GCF of 715/948, 9671/6109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 715/948, 9671/6109 i.e 1/5791332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/948, 9671/6109.
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 715/948,9671/6109?
Given fractions are 715/948,9671/6109
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 715/948,9671/6109, numerators are 715,9671
Denominators are 948,6109
The GCF of 715,9671 is 1 .
LCM of 948,6109 is 5791332.
The greatest common factor of 715/948,9671/6109 = [GCF of 715,9671]/[LCM of 948,6109]= 1/5791332
Therefore, the GCF of 715/948,9671/6109 is 1/5791332.
To find the highest common factor of 715,9671, we have to find the factors of both numbers and list the highest common factor.
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The factors of 9671 are 1, 19, 509, 9671
The HCF of 715,9671 is 1.
Lets's calculate GCF of 715,9671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 715,9671 By Matching Biggest Common Factor Method
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Now, list down the factors of 9671
:1,19,509,9671
Greatest Common Factor
We found the factors 715,9671 . The biggest common factor number is the GCF number.
So the greatest common factor 715,9671 is 1.
Lets's calculate LCM of 948,6109
Given numbers has no common factors except 1. So, there LCM is their product i.e 5791332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5791332
Therefore, the GCF of Fractions 715/948,9671/6109 is 1/5791332
Least Common Multiple of 948,6109 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 948,6109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,6109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(948,6109) x common factors =1 x 1 = 1
LCM(948,6109) = ( 948 × 6109 ) / 1
LCM(948,6109) = 5791332 / 1
LCM(948,6109) = 5791332
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FAQs on GCF of Fractions of 715/948, 9671/6109
1. What is the HCF of 715,9671?
The HCF of 715,9671 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 715/948, 9671/6109?
Answer: GCF of Numerators as per given numbers 715/948, 9671/6109 is
GCF of Numerators i.e. for 715,9671 is 1
LCM of denominators i.e. for 948,6109 is 5791332.
Thus, GCF of Fractions is 1/5791332.Finally, GCF of Fractions for 715/948, 9671/6109 is 1/5791332.