GCF of 3257/377, 8879/1960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3257/377, 8879/1960 i.e 1/738920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3257/377, 8879/1960.
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 3257/377,8879/1960?
Given fractions are 3257/377,8879/1960
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 3257/377,8879/1960, numerators are 3257,8879
Denominators are 377,1960
The GCF of 3257,8879 is 1 .
LCM of 377,1960 is 738920.
The greatest common factor of 3257/377,8879/1960 = [GCF of 3257,8879]/[LCM of 377,1960]= 1/738920
Therefore, the GCF of 3257/377,8879/1960 is 1/738920.
To find the highest common factor of 3257,8879, we have to find the factors of both numbers and list the highest common factor.
The factors of 3257 are 1, 3257
The factors of 8879 are 1, 13, 683, 8879
The HCF of 3257,8879 is 1.
Lets's calculate GCF of 3257,8879
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3257,8879 By Matching Biggest Common Factor Method
Now, list down the factors of 3257
:1,3257
Now, list down the factors of 8879
:1,13,683,8879
Greatest Common Factor
We found the factors 3257,8879 . The biggest common factor number is the GCF number.
So the greatest common factor 3257,8879 is 1.
Lets's calculate LCM of 377,1960
Given numbers has no common factors except 1. So, there LCM is their product i.e 738920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/738920
Therefore, the GCF of Fractions 3257/377,8879/1960 is 1/738920
Least Common Multiple of 377,1960 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 377,1960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,1960) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,1960) x common factors =1 x 1 = 1
LCM(377,1960) = ( 377 × 1960 ) / 1
LCM(377,1960) = 738920 / 1
LCM(377,1960) = 738920
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FAQs on GCF of Fractions of 3257/377, 8879/1960
1. What is the HCF of 3257,8879?
The HCF of 3257,8879 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 3257/377, 8879/1960?
Answer: GCF of Numerators as per given numbers 3257/377, 8879/1960 is
GCF of Numerators i.e. for 3257,8879 is 1
LCM of denominators i.e. for 377,1960 is 738920.
Thus, GCF of Fractions is 1/738920.Finally, GCF of Fractions for 3257/377, 8879/1960 is 1/738920.