GCF of 4946/139, 3452/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4946/139, 3452/574 i.e 2/79786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4946/139, 3452/574.
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 4946/139,3452/574?
Given fractions are 4946/139,3452/574
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 4946/139,3452/574, numerators are 4946,3452
Denominators are 139,574
The GCF of 4946,3452 is 2 .
LCM of 139,574 is 79786.
The greatest common factor of 4946/139,3452/574 = [GCF of 4946,3452]/[LCM of 139,574]= 2/79786
Therefore, the GCF of 4946/139,3452/574 is 2/79786.
To find the highest common factor of 4946,3452, we have to find the factors of both numbers and list the highest common factor.
The factors of 4946 are 1, 2, 2473, 4946
The factors of 3452 are 1, 2, 4, 863, 1726, 3452
The HCF of 4946,3452 is 2.
Lets's calculate GCF of 4946,3452
| 2 | 4946, 3452 |
| 2473, 1726 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4946,3452 By Matching Biggest Common Factor Method
Now, list down the factors of 4946
:1,2,2473,4946
Now, list down the factors of 3452
:1,2,4,863,1726,3452
Greatest Common Factor
We found the factors 4946,3452 . The biggest common factor number is the GCF number.
So the greatest common factor 4946,3452 is 2.
Lets's calculate LCM of 139,574
Given numbers has no common factors except 1. So, there LCM is their product i.e 79786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79786
Therefore, the GCF of Fractions 4946/139,3452/574 is 2/79786
Least Common Multiple of 139,574 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 139,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,574) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,574) x common factors =1 x 1 = 1
LCM(139,574) = ( 139 × 574 ) / 1
LCM(139,574) = 79786 / 1
LCM(139,574) = 79786
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FAQs on GCF of Fractions of 4946/139, 3452/574
1. What is the HCF of 4946,3452?
The HCF of 4946,3452 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 4946/139, 3452/574?
Answer: GCF of Numerators as per given numbers 4946/139, 3452/574 is
GCF of Numerators i.e. for 4946,3452 is 2
LCM of denominators i.e. for 139,574 is 79786.
Thus, GCF of Fractions is 2/79786.Finally, GCF of Fractions for 4946/139, 3452/574 is 2/79786.