GCF of 209/982, 7904/672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 209/982, 7904/672 i.e 19/329952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 209/982, 7904/672.
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 209/982,7904/672?
Given fractions are 209/982,7904/672
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 209/982,7904/672, numerators are 209,7904
Denominators are 982,672
The GCF of 209,7904 is 19 .
LCM of 982,672 is 329952.
The greatest common factor of 209/982,7904/672 = [GCF of 209,7904]/[LCM of 982,672]= 19/329952
Therefore, the GCF of 209/982,7904/672 is 19/329952.
To find the highest common factor of 209,7904, we have to find the factors of both numbers and list the highest common factor.
The factors of 209 are 1, 11, 19, 209
The factors of 7904 are 1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 76, 104, 152, 208, 247, 304, 416, 494, 608, 988, 1976, 3952, 7904
The HCF of 209,7904 is 19.
Lets's calculate GCF of 209,7904
| 19 | 209, 7904 |
| 11, 416 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 209,7904 By Matching Biggest Common Factor Method
Now, list down the factors of 209
:1,11,19,209
Now, list down the factors of 7904
:1,2,4,8,13,16,19,26,32,38,52,76,104,152,208,247,304,416,494,608,988,1976,3952,7904
Greatest Common Factor
We found the factors 209,7904 . The biggest common factor number is the GCF number.
So the greatest common factor 209,7904 is 19.
Lets's calculate LCM of 982,672
| 2 | 982, 672 |
| 491, 336 |
∴ So the LCM of the given numbers is 2 x 491 x 336 = 329952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/329952
Therefore, the GCF of Fractions 209/982,7904/672 is 19/329952
Least Common Multiple of 982,672 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 982,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,672) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,672) x common factors =2 x 1 = 2
LCM(982,672) = ( 982 × 672 ) / 2
LCM(982,672) = 659904 / 2
LCM(982,672) = 329952
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FAQs on GCF of Fractions of 209/982, 7904/672
1. What is the HCF of 209,7904?
The HCF of 209,7904 is 19
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 209/982, 7904/672?
Answer: GCF of Numerators as per given numbers 209/982, 7904/672 is
GCF of Numerators i.e. for 209,7904 is 19
LCM of denominators i.e. for 982,672 is 329952.
Thus, GCF of Fractions is 19/329952.Finally, GCF of Fractions for 209/982, 7904/672 is 19/329952.