GCF of 73/912, 34/252, 309/624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 73/912, 34/252, 309/624 i.e 1/248976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/912, 34/252, 309/624.
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 73/912,34/252,309/624?
Given fractions are 73/912,34/252,309/624
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 73/912,34/252,309/624, numerators are 73,34,309
Denominators are 912,252,624
The GCF of 73,34,309 is 1 .
LCM of 912,252,624 is 248976.
The greatest common factor of 73/912,34/252,309/624 = [GCF of 73,34,309]/[LCM of 912,252,624]= 1/248976
Therefore, the GCF of 73/912,34/252,309/624 is 1/248976.
To find the highest common factor of 73,34,309, we have to find the factors of both numbers and list the highest common factor.
The factors of 73 are 1, 73
The factors of 34 are 1, 2, 17, 34
The factors of 309 are 1, 3, 103, 309
The HCF of 73,34,309 is 1.
Lets's calculate GCF of 73,34,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 73,34,309 By Matching Biggest Common Factor Method
Now, list down the factors of 73
:1,73
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 309
:1,3,103,309
Greatest Common Factor
We found the factors 73,34,309 . The biggest common factor number is the GCF number.
So the greatest common factor 73,34,309 is 1.
Lets's calculate LCM of 912,252,624
| 2 | 912, 252, 624 |
| 2 | 456, 126, 312 |
| 2 | 228, 63, 156 |
| 2 | 114, 63, 78 |
| 3 | 57, 63, 39 |
| 19, 21, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 19 x 21 x 13 = 248976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248976
Therefore, the GCF of Fractions 73/912,34/252,309/624 is 1/248976
Least Common Multiple of 912,252,624 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 912,252,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,252,624) = 12
common factors(in case of two or more numbers have common factors) = 48
GCF(912,252,624) x common factors =12 x 48 = 576
LCM(912,252,624) = ( 912 × 252 × 624 ) / 576
LCM(912,252,624) = 143410176 / 576
LCM(912,252,624) = 248976
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FAQs on GCF of Fractions of 73/912, 34/252, 309/624
1. What is the HCF of 73,34,309?
The HCF of 73,34,309 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 73/912, 34/252, 309/624?
Answer: GCF of Numerators as per given numbers 73/912, 34/252, 309/624 is
GCF of Numerators i.e. for 73,34,309 is 1
LCM of denominators i.e. for 912,252,624 is 248976.
Thus, GCF of Fractions is 1/248976.Finally, GCF of Fractions for 73/912, 34/252, 309/624 is 1/248976.