GCF of 17/624, 307/198, 451/988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 17/624, 307/198, 451/988 i.e 1/391248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/624, 307/198, 451/988.
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 17/624,307/198,451/988?
Given fractions are 17/624,307/198,451/988
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 17/624,307/198,451/988, numerators are 17,307,451
Denominators are 624,198,988
The GCF of 17,307,451 is 1 .
LCM of 624,198,988 is 391248.
The greatest common factor of 17/624,307/198,451/988 = [GCF of 17,307,451]/[LCM of 624,198,988]= 1/391248
Therefore, the GCF of 17/624,307/198,451/988 is 1/391248.
To find the highest common factor of 17,307,451, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 307 are 1, 307
The factors of 451 are 1, 11, 41, 451
The HCF of 17,307,451 is 1.
Lets's calculate GCF of 17,307,451
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 17,307,451 By Matching Biggest Common Factor Method
Now, list down the factors of 17
:1,17
Now, list down the factors of 307
:1,307
Now, list down the factors of 451
:1,11,41,451
Greatest Common Factor
We found the factors 17,307,451 . The biggest common factor number is the GCF number.
So the greatest common factor 17,307,451 is 1.
Lets's calculate LCM of 624,198,988
| 2 | 624, 198, 988 |
| 2 | 312, 99, 494 |
| 3 | 156, 99, 247 |
| 13 | 52, 33, 247 |
| 4, 33, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 4 x 33 x 19 = 391248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/391248
Therefore, the GCF of Fractions 17/624,307/198,451/988 is 1/391248
Least Common Multiple of 624,198,988 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 624,198,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,198,988) = 2
common factors(in case of two or more numbers have common factors) = 156
GCF(624,198,988) x common factors =2 x 156 = 312
LCM(624,198,988) = ( 624 × 198 × 988 ) / 312
LCM(624,198,988) = 122069376 / 312
LCM(624,198,988) = 391248
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FAQs on GCF of Fractions of 17/624, 307/198, 451/988
1. What is the HCF of 17,307,451?
The HCF of 17,307,451 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 17/624, 307/198, 451/988?
Answer: GCF of Numerators as per given numbers 17/624, 307/198, 451/988 is
GCF of Numerators i.e. for 17,307,451 is 1
LCM of denominators i.e. for 624,198,988 is 391248.
Thus, GCF of Fractions is 1/391248.Finally, GCF of Fractions for 17/624, 307/198, 451/988 is 1/391248.