GCF of 6151/634, 1338/2169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6151/634, 1338/2169 i.e 1/1375146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6151/634, 1338/2169.
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 6151/634,1338/2169?
Given fractions are 6151/634,1338/2169
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 6151/634,1338/2169, numerators are 6151,1338
Denominators are 634,2169
The GCF of 6151,1338 is 1 .
LCM of 634,2169 is 1375146.
The greatest common factor of 6151/634,1338/2169 = [GCF of 6151,1338]/[LCM of 634,2169]= 1/1375146
Therefore, the GCF of 6151/634,1338/2169 is 1/1375146.
To find the highest common factor of 6151,1338, we have to find the factors of both numbers and list the highest common factor.
The factors of 6151 are 1, 6151
The factors of 1338 are 1, 2, 3, 6, 223, 446, 669, 1338
The HCF of 6151,1338 is 1.
Lets's calculate GCF of 6151,1338
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6151,1338 By Matching Biggest Common Factor Method
Now, list down the factors of 6151
:1,6151
Now, list down the factors of 1338
:1,2,3,6,223,446,669,1338
Greatest Common Factor
We found the factors 6151,1338 . The biggest common factor number is the GCF number.
So the greatest common factor 6151,1338 is 1.
Lets's calculate LCM of 634,2169
Given numbers has no common factors except 1. So, there LCM is their product i.e 1375146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1375146
Therefore, the GCF of Fractions 6151/634,1338/2169 is 1/1375146
Least Common Multiple of 634,2169 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 634,2169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,2169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,2169) x common factors =1 x 1 = 1
LCM(634,2169) = ( 634 × 2169 ) / 1
LCM(634,2169) = 1375146 / 1
LCM(634,2169) = 1375146
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FAQs on GCF of Fractions of 6151/634, 1338/2169
1. What is the HCF of 6151,1338?
The HCF of 6151,1338 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 6151/634, 1338/2169?
Answer: GCF of Numerators as per given numbers 6151/634, 1338/2169 is
GCF of Numerators i.e. for 6151,1338 is 1
LCM of denominators i.e. for 634,2169 is 1375146.
Thus, GCF of Fractions is 1/1375146.Finally, GCF of Fractions for 6151/634, 1338/2169 is 1/1375146.