GCF of 8194/434, 9470/302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8194/434, 9470/302 i.e 2/65534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8194/434, 9470/302.
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 8194/434,9470/302?
Given fractions are 8194/434,9470/302
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 8194/434,9470/302, numerators are 8194,9470
Denominators are 434,302
The GCF of 8194,9470 is 2 .
LCM of 434,302 is 65534.
The greatest common factor of 8194/434,9470/302 = [GCF of 8194,9470]/[LCM of 434,302]= 2/65534
Therefore, the GCF of 8194/434,9470/302 is 2/65534.
To find the highest common factor of 8194,9470, we have to find the factors of both numbers and list the highest common factor.
The factors of 8194 are 1, 2, 17, 34, 241, 482, 4097, 8194
The factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470
The HCF of 8194,9470 is 2.
Lets's calculate GCF of 8194,9470
| 2 | 8194, 9470 |
| 4097, 4735 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8194,9470 By Matching Biggest Common Factor Method
Now, list down the factors of 8194
:1,2,17,34,241,482,4097,8194
Now, list down the factors of 9470
:1,2,5,10,947,1894,4735,9470
Greatest Common Factor
We found the factors 8194,9470 . The biggest common factor number is the GCF number.
So the greatest common factor 8194,9470 is 2.
Lets's calculate LCM of 434,302
| 2 | 434, 302 |
| 217, 151 |
∴ So the LCM of the given numbers is 2 x 217 x 151 = 65534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/65534
Therefore, the GCF of Fractions 8194/434,9470/302 is 2/65534
Least Common Multiple of 434,302 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 434,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(434,302) x common factors =2 x 1 = 2
LCM(434,302) = ( 434 × 302 ) / 2
LCM(434,302) = 131068 / 2
LCM(434,302) = 65534
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FAQs on GCF of Fractions of 8194/434, 9470/302
1. What is the HCF of 8194,9470?
The HCF of 8194,9470 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 8194/434, 9470/302?
Answer: GCF of Numerators as per given numbers 8194/434, 9470/302 is
GCF of Numerators i.e. for 8194,9470 is 2
LCM of denominators i.e. for 434,302 is 65534.
Thus, GCF of Fractions is 2/65534.Finally, GCF of Fractions for 8194/434, 9470/302 is 2/65534.