GCF of 1098/977, 8179/4204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1098/977, 8179/4204 i.e 1/4107308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1098/977, 8179/4204.
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 1098/977,8179/4204?
Given fractions are 1098/977,8179/4204
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 1098/977,8179/4204, numerators are 1098,8179
Denominators are 977,4204
The GCF of 1098,8179 is 1 .
LCM of 977,4204 is 4107308.
The greatest common factor of 1098/977,8179/4204 = [GCF of 1098,8179]/[LCM of 977,4204]= 1/4107308
Therefore, the GCF of 1098/977,8179/4204 is 1/4107308.
To find the highest common factor of 1098,8179, we have to find the factors of both numbers and list the highest common factor.
The factors of 1098 are 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098
The factors of 8179 are 1, 8179
The HCF of 1098,8179 is 1.
Lets's calculate GCF of 1098,8179
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1098,8179 By Matching Biggest Common Factor Method
Now, list down the factors of 1098
:1,2,3,6,9,18,61,122,183,366,549,1098
Now, list down the factors of 8179
:1,8179
Greatest Common Factor
We found the factors 1098,8179 . The biggest common factor number is the GCF number.
So the greatest common factor 1098,8179 is 1.
Lets's calculate LCM of 977,4204
Given numbers has no common factors except 1. So, there LCM is their product i.e 4107308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4107308
Therefore, the GCF of Fractions 1098/977,8179/4204 is 1/4107308
Least Common Multiple of 977,4204 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 977,4204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,4204) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,4204) x common factors =1 x 1 = 1
LCM(977,4204) = ( 977 × 4204 ) / 1
LCM(977,4204) = 4107308 / 1
LCM(977,4204) = 4107308
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FAQs on GCF of Fractions of 1098/977, 8179/4204
1. What is the HCF of 1098,8179?
The HCF of 1098,8179 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 1098/977, 8179/4204?
Answer: GCF of Numerators as per given numbers 1098/977, 8179/4204 is
GCF of Numerators i.e. for 1098,8179 is 1
LCM of denominators i.e. for 977,4204 is 4107308.
Thus, GCF of Fractions is 1/4107308.Finally, GCF of Fractions for 1098/977, 8179/4204 is 1/4107308.