GCF of 1961/414, 9850/6308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1961/414, 9850/6308 i.e 1/1305756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1961/414, 9850/6308.
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 1961/414,9850/6308?
Given fractions are 1961/414,9850/6308
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 1961/414,9850/6308, numerators are 1961,9850
Denominators are 414,6308
The GCF of 1961,9850 is 1 .
LCM of 414,6308 is 1305756.
The greatest common factor of 1961/414,9850/6308 = [GCF of 1961,9850]/[LCM of 414,6308]= 1/1305756
Therefore, the GCF of 1961/414,9850/6308 is 1/1305756.
To find the highest common factor of 1961,9850, we have to find the factors of both numbers and list the highest common factor.
The factors of 1961 are 1, 37, 53, 1961
The factors of 9850 are 1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850
The HCF of 1961,9850 is 1.
Lets's calculate GCF of 1961,9850
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1961,9850 By Matching Biggest Common Factor Method
Now, list down the factors of 1961
:1,37,53,1961
Now, list down the factors of 9850
:1,2,5,10,25,50,197,394,985,1970,4925,9850
Greatest Common Factor
We found the factors 1961,9850 . The biggest common factor number is the GCF number.
So the greatest common factor 1961,9850 is 1.
Lets's calculate LCM of 414,6308
| 2 | 414, 6308 |
| 207, 3154 |
∴ So the LCM of the given numbers is 2 x 207 x 3154 = 1305756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1305756
Therefore, the GCF of Fractions 1961/414,9850/6308 is 1/1305756
Least Common Multiple of 414,6308 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 414,6308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,6308) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,6308) x common factors =2 x 1 = 2
LCM(414,6308) = ( 414 × 6308 ) / 2
LCM(414,6308) = 2611512 / 2
LCM(414,6308) = 1305756
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FAQs on GCF of Fractions of 1961/414, 9850/6308
1. What is the HCF of 1961,9850?
The HCF of 1961,9850 is 1
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 1961/414, 9850/6308?
Answer: GCF of Numerators as per given numbers 1961/414, 9850/6308 is
GCF of Numerators i.e. for 1961,9850 is 1
LCM of denominators i.e. for 414,6308 is 1305756.
Thus, GCF of Fractions is 1/1305756.Finally, GCF of Fractions for 1961/414, 9850/6308 is 1/1305756.