GCF of 8429/987, 3098/7912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8429/987, 3098/7912 i.e 1/7809144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8429/987, 3098/7912.
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 8429/987,3098/7912?
Given fractions are 8429/987,3098/7912
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 8429/987,3098/7912, numerators are 8429,3098
Denominators are 987,7912
The GCF of 8429,3098 is 1 .
LCM of 987,7912 is 7809144.
The greatest common factor of 8429/987,3098/7912 = [GCF of 8429,3098]/[LCM of 987,7912]= 1/7809144
Therefore, the GCF of 8429/987,3098/7912 is 1/7809144.
To find the highest common factor of 8429,3098, we have to find the factors of both numbers and list the highest common factor.
The factors of 8429 are 1, 8429
The factors of 3098 are 1, 2, 1549, 3098
The HCF of 8429,3098 is 1.
Lets's calculate GCF of 8429,3098
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8429,3098 By Matching Biggest Common Factor Method
Now, list down the factors of 8429
:1,8429
Now, list down the factors of 3098
:1,2,1549,3098
Greatest Common Factor
We found the factors 8429,3098 . The biggest common factor number is the GCF number.
So the greatest common factor 8429,3098 is 1.
Lets's calculate LCM of 987,7912
Given numbers has no common factors except 1. So, there LCM is their product i.e 7809144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7809144
Therefore, the GCF of Fractions 8429/987,3098/7912 is 1/7809144
Least Common Multiple of 987,7912 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 987,7912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,7912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,7912) x common factors =1 x 1 = 1
LCM(987,7912) = ( 987 × 7912 ) / 1
LCM(987,7912) = 7809144 / 1
LCM(987,7912) = 7809144
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FAQs on GCF of Fractions of 8429/987, 3098/7912
1. What is the HCF of 8429,3098?
The HCF of 8429,3098 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 8429/987, 3098/7912?
Answer: GCF of Numerators as per given numbers 8429/987, 3098/7912 is
GCF of Numerators i.e. for 8429,3098 is 1
LCM of denominators i.e. for 987,7912 is 7809144.
Thus, GCF of Fractions is 1/7809144.Finally, GCF of Fractions for 8429/987, 3098/7912 is 1/7809144.