GCF of 350/33, 490/428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 350/33, 490/428 i.e 70/14124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 350/33, 490/428.
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 350/33,490/428?
Given fractions are 350/33,490/428
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 350/33,490/428, numerators are 350,490
Denominators are 33,428
The GCF of 350,490 is 70 .
LCM of 33,428 is 14124.
The greatest common factor of 350/33,490/428 = [GCF of 350,490]/[LCM of 33,428]= 70/14124
Therefore, the GCF of 350/33,490/428 is 70/14124.
To find the highest common factor of 350,490, 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 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
The HCF of 350,490 is 70.
Lets's calculate GCF of 350,490
| 2 | 350, 490 |
| 5 | 175, 245 |
| 7 | 35, 49 |
| 5, 7 |
∴ So the GCF of the given numbers is 2 x 5 x 7 = 70
Greatest Common Factor of 350,490 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 490
:1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 350,490 . The biggest common factor number is the GCF number.
So the greatest common factor 350,490 is 70.
Lets's calculate LCM of 33,428
Given numbers has no common factors except 1. So, there LCM is their product i.e 14124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/14124
Therefore, the GCF of Fractions 350/33,490/428 is 70/14124
Least Common Multiple of 33,428 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 33,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,428) x common factors =1 x 1 = 1
LCM(33,428) = ( 33 × 428 ) / 1
LCM(33,428) = 14124 / 1
LCM(33,428) = 14124
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FAQs on GCF of Fractions of 350/33, 490/428
1. What is the HCF of 350,490?
The HCF of 350,490 is 70
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 350/33, 490/428?
Answer: GCF of Numerators as per given numbers 350/33, 490/428 is
GCF of Numerators i.e. for 350,490 is 70
LCM of denominators i.e. for 33,428 is 14124.
Thus, GCF of Fractions is 70/14124.Finally, GCF of Fractions for 350/33, 490/428 is 70/14124.