GCF of 851/98, 209/398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 851/98, 209/398 i.e 1/19502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 851/98, 209/398.
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 851/98,209/398?
Given fractions are 851/98,209/398
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 851/98,209/398, numerators are 851,209
Denominators are 98,398
The GCF of 851,209 is 1 .
LCM of 98,398 is 19502.
The greatest common factor of 851/98,209/398 = [GCF of 851,209]/[LCM of 98,398]= 1/19502
Therefore, the GCF of 851/98,209/398 is 1/19502.
To find the highest common factor of 851,209, we have to find the factors of both numbers and list the highest common factor.
The factors of 851 are 1, 23, 37, 851
The factors of 209 are 1, 11, 19, 209
The HCF of 851,209 is 1.
Lets's calculate GCF of 851,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 851,209 By Matching Biggest Common Factor Method
Now, list down the factors of 851
:1,23,37,851
Now, list down the factors of 209
:1,11,19,209
Greatest Common Factor
We found the factors 851,209 . The biggest common factor number is the GCF number.
So the greatest common factor 851,209 is 1.
Lets's calculate LCM of 98,398
| 2 | 98, 398 |
| 49, 199 |
∴ So the LCM of the given numbers is 2 x 49 x 199 = 19502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19502
Therefore, the GCF of Fractions 851/98,209/398 is 1/19502
Least Common Multiple of 98,398 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 98,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,398) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(98,398) x common factors =2 x 1 = 2
LCM(98,398) = ( 98 × 398 ) / 2
LCM(98,398) = 39004 / 2
LCM(98,398) = 19502
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FAQs on GCF of Fractions of 851/98, 209/398
1. What is the HCF of 851,209?
The HCF of 851,209 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 851/98, 209/398?
Answer: GCF of Numerators as per given numbers 851/98, 209/398 is
GCF of Numerators i.e. for 851,209 is 1
LCM of denominators i.e. for 98,398 is 19502.
Thus, GCF of Fractions is 1/19502.Finally, GCF of Fractions for 851/98, 209/398 is 1/19502.