GCF of 94/353, 10/512, 490/861
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 94/353, 10/512, 490/861 i.e 2/155613696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/353, 10/512, 490/861.
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 94/353,10/512,490/861?
Given fractions are 94/353,10/512,490/861
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 94/353,10/512,490/861, numerators are 94,10,490
Denominators are 353,512,861
The GCF of 94,10,490 is 2 .
LCM of 353,512,861 is 155613696.
The greatest common factor of 94/353,10/512,490/861 = [GCF of 94,10,490]/[LCM of 353,512,861]= 2/155613696
Therefore, the GCF of 94/353,10/512,490/861 is 2/155613696.
To find the highest common factor of 94,10,490, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 10 are 1, 2, 5, 10
The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
The HCF of 94,10,490 is 2.
Lets's calculate GCF of 94,10,490
| 2 | 94, 10, 490 |
| 47, 5, 245 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 94,10,490 By Matching Biggest Common Factor Method
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 10
:1,2,5,10
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 94,10,490 . The biggest common factor number is the GCF number.
So the greatest common factor 94,10,490 is 2.
Lets's calculate LCM of 353,512,861
Given numbers has no common factors except 1. So, there LCM is their product i.e 155613696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/155613696
Therefore, the GCF of Fractions 94/353,10/512,490/861 is 2/155613696
Least Common Multiple of 353,512,861 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 353,512,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,512,861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,512,861) x common factors =1 x 1 = 1
LCM(353,512,861) = ( 353 × 512 × 861 ) / 1
LCM(353,512,861) = 155613696 / 1
LCM(353,512,861) = 155613696
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FAQs on GCF of Fractions of 94/353, 10/512, 490/861
1. What is the HCF of 94,10,490?
The HCF of 94,10,490 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 94/353, 10/512, 490/861?
Answer: GCF of Numerators as per given numbers 94/353, 10/512, 490/861 is
GCF of Numerators i.e. for 94,10,490 is 2
LCM of denominators i.e. for 353,512,861 is 155613696.
Thus, GCF of Fractions is 2/155613696.Finally, GCF of Fractions for 94/353, 10/512, 490/861 is 2/155613696.