GCF of 2194/714, 4724/2959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2194/714, 4724/2959 i.e 2/2112726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2194/714, 4724/2959.
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 2194/714,4724/2959?
Given fractions are 2194/714,4724/2959
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 2194/714,4724/2959, numerators are 2194,4724
Denominators are 714,2959
The GCF of 2194,4724 is 2 .
LCM of 714,2959 is 2112726.
The greatest common factor of 2194/714,4724/2959 = [GCF of 2194,4724]/[LCM of 714,2959]= 2/2112726
Therefore, the GCF of 2194/714,4724/2959 is 2/2112726.
To find the highest common factor of 2194,4724, we have to find the factors of both numbers and list the highest common factor.
The factors of 2194 are 1, 2, 1097, 2194
The factors of 4724 are 1, 2, 4, 1181, 2362, 4724
The HCF of 2194,4724 is 2.
Lets's calculate GCF of 2194,4724
| 2 | 2194, 4724 |
| 1097, 2362 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2194,4724 By Matching Biggest Common Factor Method
Now, list down the factors of 2194
:1,2,1097,2194
Now, list down the factors of 4724
:1,2,4,1181,2362,4724
Greatest Common Factor
We found the factors 2194,4724 . The biggest common factor number is the GCF number.
So the greatest common factor 2194,4724 is 2.
Lets's calculate LCM of 714,2959
Given numbers has no common factors except 1. So, there LCM is their product i.e 2112726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2112726
Therefore, the GCF of Fractions 2194/714,4724/2959 is 2/2112726
Least Common Multiple of 714,2959 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 714,2959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,2959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(714,2959) x common factors =1 x 1 = 1
LCM(714,2959) = ( 714 × 2959 ) / 1
LCM(714,2959) = 2112726 / 1
LCM(714,2959) = 2112726
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FAQs on GCF of Fractions of 2194/714, 4724/2959
1. What is the HCF of 2194,4724?
The HCF of 2194,4724 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 2194/714, 4724/2959?
Answer: GCF of Numerators as per given numbers 2194/714, 4724/2959 is
GCF of Numerators i.e. for 2194,4724 is 2
LCM of denominators i.e. for 714,2959 is 2112726.
Thus, GCF of Fractions is 2/2112726.Finally, GCF of Fractions for 2194/714, 4724/2959 is 2/2112726.