GCF of 977/374, 349/859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 977/374, 349/859 i.e 1/321266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 977/374, 349/859.
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 977/374,349/859?
Given fractions are 977/374,349/859
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 977/374,349/859, numerators are 977,349
Denominators are 374,859
The GCF of 977,349 is 1 .
LCM of 374,859 is 321266.
The greatest common factor of 977/374,349/859 = [GCF of 977,349]/[LCM of 374,859]= 1/321266
Therefore, the GCF of 977/374,349/859 is 1/321266.
To find the highest common factor of 977,349, we have to find the factors of both numbers and list the highest common factor.
The factors of 977 are 1, 977
The factors of 349 are 1, 349
The HCF of 977,349 is 1.
Lets's calculate GCF of 977,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 977,349 By Matching Biggest Common Factor Method
Now, list down the factors of 977
:1,977
Now, list down the factors of 349
:1,349
Greatest Common Factor
We found the factors 977,349 . The biggest common factor number is the GCF number.
So the greatest common factor 977,349 is 1.
Lets's calculate LCM of 374,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 321266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321266
Therefore, the GCF of Fractions 977/374,349/859 is 1/321266
Least Common Multiple of 374,859 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 374,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(374,859) x common factors =1 x 1 = 1
LCM(374,859) = ( 374 × 859 ) / 1
LCM(374,859) = 321266 / 1
LCM(374,859) = 321266
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FAQs on GCF of Fractions of 977/374, 349/859
1. What is the HCF of 977,349?
The HCF of 977,349 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 977/374, 349/859?
Answer: GCF of Numerators as per given numbers 977/374, 349/859 is
GCF of Numerators i.e. for 977,349 is 1
LCM of denominators i.e. for 374,859 is 321266.
Thus, GCF of Fractions is 1/321266.Finally, GCF of Fractions for 977/374, 349/859 is 1/321266.