GCF of 8966/429, 1934/1298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8966/429, 1934/1298 i.e 2/50622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8966/429, 1934/1298.
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 8966/429,1934/1298?
Given fractions are 8966/429,1934/1298
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 8966/429,1934/1298, numerators are 8966,1934
Denominators are 429,1298
The GCF of 8966,1934 is 2 .
LCM of 429,1298 is 50622.
The greatest common factor of 8966/429,1934/1298 = [GCF of 8966,1934]/[LCM of 429,1298]= 2/50622
Therefore, the GCF of 8966/429,1934/1298 is 2/50622.
To find the highest common factor of 8966,1934, we have to find the factors of both numbers and list the highest common factor.
The factors of 8966 are 1, 2, 4483, 8966
The factors of 1934 are 1, 2, 967, 1934
The HCF of 8966,1934 is 2.
Lets's calculate GCF of 8966,1934
| 2 | 8966, 1934 |
| 4483, 967 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8966,1934 By Matching Biggest Common Factor Method
Now, list down the factors of 8966
:1,2,4483,8966
Now, list down the factors of 1934
:1,2,967,1934
Greatest Common Factor
We found the factors 8966,1934 . The biggest common factor number is the GCF number.
So the greatest common factor 8966,1934 is 2.
Lets's calculate LCM of 429,1298
| 11 | 429, 1298 |
| 39, 118 |
∴ So the LCM of the given numbers is 11 x 39 x 118 = 50622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50622
Therefore, the GCF of Fractions 8966/429,1934/1298 is 2/50622
Least Common Multiple of 429,1298 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 429,1298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,1298) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(429,1298) x common factors =11 x 1 = 11
LCM(429,1298) = ( 429 × 1298 ) / 11
LCM(429,1298) = 556842 / 11
LCM(429,1298) = 50622
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FAQs on GCF of Fractions of 8966/429, 1934/1298
1. What is the HCF of 8966,1934?
The HCF of 8966,1934 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 8966/429, 1934/1298?
Answer: GCF of Numerators as per given numbers 8966/429, 1934/1298 is
GCF of Numerators i.e. for 8966,1934 is 2
LCM of denominators i.e. for 429,1298 is 50622.
Thus, GCF of Fractions is 2/50622.Finally, GCF of Fractions for 8966/429, 1934/1298 is 2/50622.