GCF of 350/820, 294/561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 350/820, 294/561 i.e 14/460020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 350/820, 294/561.
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 350/820,294/561?
Given fractions are 350/820,294/561
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 350/820,294/561, numerators are 350,294
Denominators are 820,561
The GCF of 350,294 is 14 .
LCM of 820,561 is 460020.
The greatest common factor of 350/820,294/561 = [GCF of 350,294]/[LCM of 820,561]= 14/460020
Therefore, the GCF of 350/820,294/561 is 14/460020.
To find the highest common factor of 350,294, we have to find the factors of both numbers and list the highest common factor.
The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The HCF of 350,294 is 14.
Lets's calculate GCF of 350,294
| 2 | 350, 294 |
| 7 | 175, 147 |
| 25, 21 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 350,294 By Matching Biggest Common Factor Method
Now, list down the factors of 350
:1,2,5,7,10,14,25,35,50,70,175,350
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 350,294 . The biggest common factor number is the GCF number.
So the greatest common factor 350,294 is 14.
Lets's calculate LCM of 820,561
Given numbers has no common factors except 1. So, there LCM is their product i.e 460020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/460020
Therefore, the GCF of Fractions 350/820,294/561 is 14/460020
Least Common Multiple of 820,561 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 820,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(820,561) x common factors =1 x 1 = 1
LCM(820,561) = ( 820 × 561 ) / 1
LCM(820,561) = 460020 / 1
LCM(820,561) = 460020
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FAQs on GCF of Fractions of 350/820, 294/561
1. What is the HCF of 350,294?
The HCF of 350,294 is 14
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 350/820, 294/561?
Answer: GCF of Numerators as per given numbers 350/820, 294/561 is
GCF of Numerators i.e. for 350,294 is 14
LCM of denominators i.e. for 820,561 is 460020.
Thus, GCF of Fractions is 14/460020.Finally, GCF of Fractions for 350/820, 294/561 is 14/460020.