GCF of 4108/894, 8869/8921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4108/894, 8869/8921 i.e 1/7975374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4108/894, 8869/8921.
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 4108/894,8869/8921?
Given fractions are 4108/894,8869/8921
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 4108/894,8869/8921, numerators are 4108,8869
Denominators are 894,8921
The GCF of 4108,8869 is 1 .
LCM of 894,8921 is 7975374.
The greatest common factor of 4108/894,8869/8921 = [GCF of 4108,8869]/[LCM of 894,8921]= 1/7975374
Therefore, the GCF of 4108/894,8869/8921 is 1/7975374.
To find the highest common factor of 4108,8869, we have to find the factors of both numbers and list the highest common factor.
The factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108
The factors of 8869 are 1, 7, 49, 181, 1267, 8869
The HCF of 4108,8869 is 1.
Lets's calculate GCF of 4108,8869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4108,8869 By Matching Biggest Common Factor Method
Now, list down the factors of 4108
:1,2,4,13,26,52,79,158,316,1027,2054,4108
Now, list down the factors of 8869
:1,7,49,181,1267,8869
Greatest Common Factor
We found the factors 4108,8869 . The biggest common factor number is the GCF number.
So the greatest common factor 4108,8869 is 1.
Lets's calculate LCM of 894,8921
Given numbers has no common factors except 1. So, there LCM is their product i.e 7975374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7975374
Therefore, the GCF of Fractions 4108/894,8869/8921 is 1/7975374
Least Common Multiple of 894,8921 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 894,8921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,8921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(894,8921) x common factors =1 x 1 = 1
LCM(894,8921) = ( 894 × 8921 ) / 1
LCM(894,8921) = 7975374 / 1
LCM(894,8921) = 7975374
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FAQs on GCF of Fractions of 4108/894, 8869/8921
1. What is the HCF of 4108,8869?
The HCF of 4108,8869 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 4108/894, 8869/8921?
Answer: GCF of Numerators as per given numbers 4108/894, 8869/8921 is
GCF of Numerators i.e. for 4108,8869 is 1
LCM of denominators i.e. for 894,8921 is 7975374.
Thus, GCF of Fractions is 1/7975374.Finally, GCF of Fractions for 4108/894, 8869/8921 is 1/7975374.