GCF of 1961/474, 3983/8534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1961/474, 3983/8534 i.e 1/2022558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1961/474, 3983/8534.
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 1961/474,3983/8534?
Given fractions are 1961/474,3983/8534
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 1961/474,3983/8534, numerators are 1961,3983
Denominators are 474,8534
The GCF of 1961,3983 is 1 .
LCM of 474,8534 is 2022558.
The greatest common factor of 1961/474,3983/8534 = [GCF of 1961,3983]/[LCM of 474,8534]= 1/2022558
Therefore, the GCF of 1961/474,3983/8534 is 1/2022558.
To find the highest common factor of 1961,3983, 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 3983 are 1, 7, 569, 3983
The HCF of 1961,3983 is 1.
Lets's calculate GCF of 1961,3983
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1961,3983 By Matching Biggest Common Factor Method
Now, list down the factors of 1961
:1,37,53,1961
Now, list down the factors of 3983
:1,7,569,3983
Greatest Common Factor
We found the factors 1961,3983 . The biggest common factor number is the GCF number.
So the greatest common factor 1961,3983 is 1.
Lets's calculate LCM of 474,8534
| 2 | 474, 8534 |
| 237, 4267 |
∴ So the LCM of the given numbers is 2 x 237 x 4267 = 2022558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2022558
Therefore, the GCF of Fractions 1961/474,3983/8534 is 1/2022558
Least Common Multiple of 474,8534 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 474,8534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,8534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,8534) x common factors =2 x 1 = 2
LCM(474,8534) = ( 474 × 8534 ) / 2
LCM(474,8534) = 4045116 / 2
LCM(474,8534) = 2022558
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FAQs on GCF of Fractions of 1961/474, 3983/8534
1. What is the HCF of 1961,3983?
The HCF of 1961,3983 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 1961/474, 3983/8534?
Answer: GCF of Numerators as per given numbers 1961/474, 3983/8534 is
GCF of Numerators i.e. for 1961,3983 is 1
LCM of denominators i.e. for 474,8534 is 2022558.
Thus, GCF of Fractions is 1/2022558.Finally, GCF of Fractions for 1961/474, 3983/8534 is 1/2022558.