
Now, list down the factors of 2694
:1,2,3,6,449,898,1347,2694
Now, list down the factors of 5164
:1,2,4,1291,2582,5164
Greatest Common Factor
We found the factors 2694,5164 . The biggest common factor number is the GCF number.
So the greatest common factor 2694,5164 is 2.
Lets's calculate LCM of 121,1043
Given numbers has no common factors except 1. So, there LCM is their product i.e 126203
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/126203
Therefore, the GCF of Fractions 2694/121,5164/1043 is 2/126203
Least Common Multiple of 121,1043 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 121,1043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,1043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,1043) x common factors =1 x 1 = 1
LCM(121,1043) = ( 121 × 1043 ) / 1
LCM(121,1043) = 126203 / 1
LCM(121,1043) = 126203
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FAQs on GCF of Fractions of 2694/121, 5164/1043
1. What is the HCF of 2694,5164?
The HCF of 2694,5164 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 2694/121, 5164/1043?
Answer: GCF of Numerators as per given numbers 2694/121, 5164/1043 is
GCF of Numerators i.e. for 2694,5164 is 2
LCM of denominators i.e. for 121,1043 is 126203.
Thus, GCF of Fractions is 2/126203.Finally, GCF of Fractions for 2694/121, 5164/1043 is 2/126203.