GCF of 8276/235, 6995/9384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8276/235, 6995/9384 i.e 1/2205240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8276/235, 6995/9384.
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 8276/235,6995/9384?
Given fractions are 8276/235,6995/9384
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 8276/235,6995/9384, numerators are 8276,6995
Denominators are 235,9384
The GCF of 8276,6995 is 1 .
LCM of 235,9384 is 2205240.
The greatest common factor of 8276/235,6995/9384 = [GCF of 8276,6995]/[LCM of 235,9384]= 1/2205240
Therefore, the GCF of 8276/235,6995/9384 is 1/2205240.
To find the highest common factor of 8276,6995, we have to find the factors of both numbers and list the highest common factor.
The factors of 8276 are 1, 2, 4, 2069, 4138, 8276
The factors of 6995 are 1, 5, 1399, 6995
The HCF of 8276,6995 is 1.
Lets's calculate GCF of 8276,6995
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8276,6995 By Matching Biggest Common Factor Method
Now, list down the factors of 8276
:1,2,4,2069,4138,8276
Now, list down the factors of 6995
:1,5,1399,6995
Greatest Common Factor
We found the factors 8276,6995 . The biggest common factor number is the GCF number.
So the greatest common factor 8276,6995 is 1.
Lets's calculate LCM of 235,9384
Given numbers has no common factors except 1. So, there LCM is their product i.e 2205240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2205240
Therefore, the GCF of Fractions 8276/235,6995/9384 is 1/2205240
Least Common Multiple of 235,9384 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 235,9384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,9384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,9384) x common factors =1 x 1 = 1
LCM(235,9384) = ( 235 × 9384 ) / 1
LCM(235,9384) = 2205240 / 1
LCM(235,9384) = 2205240
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FAQs on GCF of Fractions of 8276/235, 6995/9384
1. What is the HCF of 8276,6995?
The HCF of 8276,6995 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 8276/235, 6995/9384?
Answer: GCF of Numerators as per given numbers 8276/235, 6995/9384 is
GCF of Numerators i.e. for 8276,6995 is 1
LCM of denominators i.e. for 235,9384 is 2205240.
Thus, GCF of Fractions is 1/2205240.Finally, GCF of Fractions for 8276/235, 6995/9384 is 1/2205240.