GCF of 3944/196, 5209/5414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3944/196, 5209/5414 i.e 1/530572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3944/196, 5209/5414.
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 3944/196,5209/5414?
Given fractions are 3944/196,5209/5414
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 3944/196,5209/5414, numerators are 3944,5209
Denominators are 196,5414
The GCF of 3944,5209 is 1 .
LCM of 196,5414 is 530572.
The greatest common factor of 3944/196,5209/5414 = [GCF of 3944,5209]/[LCM of 196,5414]= 1/530572
Therefore, the GCF of 3944/196,5209/5414 is 1/530572.
To find the highest common factor of 3944,5209, we have to find the factors of both numbers and list the highest common factor.
The factors of 3944 are 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972, 3944
The factors of 5209 are 1, 5209
The HCF of 3944,5209 is 1.
Lets's calculate GCF of 3944,5209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3944,5209 By Matching Biggest Common Factor Method
Now, list down the factors of 3944
:1,2,4,8,17,29,34,58,68,116,136,232,493,986,1972,3944
Now, list down the factors of 5209
:1,5209
Greatest Common Factor
We found the factors 3944,5209 . The biggest common factor number is the GCF number.
So the greatest common factor 3944,5209 is 1.
Lets's calculate LCM of 196,5414
| 2 | 196, 5414 |
| 98, 2707 |
∴ So the LCM of the given numbers is 2 x 98 x 2707 = 530572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530572
Therefore, the GCF of Fractions 3944/196,5209/5414 is 1/530572
Least Common Multiple of 196,5414 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 196,5414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,5414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(196,5414) x common factors =2 x 1 = 2
LCM(196,5414) = ( 196 × 5414 ) / 2
LCM(196,5414) = 1061144 / 2
LCM(196,5414) = 530572
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FAQs on GCF of Fractions of 3944/196, 5209/5414
1. What is the HCF of 3944,5209?
The HCF of 3944,5209 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 3944/196, 5209/5414?
Answer: GCF of Numerators as per given numbers 3944/196, 5209/5414 is
GCF of Numerators i.e. for 3944,5209 is 1
LCM of denominators i.e. for 196,5414 is 530572.
Thus, GCF of Fractions is 1/530572.Finally, GCF of Fractions for 3944/196, 5209/5414 is 1/530572.