GCF of 628/69, 754/17, 578/504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 628/69, 754/17, 578/504 i.e 2/197064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/69, 754/17, 578/504.
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 628/69,754/17,578/504?
Given fractions are 628/69,754/17,578/504
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 628/69,754/17,578/504, numerators are 628,754,578
Denominators are 69,17,504
The GCF of 628,754,578 is 2 .
LCM of 69,17,504 is 197064.
The greatest common factor of 628/69,754/17,578/504 = [GCF of 628,754,578]/[LCM of 69,17,504]= 2/197064
Therefore, the GCF of 628/69,754/17,578/504 is 2/197064.
To find the highest common factor of 628,754,578, we have to find the factors of both numbers and list the highest common factor.
The factors of 628 are 1, 2, 4, 157, 314, 628
The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754
The factors of 578 are 1, 2, 17, 34, 289, 578
The HCF of 628,754,578 is 2.
Lets's calculate GCF of 628,754,578
| 2 | 628, 754, 578 |
| 314, 377, 289 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 628,754,578 By Matching Biggest Common Factor Method
Now, list down the factors of 628
:1,2,4,157,314,628
Now, list down the factors of 754
:1,2,13,26,29,58,377,754
Now, list down the factors of 578
:1,2,17,34,289,578
Greatest Common Factor
We found the factors 628,754,578 . The biggest common factor number is the GCF number.
So the greatest common factor 628,754,578 is 2.
Lets's calculate LCM of 69,17,504
| 3 | 69, 17, 504 |
| 23, 17, 168 |
∴ So the LCM of the given numbers is 3 x 23 x 17 x 168 = 197064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/197064
Therefore, the GCF of Fractions 628/69,754/17,578/504 is 2/197064
Least Common Multiple of 69,17,504 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 69,17,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,17,504) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,17,504) x common factors =1 x 3 = 3
LCM(69,17,504) = ( 69 × 17 × 504 ) / 3
LCM(69,17,504) = 591192 / 3
LCM(69,17,504) = 197064
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FAQs on GCF of Fractions of 628/69, 754/17, 578/504
1. What is the HCF of 628,754,578?
The HCF of 628,754,578 is 2
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 628/69, 754/17, 578/504?
Answer: GCF of Numerators as per given numbers 628/69, 754/17, 578/504 is
GCF of Numerators i.e. for 628,754,578 is 2
LCM of denominators i.e. for 69,17,504 is 197064.
Thus, GCF of Fractions is 2/197064.Finally, GCF of Fractions for 628/69, 754/17, 578/504 is 2/197064.