GCF of 5196/346, 6674/294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5196/346, 6674/294 i.e 2/50862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5196/346, 6674/294.
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 5196/346,6674/294?
Given fractions are 5196/346,6674/294
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 5196/346,6674/294, numerators are 5196,6674
Denominators are 346,294
The GCF of 5196,6674 is 2 .
LCM of 346,294 is 50862.
The greatest common factor of 5196/346,6674/294 = [GCF of 5196,6674]/[LCM of 346,294]= 2/50862
Therefore, the GCF of 5196/346,6674/294 is 2/50862.
To find the highest common factor of 5196,6674, we have to find the factors of both numbers and list the highest common factor.
The factors of 5196 are 1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598, 5196
The factors of 6674 are 1, 2, 47, 71, 94, 142, 3337, 6674
The HCF of 5196,6674 is 2.
Lets's calculate GCF of 5196,6674
| 2 | 5196, 6674 |
| 2598, 3337 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5196,6674 By Matching Biggest Common Factor Method
Now, list down the factors of 5196
:1,2,3,4,6,12,433,866,1299,1732,2598,5196
Now, list down the factors of 6674
:1,2,47,71,94,142,3337,6674
Greatest Common Factor
We found the factors 5196,6674 . The biggest common factor number is the GCF number.
So the greatest common factor 5196,6674 is 2.
Lets's calculate LCM of 346,294
| 2 | 346, 294 |
| 173, 147 |
∴ So the LCM of the given numbers is 2 x 173 x 147 = 50862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50862
Therefore, the GCF of Fractions 5196/346,6674/294 is 2/50862
Least Common Multiple of 346,294 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 346,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,294) x common factors =2 x 1 = 2
LCM(346,294) = ( 346 × 294 ) / 2
LCM(346,294) = 101724 / 2
LCM(346,294) = 50862
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FAQs on GCF of Fractions of 5196/346, 6674/294
1. What is the HCF of 5196,6674?
The HCF of 5196,6674 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 5196/346, 6674/294?
Answer: GCF of Numerators as per given numbers 5196/346, 6674/294 is
GCF of Numerators i.e. for 5196,6674 is 2
LCM of denominators i.e. for 346,294 is 50862.
Thus, GCF of Fractions is 2/50862.Finally, GCF of Fractions for 5196/346, 6674/294 is 2/50862.