GCF of 8377/239, 3029/7680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8377/239, 3029/7680 i.e 1/1835520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8377/239, 3029/7680.
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 8377/239,3029/7680?
Given fractions are 8377/239,3029/7680
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 8377/239,3029/7680, numerators are 8377,3029
Denominators are 239,7680
The GCF of 8377,3029 is 1 .
LCM of 239,7680 is 1835520.
The greatest common factor of 8377/239,3029/7680 = [GCF of 8377,3029]/[LCM of 239,7680]= 1/1835520
Therefore, the GCF of 8377/239,3029/7680 is 1/1835520.
To find the highest common factor of 8377,3029, we have to find the factors of both numbers and list the highest common factor.
The factors of 8377 are 1, 8377
The factors of 3029 are 1, 13, 233, 3029
The HCF of 8377,3029 is 1.
Lets's calculate GCF of 8377,3029
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8377,3029 By Matching Biggest Common Factor Method
Now, list down the factors of 8377
:1,8377
Now, list down the factors of 3029
:1,13,233,3029
Greatest Common Factor
We found the factors 8377,3029 . The biggest common factor number is the GCF number.
So the greatest common factor 8377,3029 is 1.
Lets's calculate LCM of 239,7680
Given numbers has no common factors except 1. So, there LCM is their product i.e 1835520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1835520
Therefore, the GCF of Fractions 8377/239,3029/7680 is 1/1835520
Least Common Multiple of 239,7680 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 239,7680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,7680) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,7680) x common factors =1 x 1 = 1
LCM(239,7680) = ( 239 × 7680 ) / 1
LCM(239,7680) = 1835520 / 1
LCM(239,7680) = 1835520
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FAQs on GCF of Fractions of 8377/239, 3029/7680
1. What is the HCF of 8377,3029?
The HCF of 8377,3029 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 8377/239, 3029/7680?
Answer: GCF of Numerators as per given numbers 8377/239, 3029/7680 is
GCF of Numerators i.e. for 8377,3029 is 1
LCM of denominators i.e. for 239,7680 is 1835520.
Thus, GCF of Fractions is 1/1835520.Finally, GCF of Fractions for 8377/239, 3029/7680 is 1/1835520.