GCF of 4211/967, 8922/2527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4211/967, 8922/2527 i.e 1/2443609 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4211/967, 8922/2527.
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 4211/967,8922/2527?
Given fractions are 4211/967,8922/2527
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 4211/967,8922/2527, numerators are 4211,8922
Denominators are 967,2527
The GCF of 4211,8922 is 1 .
LCM of 967,2527 is 2443609.
The greatest common factor of 4211/967,8922/2527 = [GCF of 4211,8922]/[LCM of 967,2527]= 1/2443609
Therefore, the GCF of 4211/967,8922/2527 is 1/2443609.
To find the highest common factor of 4211,8922, we have to find the factors of both numbers and list the highest common factor.
The factors of 4211 are 1, 4211
The factors of 8922 are 1, 2, 3, 6, 1487, 2974, 4461, 8922
The HCF of 4211,8922 is 1.
Lets's calculate GCF of 4211,8922
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4211,8922 By Matching Biggest Common Factor Method
Now, list down the factors of 4211
:1,4211
Now, list down the factors of 8922
:1,2,3,6,1487,2974,4461,8922
Greatest Common Factor
We found the factors 4211,8922 . The biggest common factor number is the GCF number.
So the greatest common factor 4211,8922 is 1.
Lets's calculate LCM of 967,2527
Given numbers has no common factors except 1. So, there LCM is their product i.e 2443609
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2443609
Therefore, the GCF of Fractions 4211/967,8922/2527 is 1/2443609
Least Common Multiple of 967,2527 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 967,2527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,2527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,2527) x common factors =1 x 1 = 1
LCM(967,2527) = ( 967 × 2527 ) / 1
LCM(967,2527) = 2443609 / 1
LCM(967,2527) = 2443609
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FAQs on GCF of Fractions of 4211/967, 8922/2527
1. What is the HCF of 4211,8922?
The HCF of 4211,8922 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 4211/967, 8922/2527?
Answer: GCF of Numerators as per given numbers 4211/967, 8922/2527 is
GCF of Numerators i.e. for 4211,8922 is 1
LCM of denominators i.e. for 967,2527 is 2443609.
Thus, GCF of Fractions is 1/2443609.Finally, GCF of Fractions for 4211/967, 8922/2527 is 1/2443609.