GCF of 461/67, 971/8582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 461/67, 971/8582 i.e 1/574994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 461/67, 971/8582.
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 461/67,971/8582?
Given fractions are 461/67,971/8582
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 461/67,971/8582, numerators are 461,971
Denominators are 67,8582
The GCF of 461,971 is 1 .
LCM of 67,8582 is 574994.
The greatest common factor of 461/67,971/8582 = [GCF of 461,971]/[LCM of 67,8582]= 1/574994
Therefore, the GCF of 461/67,971/8582 is 1/574994.
To find the highest common factor of 461,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 461 are 1, 461
The factors of 971 are 1, 971
The HCF of 461,971 is 1.
Lets's calculate GCF of 461,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 461,971 By Matching Biggest Common Factor Method
Now, list down the factors of 461
:1,461
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 461,971 . The biggest common factor number is the GCF number.
So the greatest common factor 461,971 is 1.
Lets's calculate LCM of 67,8582
Given numbers has no common factors except 1. So, there LCM is their product i.e 574994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/574994
Therefore, the GCF of Fractions 461/67,971/8582 is 1/574994
Least Common Multiple of 67,8582 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 67,8582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,8582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,8582) x common factors =1 x 1 = 1
LCM(67,8582) = ( 67 × 8582 ) / 1
LCM(67,8582) = 574994 / 1
LCM(67,8582) = 574994
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FAQs on GCF of Fractions of 461/67, 971/8582
1. What is the HCF of 461,971?
The HCF of 461,971 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 461/67, 971/8582?
Answer: GCF of Numerators as per given numbers 461/67, 971/8582 is
GCF of Numerators i.e. for 461,971 is 1
LCM of denominators i.e. for 67,8582 is 574994.
Thus, GCF of Fractions is 1/574994.Finally, GCF of Fractions for 461/67, 971/8582 is 1/574994.