GCF of 357/974, 578/771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 357/974, 578/771 i.e 17/750954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 357/974, 578/771.
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 357/974,578/771?
Given fractions are 357/974,578/771
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 357/974,578/771, numerators are 357,578
Denominators are 974,771
The GCF of 357,578 is 17 .
LCM of 974,771 is 750954.
The greatest common factor of 357/974,578/771 = [GCF of 357,578]/[LCM of 974,771]= 17/750954
Therefore, the GCF of 357/974,578/771 is 17/750954.
To find the highest common factor of 357,578, we have to find the factors of both numbers and list the highest common factor.
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357
The factors of 578 are 1, 2, 17, 34, 289, 578
The HCF of 357,578 is 17.
Lets's calculate GCF of 357,578
| 17 | 357, 578 |
| 21, 34 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 357,578 By Matching Biggest Common Factor Method
Now, list down the factors of 357
:1,3,7,17,21,51,119,357
Now, list down the factors of 578
:1,2,17,34,289,578
Greatest Common Factor
We found the factors 357,578 . The biggest common factor number is the GCF number.
So the greatest common factor 357,578 is 17.
Lets's calculate LCM of 974,771
Given numbers has no common factors except 1. So, there LCM is their product i.e 750954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/750954
Therefore, the GCF of Fractions 357/974,578/771 is 17/750954
Least Common Multiple of 974,771 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 974,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,771) x common factors =1 x 1 = 1
LCM(974,771) = ( 974 × 771 ) / 1
LCM(974,771) = 750954 / 1
LCM(974,771) = 750954
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FAQs on GCF of Fractions of 357/974, 578/771
1. What is the HCF of 357,578?
The HCF of 357,578 is 17
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 357/974, 578/771?
Answer: GCF of Numerators as per given numbers 357/974, 578/771 is
GCF of Numerators i.e. for 357,578 is 17
LCM of denominators i.e. for 974,771 is 750954.
Thus, GCF of Fractions is 17/750954.Finally, GCF of Fractions for 357/974, 578/771 is 17/750954.