GCF of 974/78, 830/53, 145/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 974/78, 830/53, 145/384 i.e 1/264576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/78, 830/53, 145/384.
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 974/78,830/53,145/384?
Given fractions are 974/78,830/53,145/384
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 974/78,830/53,145/384, numerators are 974,830,145
Denominators are 78,53,384
The GCF of 974,830,145 is 1 .
LCM of 78,53,384 is 264576.
The greatest common factor of 974/78,830/53,145/384 = [GCF of 974,830,145]/[LCM of 78,53,384]= 1/264576
Therefore, the GCF of 974/78,830/53,145/384 is 1/264576.
To find the highest common factor of 974,830,145, we have to find the factors of both numbers and list the highest common factor.
The factors of 974 are 1, 2, 487, 974
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The factors of 145 are 1, 5, 29, 145
The HCF of 974,830,145 is 1.
Lets's calculate GCF of 974,830,145
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 974,830,145 By Matching Biggest Common Factor Method
Now, list down the factors of 974
:1,2,487,974
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Now, list down the factors of 145
:1,5,29,145
Greatest Common Factor
We found the factors 974,830,145 . The biggest common factor number is the GCF number.
So the greatest common factor 974,830,145 is 1.
Lets's calculate LCM of 78,53,384
| 2 | 78, 53, 384 |
| 3 | 39, 53, 192 |
| 13, 53, 64 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 53 x 64 = 264576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264576
Therefore, the GCF of Fractions 974/78,830/53,145/384 is 1/264576
Least Common Multiple of 78,53,384 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 78,53,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,53,384) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(78,53,384) x common factors =1 x 6 = 6
LCM(78,53,384) = ( 78 × 53 × 384 ) / 6
LCM(78,53,384) = 1587456 / 6
LCM(78,53,384) = 264576
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FAQs on GCF of Fractions of 974/78, 830/53, 145/384
1. What is the HCF of 974,830,145?
The HCF of 974,830,145 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 974/78, 830/53, 145/384?
Answer: GCF of Numerators as per given numbers 974/78, 830/53, 145/384 is
GCF of Numerators i.e. for 974,830,145 is 1
LCM of denominators i.e. for 78,53,384 is 264576.
Thus, GCF of Fractions is 1/264576.Finally, GCF of Fractions for 974/78, 830/53, 145/384 is 1/264576.