GCF of 8134/319, 8627/7316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8134/319, 8627/7316 i.e 1/2333804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8134/319, 8627/7316.
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 8134/319,8627/7316?
Given fractions are 8134/319,8627/7316
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 8134/319,8627/7316, numerators are 8134,8627
Denominators are 319,7316
The GCF of 8134,8627 is 1 .
LCM of 319,7316 is 2333804.
The greatest common factor of 8134/319,8627/7316 = [GCF of 8134,8627]/[LCM of 319,7316]= 1/2333804
Therefore, the GCF of 8134/319,8627/7316 is 1/2333804.
To find the highest common factor of 8134,8627, we have to find the factors of both numbers and list the highest common factor.
The factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134
The factors of 8627 are 1, 8627
The HCF of 8134,8627 is 1.
Lets's calculate GCF of 8134,8627
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8134,8627 By Matching Biggest Common Factor Method
Now, list down the factors of 8134
:1,2,7,14,49,83,98,166,581,1162,4067,8134
Now, list down the factors of 8627
:1,8627
Greatest Common Factor
We found the factors 8134,8627 . The biggest common factor number is the GCF number.
So the greatest common factor 8134,8627 is 1.
Lets's calculate LCM of 319,7316
Given numbers has no common factors except 1. So, there LCM is their product i.e 2333804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2333804
Therefore, the GCF of Fractions 8134/319,8627/7316 is 1/2333804
Least Common Multiple of 319,7316 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 319,7316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,7316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,7316) x common factors =1 x 1 = 1
LCM(319,7316) = ( 319 × 7316 ) / 1
LCM(319,7316) = 2333804 / 1
LCM(319,7316) = 2333804
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FAQs on GCF of Fractions of 8134/319, 8627/7316
1. What is the HCF of 8134,8627?
The HCF of 8134,8627 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 8134/319, 8627/7316?
Answer: GCF of Numerators as per given numbers 8134/319, 8627/7316 is
GCF of Numerators i.e. for 8134,8627 is 1
LCM of denominators i.e. for 319,7316 is 2333804.
Thus, GCF of Fractions is 1/2333804.Finally, GCF of Fractions for 8134/319, 8627/7316 is 1/2333804.