GCF of 1087/463, 8498/4208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1087/463, 8498/4208 i.e 1/1948304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1087/463, 8498/4208.
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 1087/463,8498/4208?
Given fractions are 1087/463,8498/4208
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 1087/463,8498/4208, numerators are 1087,8498
Denominators are 463,4208
The GCF of 1087,8498 is 1 .
LCM of 463,4208 is 1948304.
The greatest common factor of 1087/463,8498/4208 = [GCF of 1087,8498]/[LCM of 463,4208]= 1/1948304
Therefore, the GCF of 1087/463,8498/4208 is 1/1948304.
To find the highest common factor of 1087,8498, we have to find the factors of both numbers and list the highest common factor.
The factors of 1087 are 1, 1087
The factors of 8498 are 1, 2, 7, 14, 607, 1214, 4249, 8498
The HCF of 1087,8498 is 1.
Lets's calculate GCF of 1087,8498
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1087,8498 By Matching Biggest Common Factor Method
Now, list down the factors of 1087
:1,1087
Now, list down the factors of 8498
:1,2,7,14,607,1214,4249,8498
Greatest Common Factor
We found the factors 1087,8498 . The biggest common factor number is the GCF number.
So the greatest common factor 1087,8498 is 1.
Lets's calculate LCM of 463,4208
Given numbers has no common factors except 1. So, there LCM is their product i.e 1948304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1948304
Therefore, the GCF of Fractions 1087/463,8498/4208 is 1/1948304
Least Common Multiple of 463,4208 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 463,4208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,4208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,4208) x common factors =1 x 1 = 1
LCM(463,4208) = ( 463 × 4208 ) / 1
LCM(463,4208) = 1948304 / 1
LCM(463,4208) = 1948304
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FAQs on GCF of Fractions of 1087/463, 8498/4208
1. What is the HCF of 1087,8498?
The HCF of 1087,8498 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 1087/463, 8498/4208?
Answer: GCF of Numerators as per given numbers 1087/463, 8498/4208 is
GCF of Numerators i.e. for 1087,8498 is 1
LCM of denominators i.e. for 463,4208 is 1948304.
Thus, GCF of Fractions is 1/1948304.Finally, GCF of Fractions for 1087/463, 8498/4208 is 1/1948304.