GCF of 967/71, 242/9547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 967/71, 242/9547 i.e 1/677837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 967/71, 242/9547.
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 967/71,242/9547?
Given fractions are 967/71,242/9547
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 967/71,242/9547, numerators are 967,242
Denominators are 71,9547
The GCF of 967,242 is 1 .
LCM of 71,9547 is 677837.
The greatest common factor of 967/71,242/9547 = [GCF of 967,242]/[LCM of 71,9547]= 1/677837
Therefore, the GCF of 967/71,242/9547 is 1/677837.
To find the highest common factor of 967,242, we have to find the factors of both numbers and list the highest common factor.
The factors of 967 are 1, 967
The factors of 242 are 1, 2, 11, 22, 121, 242
The HCF of 967,242 is 1.
Lets's calculate GCF of 967,242
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 967,242 By Matching Biggest Common Factor Method
Now, list down the factors of 967
:1,967
Now, list down the factors of 242
:1,2,11,22,121,242
Greatest Common Factor
We found the factors 967,242 . The biggest common factor number is the GCF number.
So the greatest common factor 967,242 is 1.
Lets's calculate LCM of 71,9547
Given numbers has no common factors except 1. So, there LCM is their product i.e 677837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/677837
Therefore, the GCF of Fractions 967/71,242/9547 is 1/677837
Least Common Multiple of 71,9547 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 71,9547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,9547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,9547) x common factors =1 x 1 = 1
LCM(71,9547) = ( 71 × 9547 ) / 1
LCM(71,9547) = 677837 / 1
LCM(71,9547) = 677837
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FAQs on GCF of Fractions of 967/71, 242/9547
1. What is the HCF of 967,242?
The HCF of 967,242 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 967/71, 242/9547?
Answer: GCF of Numerators as per given numbers 967/71, 242/9547 is
GCF of Numerators i.e. for 967,242 is 1
LCM of denominators i.e. for 71,9547 is 677837.
Thus, GCF of Fractions is 1/677837.Finally, GCF of Fractions for 967/71, 242/9547 is 1/677837.