GCF of 353/74, 978/271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 353/74, 978/271 i.e 1/20054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/74, 978/271.
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 353/74,978/271?
Given fractions are 353/74,978/271
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 353/74,978/271, numerators are 353,978
Denominators are 74,271
The GCF of 353,978 is 1 .
LCM of 74,271 is 20054.
The greatest common factor of 353/74,978/271 = [GCF of 353,978]/[LCM of 74,271]= 1/20054
Therefore, the GCF of 353/74,978/271 is 1/20054.
To find the highest common factor of 353,978, we have to find the factors of both numbers and list the highest common factor.
The factors of 353 are 1, 353
The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978
The HCF of 353,978 is 1.
Lets's calculate GCF of 353,978
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 353,978 By Matching Biggest Common Factor Method
Now, list down the factors of 353
:1,353
Now, list down the factors of 978
:1,2,3,6,163,326,489,978
Greatest Common Factor
We found the factors 353,978 . The biggest common factor number is the GCF number.
So the greatest common factor 353,978 is 1.
Lets's calculate LCM of 74,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 20054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20054
Therefore, the GCF of Fractions 353/74,978/271 is 1/20054
Least Common Multiple of 74,271 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 74,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,271) x common factors =1 x 1 = 1
LCM(74,271) = ( 74 × 271 ) / 1
LCM(74,271) = 20054 / 1
LCM(74,271) = 20054
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FAQs on GCF of Fractions of 353/74, 978/271
1. What is the HCF of 353,978?
The HCF of 353,978 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 353/74, 978/271?
Answer: GCF of Numerators as per given numbers 353/74, 978/271 is
GCF of Numerators i.e. for 353,978 is 1
LCM of denominators i.e. for 74,271 is 20054.
Thus, GCF of Fractions is 1/20054.Finally, GCF of Fractions for 353/74, 978/271 is 1/20054.