GCF of 581/842, 1978/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 581/842, 1978/974 i.e 1/410054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 581/842, 1978/974.
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 581/842,1978/974?
Given fractions are 581/842,1978/974
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 581/842,1978/974, numerators are 581,1978
Denominators are 842,974
The GCF of 581,1978 is 1 .
LCM of 842,974 is 410054.
The greatest common factor of 581/842,1978/974 = [GCF of 581,1978]/[LCM of 842,974]= 1/410054
Therefore, the GCF of 581/842,1978/974 is 1/410054.
To find the highest common factor of 581,1978, we have to find the factors of both numbers and list the highest common factor.
The factors of 581 are 1, 7, 83, 581
The factors of 1978 are 1, 2, 23, 43, 46, 86, 989, 1978
The HCF of 581,1978 is 1.
Lets's calculate GCF of 581,1978
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 581,1978 By Matching Biggest Common Factor Method
Now, list down the factors of 581
:1,7,83,581
Now, list down the factors of 1978
:1,2,23,43,46,86,989,1978
Greatest Common Factor
We found the factors 581,1978 . The biggest common factor number is the GCF number.
So the greatest common factor 581,1978 is 1.
Lets's calculate LCM of 842,974
| 2 | 842, 974 |
| 421, 487 |
∴ So the LCM of the given numbers is 2 x 421 x 487 = 410054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410054
Therefore, the GCF of Fractions 581/842,1978/974 is 1/410054
Least Common Multiple of 842,974 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 842,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,974) x common factors =2 x 1 = 2
LCM(842,974) = ( 842 × 974 ) / 2
LCM(842,974) = 820108 / 2
LCM(842,974) = 410054
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FAQs on GCF of Fractions of 581/842, 1978/974
1. What is the HCF of 581,1978?
The HCF of 581,1978 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 581/842, 1978/974?
Answer: GCF of Numerators as per given numbers 581/842, 1978/974 is
GCF of Numerators i.e. for 581,1978 is 1
LCM of denominators i.e. for 842,974 is 410054.
Thus, GCF of Fractions is 1/410054.Finally, GCF of Fractions for 581/842, 1978/974 is 1/410054.